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الله الرحمن الرحيم المرة |
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2 |
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00:00:24,670 --> 00:00:27,090 |
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الأولى تكون نحكي عن ال relationship between |
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3 |
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treasury bills and inflation rates اليوم هنحكي |
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00:00:31,150 --> 00:00:35,750 |
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العلاقة بين ال risk and risk premiums علاقة ال |
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00:00:35,750 --> 00:00:38,490 |
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risk and risk premiums خليني نعرف أيش ال risk and |
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6 |
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00:00:38,490 --> 00:00:41,950 |
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premiums ال risk عارفين من المخاطر ال risk |
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7 |
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00:00:41,950 --> 00:00:48,690 |
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premiums هي علاوة المخاطر لو احنا ركزنا بال charts |
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00:00:50,620 --> 00:00:55,040 |
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بركزنا بال charts و |
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00:00:55,040 --> 00:01:00,440 |
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حكينا هن ال commercial paper okay و هن ال sorry هن |
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10 |
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00:01:00,440 --> 00:01:06,700 |
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treasury bills هن commercial paper و هن stocks و |
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00:01:06,700 --> 00:01:12,160 |
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هن bonds و هن derivatives okay احنا بنعرف الكلام |
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12 |
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00:01:12,160 --> 00:01:17,120 |
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هذا من الأول خليني أسأل سؤال بسيط which holding |
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13 |
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more risk stocks or bondsمين بيحمل المخاطر اكتر؟ |
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14 |
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00:01:23,100 --> 00:01:26,480 |
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ال stocks ولا ال bonds؟ bonds طبعا هناخد risk هان |
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00:01:26,480 --> 00:01:30,800 |
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و هناخد ال expected return يعني هاي ال risk و هاي |
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16 |
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00:01:30,800 --> 00:01:35,440 |
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ال return اذا ال stocks holding more risk than ال |
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17 |
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00:01:35,440 --> 00:01:40,100 |
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bonds ال stocks بتحمل مخاطر اعلى من ال bonds، |
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18 |
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00:01:40,100 --> 00:01:47,320 |
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مظبوط؟ طيب يعني لو احنا أخدمها ال bonds |
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19 |
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00:01:56,540 --> 00:02:01,720 |
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الـ stocks زي |
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20 |
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00:02:01,720 --> 00:02:08,200 |
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ما انتوا شايفين holding higher risk than bonds |
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21 |
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00:02:08,200 --> 00:02:13,700 |
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okay look at this chart اذا هذا ال risk risk is |
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22 |
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00:02:13,700 --> 00:02:17,480 |
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measured by sigma we will explain what it means |
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23 |
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sigmaال risk مقاس ب sigma فإذا احنا اعتبرنا هذا |
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00:02:23,660 --> 00:02:26,340 |
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sigma zero اللي هو treasure built sigma zero يعني |
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00:02:26,340 --> 00:02:30,100 |
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ال .. ال .. ال system at risk عن sigma zero هذا |
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00:02:30,100 --> 00:02:34,640 |
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sigma one وهنا sigma two اللي هو sigma two اللي هو |
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27 |
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sigma بتاعة ال stock و sigma one اللي هو sigma |
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بتاعة ال bond sigma bond طيب إيش بتلاحظوا ال sigma |
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29 |
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00:02:42,820 --> 00:02:49,400 |
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of stocksis greater than sigma of bond look at the |
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30 |
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expected rate of return of bonds expected rate R |
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31 |
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of bonds and look at the R of stock which is |
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32 |
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greater the return of stocks or the return of |
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33 |
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bonds stocks is greater by this يعني هو أكبر ب |
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00:03:13,400 --> 00:03:21,120 |
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بهالفترة هذه because look at here because stocks |
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35 |
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00:03:21,120 --> 00:03:25,120 |
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holding more risk they are holding higher return |
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36 |
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00:03:25,120 --> 00:03:32,580 |
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the difference of stocks risk is compensated by |
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37 |
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00:03:32,580 --> 00:03:35,920 |
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risk premium so because the investors holding more |
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38 |
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00:03:35,920 --> 00:03:41,360 |
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risk are compensated byexcess return or risk |
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39 |
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premium فهذه الفترة تسميها excess premium او risk |
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40 |
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premium risk premium or |
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return premium يعني سميها return premium وفي بعض |
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42 |
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00:03:58,020 --> 00:04:05,260 |
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الكتب بيسموها excess return excess return يعني زي |
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00:04:05,260 --> 00:04:09,300 |
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ما احنا اتحملنا مخاطر اكتر في ال stocksهناخد عائد |
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اكتر، قداش قيمة العائد الزيادة هي هذه الفترة |
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00:04:12,320 --> 00:04:16,280 |
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الزمنية، شايفينها؟ just this هذا الفرق من ناتوم |
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46 |
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because we are holding higher risk we are taking |
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47 |
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higher return okay طيب so first of all قبل ما احنا |
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48 |
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00:04:27,680 --> 00:04:31,680 |
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to go in details about thisخلّينا ندخل في التفاصيل |
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49 |
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00:04:31,680 --> 00:04:35,380 |
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خلّينا ت estimate the expected rate of return of |
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50 |
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stocks or of bonds و بعدين بنعمل estimation لل |
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51 |
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sigma then we calculate the differences in the |
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52 |
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risk premium لأنه |
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53 |
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احنا هتحملنا مخاطر أعلى فال return هيكون أعلى |
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54 |
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00:04:50,800 --> 00:04:55,210 |
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فالخريطة تبعتنا من هان لكمان يومانيعني ال meeting |
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55 |
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هذا مع ال meeting الجاي هنحكي بال how we estimate |
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56 |
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00:04:59,530 --> 00:05:04,490 |
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the return then how we estimate sigma كيف نحسب ال |
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57 |
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00:05:04,490 --> 00:05:07,670 |
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return و كيف نحسب ال sigma ال sigma اللي هو ال .. |
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58 |
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00:05:07,670 --> 00:05:10,750 |
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ال sigma استعملها ال deviation و ال .. و ال |
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59 |
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00:05:10,750 --> 00:05:14,710 |
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variance هنحكي فيها okay أخدتوها بال .. بال |
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60 |
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00:05:14,710 --> 00:05:19,640 |
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statistics okay rates of returnاللي هو كيف نحسب ال |
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61 |
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00:05:19,640 --> 00:05:23,700 |
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rate of return ال rate of return زي ما تشوفين بقى |
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62 |
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00:05:23,700 --> 00:05:29,280 |
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b1 minus b0 plus d1 على b0 طبعا هذا ال rate of |
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63 |
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00:05:29,280 --> 00:05:33,800 |
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return for the stockإذا بنحسب لأي stock بنقول اللي |
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64 |
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هو B1 minus B node divided by B node plus D1 على B |
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65 |
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node فإذا إحنا بنجمعهم مع بعض بتساوي B1 minus B |
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66 |
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00:05:43,920 --> 00:05:51,160 |
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node على B node plus D1 إيش B1 مش B node أو D1؟ لو |
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67 |
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00:05:51,160 --> 00:05:55,180 |
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إحنا أخدنا for instance stock one particular stock |
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68 |
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for instance one particular stock |
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69 |
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is we bought a stock of Baltim or a stock of BIC |
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70 |
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00:06:08,130 --> 00:06:12,270 |
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شركة اسمها BIC موجودة في BIC موجودة في سوق فلسطين |
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71 |
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00:06:12,270 --> 00:06:17,070 |
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الأوراق المالية ونفترض انه ال BIC 2.5 اشتريناها ع |
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72 |
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00:06:17,070 --> 00:06:24,430 |
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2.5 so هذا ال buying price we bought the BIC at 2 |
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73 |
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00:06:24,430 --> 00:06:37,450 |
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.5 and we sold itat 4.75 وبيعناه على 4.75 4.75 |
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74 |
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00:06:37,450 --> 00:06:42,150 |
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during the holding period يعني خلال الفترة الزمنية |
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75 |
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00:06:42,150 --> 00:06:45,730 |
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و احنا حاملين السهم we receive dividends we |
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76 |
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00:06:45,730 --> 00:06:49,330 |
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receive dividends |
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77 |
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00:06:49,330 --> 00:06:52,910 |
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dividends يعني توزيع الأرباح we receive dividends |
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78 |
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00:06:52,910 --> 00:07:03,130 |
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at point twenty or point ten per shareيعني استلام |
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79 |
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00:07:03,130 --> 00:07:09,690 |
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لأرباح point عشرة cents لكل سنة calculate the |
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80 |
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00:07:09,690 --> 00:07:14,750 |
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holding period return يعني قداش العائد خلال الفترة |
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81 |
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00:07:14,750 --> 00:07:17,870 |
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الزمنية فالعائد خلال ال .. you just apply the |
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82 |
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00:07:17,870 --> 00:07:23,910 |
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equation بس احنا هنطبق المعادلة B1 شوفوا ال B1 you |
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83 |
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00:07:23,910 --> 00:07:27,510 |
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have to know B1, B note and dividends ال B1 هي ال |
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84 |
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00:07:27,510 --> 00:07:35,460 |
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buyingالـ B0 هي ال buying ال B1 ال selling و ال |
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85 |
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00:07:35,460 --> 00:07:40,500 |
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dividends is the dividends اللي هو التوزيعات فبصف |
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86 |
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00:07:40,500 --> 00:07:50,740 |
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الحل طبعا بيعناه على 2.75 2.75 فبصف الحل 2.75 |
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87 |
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00:07:50,740 --> 00:07:58,260 |
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minus 2.5 plus 0.10 divided 2.5 |
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88 |
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00:08:01,370 --> 00:08:09,070 |
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يعني B1 2.75 اللي احنا بيعناها على 2.75 اشتريناها |
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89 |
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00:08:09,070 --> 00:08:16,130 |
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على 2.5 واخدنا dividends 0.10 و 2.5 اللي هو ال B |
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90 |
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00:08:16,130 --> 00:08:23,170 |
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notes اللي هو ال buying فقدراش بتطلع الجواب عندكم؟ |
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91 |
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00:08:36,800 --> 00:08:41,060 |
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أربعة عاشر في الميلاد so the answer is fourteen |
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92 |
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00:08:41,060 --> 00:08:46,460 |
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percent طيب لسه محلل اصنعش the |
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93 |
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00:08:46,460 --> 00:08:52,140 |
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return .. the return is divided or is break down |
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94 |
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00:08:52,140 --> 00:08:58,940 |
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into two types of return أي عائد .. فنات تبهوا عني |
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95 |
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00:08:58,940 --> 00:09:01,180 |
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عائد .. أي عائد |
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96 |
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00:09:04,060 --> 00:09:07,620 |
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أي عائد في الدنيا من أي استثمار بيعطيني two |
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97 |
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00:09:07,620 --> 00:09:12,260 |
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different yields يعني بيعطيني عائدين باختلفة عن |
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98 |
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00:09:12,260 --> 00:09:16,460 |
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بعض العائد الأول بيسموه capital gains بيسميه |
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99 |
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00:09:16,460 --> 00:09:21,780 |
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capital gains عائد رأسمالي والعائد التاني بيسموه |
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100 |
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00:09:21,780 --> 00:09:26,700 |
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dividends yield أو في ناس بيسموه current yield طيب |
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101 |
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00:09:26,700 --> 00:09:31,780 |
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نطلع على المعادلة تبعتناحلتوه الكلام هذا حلتوه اه |
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102 |
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00:09:31,780 --> 00:09:42,080 |
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لحظة حلتوه الكلام هذا okay نرجع |
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103 |
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00:09:42,080 --> 00:09:48,200 |
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للمعادرة is b1 minus b0 نفس المعادرة هذه بس just |
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104 |
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00:09:48,200 --> 00:09:54,400 |
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we break it up into two equations plus d1 divided |
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105 |
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00:09:54,400 --> 00:09:59,620 |
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by b0طبعا هذه ال R هي نفس ال holding period اللي |
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106 |
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00:09:59,620 --> 00:10:05,860 |
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هو ال return okay so it means the return has two |
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107 |
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00:10:05,860 --> 00:10:09,960 |
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components ال return له two components يعني مكوّن |
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108 |
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00:10:09,960 --> 00:10:14,400 |
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من من من شقين or two parts the first part this |
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109 |
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part هذا ال part is known as capital gains |
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110 |
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00:10:24,240 --> 00:10:34,200 |
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Capital Gain وهذا الجزء يعرف بـ Dividends Yields |
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111 |
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00:10:34,200 --> 00:10:38,440 |
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لدينا اثنين جزءين مختلفة، الـ Capital Gains |
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112 |
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00:10:38,440 --> 00:10:46,240 |
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وDividends Yields الـ Capital Gains تحدث فقط عندما |
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113 |
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00:10:46,240 --> 00:10:50,710 |
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نبيع الأساتيعني ال capital gains بس بتحدث عندما |
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114 |
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00:10:50,710 --> 00:10:54,210 |
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بنبيع ال assets بنعطيكوا مثال من الحياة العملية |
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115 |
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00:10:54,210 --> 00:11:01,610 |
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تبعتنا لو احنا اشترينا مثلا بيت real estate |
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116 |
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00:11:01,610 --> 00:11:05,370 |
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اشترينا البيت هذا ب 100 أرض دولار okay انتبهوا |
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117 |
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00:11:05,370 --> 00:11:08,610 |
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معايا و ركزوا okay اشترينا البيت هذا by one |
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118 |
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hundred thousand dollar the |
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119 |
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00:11:16,530 --> 00:11:21,630 |
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real .. the houseor the building we bought the |
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120 |
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00:11:21,630 --> 00:11:26,010 |
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building at one hundred thousand dollars هان ال |
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121 |
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00:11:26,010 --> 00:11:30,190 |
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building طب |
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122 |
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00:11:30,190 --> 00:11:33,490 |
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if I ask you calculate the capital gains and the |
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123 |
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00:11:33,490 --> 00:11:37,290 |
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current yield or dividend yield the same current |
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124 |
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00:11:37,290 --> 00:11:41,710 |
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yield يعني current yield it means العائد الجارى لو |
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125 |
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00:11:41,710 --> 00:11:47,000 |
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أنا سألكم حسبولي قداش العائد الجارىthere is no |
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126 |
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00:11:47,000 --> 00:11:51,380 |
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additional information مافيش عندي معلومات ان انا |
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127 |
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00:11:51,380 --> 00:11:54,300 |
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how to calculate this if I add up a new |
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128 |
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00:11:54,300 --> 00:11:57,740 |
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information اذا انا اضفتلكم معلومات جديدة قلتلكم |
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129 |
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00:11:57,740 --> 00:12:01,660 |
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the owner of this building decided to rent or to |
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130 |
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00:12:01,660 --> 00:12:07,920 |
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let كلمة let ايش معناه let let معناها انه يؤجر to |
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131 |
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00:12:07,920 --> 00:12:11,690 |
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let the houselet the house يعني rent to let the |
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132 |
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00:12:11,690 --> 00:12:15,210 |
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house يعني يؤجر ال house to let the house for |
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133 |
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00:12:15,210 --> 00:12:22,870 |
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instance by 6000 a year يعني |
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134 |
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00:12:22,870 --> 00:12:27,510 |
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بده يؤجر البيت ب 6000 دولار بالسنة my question is |
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135 |
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00:12:27,510 --> 00:12:30,770 |
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now there is a capital gain here؟ فيه capital |
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136 |
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00:12:30,770 --> 00:12:33,350 |
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gains؟ إيش الموجود يعني ال capital gains ولا |
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137 |
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00:12:33,350 --> 00:12:38,000 |
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current yield current yieldthere is no capital |
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138 |
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00:12:38,000 --> 00:12:41,600 |
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gains لأن ال capital gains only occurs when we |
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139 |
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00:12:41,600 --> 00:12:45,200 |
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sell the business يعني ال capital gains بحدث لما |
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140 |
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00:12:45,200 --> 00:12:50,320 |
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بس احنا بيها as long as we are holding the |
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141 |
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00:12:50,320 --> 00:12:55,780 |
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business it means we only receive a current yield |
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142 |
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00:12:55,780 --> 00:12:58,960 |
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what is the current yield طب قداش ال current yield |
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143 |
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00:12:58,960 --> 00:13:02,440 |
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خلينا نطبق ال equationاحنا ال equation قلنا P1 |
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144 |
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00:13:02,440 --> 00:13:06,860 |
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minus P0 divided by P0 plus اللي هو ال dividends |
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145 |
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00:13:06,860 --> 00:13:11,660 |
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divided by P0 طبعا ال dividends احنا ماعناشه ال |
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146 |
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00:13:11,660 --> 00:13:16,760 |
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dividends فى لنا ال let مظبوط اللي هو احنا الإيجار |
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147 |
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00:13:16,760 --> 00:13:22,040 |
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طبعا هذه مش موجودة عندنا so we have only the |
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148 |
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00:13:22,040 --> 00:13:24,780 |
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current yield يداشة ال current yield؟ six |
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149 |
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00:13:24,780 --> 00:13:29,070 |
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thousands divided by one hundred thousandsso it |
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150 |
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00:13:29,070 --> 00:13:35,610 |
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equals كده ألف على ألف تطلع ستة ألف six percent |
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151 |
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00:13:35,610 --> 00:13:40,770 |
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six percent يعني احنا عندنا ال current yield هو |
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152 |
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00:13:40,770 --> 00:13:47,090 |
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six percent okay just a minute if the owner |
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153 |
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00:13:47,090 --> 00:13:50,190 |
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decided شوفوا كيف انا بدأ اعمل developments لل |
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154 |
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00:13:50,190 --> 00:13:58,940 |
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equation if he or she decided to sell itانه يبيعها |
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155 |
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00:13:58,940 --> 00:14:04,380 |
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and it makes .. okay and then it .. he sold this |
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156 |
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00:14:04,380 --> 00:14:10,640 |
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at one hundred and twenty thousand dollar باقها |
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157 |
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00:14:10,640 --> 00:14:13,680 |
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على مائة و عشرين ألف دولار المبنى بقوا على مائة و |
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158 |
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00:14:13,680 --> 00:14:19,080 |
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عشرين ألف دولار طيب صديق هيكون عندنا ال equation |
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159 |
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00:14:19,080 --> 00:14:19,680 |
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كانت تانية |
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160 |
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00:14:22,460 --> 00:14:26,220 |
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Okay هلا عندك ال .. ال .. ال yields ال R هتساوي |
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161 |
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00:14:26,220 --> 00:14:33,780 |
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again P1 minus P0 divided P0 plus let على P0 |
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162 |
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00:14:33,780 --> 00:14:37,520 |
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فتساوي P1 minus P0 one hundred twenty thousand |
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163 |
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00:14:37,520 --> 00:14:42,040 |
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minus one hundred thousand divided by one hundred |
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164 |
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00:14:42,040 --> 00:14:47,320 |
|
thousand okay plus six thousand divided by one |
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165 |
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00:14:47,320 --> 00:14:54,020 |
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hundred thousand okay nowjust one hundred twenty |
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166 |
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00:14:54,020 --> 00:14:59,280 |
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thousands ناخدها هنا twenty percent plus six |
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167 |
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00:14:59,280 --> 00:15:04,940 |
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percent so the total is twenty six percent واضحة |
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168 |
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00:15:04,940 --> 00:15:07,980 |
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مية و عشرين ألف نقص مية ألف عشرين ألف على مية ألف |
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169 |
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00:15:08,770 --> 00:15:12,050 |
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twenty percent six thousand على ميت ألف تطلع six |
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170 |
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00:15:12,050 --> 00:15:15,830 |
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percent فال total is twenty six percent ستة و |
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171 |
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00:15:15,830 --> 00:15:20,090 |
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عشرين في الميه of them اذا if we go back اذا |
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172 |
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00:15:20,090 --> 00:15:23,490 |
|
نتراجع بنقول انه twenty five percent is capital |
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173 |
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00:15:23,490 --> 00:15:31,530 |
|
gains and six percent is current yield okay |
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174 |
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00:15:38,100 --> 00:15:45,100 |
|
طيب باضح الأمور طيب إذا هو الرجال is .. هو تاجر |
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175 |
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00:15:45,100 --> 00:15:50,760 |
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عقاراته، بدهوش يروح يأجر، يبيع بس، مش بيصير هيك؟ |
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176 |
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00:15:50,760 --> 00:15:55,340 |
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في ناس بيشتريوا العقار و بيأجروا، في ناس بيشتريوا |
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177 |
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00:15:55,340 --> 00:15:58,600 |
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العقار، مابيأجروش يبيعوا على طول، ففي الحالة هذه |
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178 |
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00:15:58,600 --> 00:16:02,120 |
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إيش بيكون فيها؟ بيكون الشقة التانية هذا مايكونش |
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179 |
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00:16:02,120 --> 00:16:08,060 |
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موجود، just depends on this, twenty percent, okay؟ |
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180 |
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00:16:09,160 --> 00:16:17,500 |
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So this is the return لكن |
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181 |
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00:16:17,500 --> 00:16:20,980 |
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الدنيا ماتمشيش بها البساطة هذه صح فيها ال |
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182 |
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00:16:20,980 --> 00:16:31,180 |
|
calculations لو كان عندي انا لو |
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183 |
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00:16:31,180 --> 00:16:34,140 |
|
كان عندي انا I invest in just only one building |
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184 |
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00:16:34,140 --> 00:16:36,980 |
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انا استثمرت في building واحدة if I decided to |
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185 |
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00:16:36,980 --> 00:16:43,020 |
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investin in more than one stock اذا انا عندى اربع |
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186 |
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00:16:43,020 --> 00:16:50,580 |
|
five four five stocks فال R ل ال different stocks |
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187 |
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00:16:50,580 --> 00:16:57,280 |
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is equal the summation of R divided by N مظبوط |
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188 |
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00:16:57,280 --> 00:17:00,300 |
|
اللي هو ال average لو كان عندى انا number of |
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189 |
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00:17:00,300 --> 00:17:07,550 |
|
stocks R of stocks فبجيب ال summation of Rعلى ال |
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190 |
|
00:17:07,550 --> 00:17:12,290 |
|
numbers تبعتهم طبعا على العدد تبعتهم هذا بيسموه ال |
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191 |
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00:17:12,290 --> 00:17:16,630 |
|
arithmetic هذا إيش بيسموه arithmetic ال arithmetic |
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192 |
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00:17:16,630 --> 00:17:24,930 |
|
average طيب this is the case if you invest in |
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193 |
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00:17:24,930 --> 00:17:29,570 |
|
stock one, stock two, stock three till stock n |
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194 |
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00:17:30,620 --> 00:17:35,100 |
|
العدد معاهم الأسهم جداش العائد تبعهم العائد هو |
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195 |
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00:17:35,100 --> 00:17:39,800 |
|
مجموع العواقد على عددهم مظبوط ال average تمام ال |
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196 |
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00:17:39,800 --> 00:17:43,820 |
|
average تبعهم okay |
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197 |
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00:17:43,820 --> 00:17:47,020 |
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طيب |
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198 |
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00:17:47,020 --> 00:17:52,880 |
|
لو كان أنا عندي نرجع |
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199 |
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00:17:52,880 --> 00:17:57,500 |
|
لفكرة العقار لو كان أنا عندي هذا العقار 100 ألف |
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200 |
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00:17:57,500 --> 00:17:57,820 |
|
دولار |
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201 |
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00:18:00,980 --> 00:18:07,700 |
|
اللي هو B note and I'm thinking what is the rate |
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202 |
|
00:18:07,700 --> 00:18:12,660 |
|
of return of this building for the next year ندى |
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203 |
|
00:18:12,660 --> 00:18:16,040 |
|
أعرف العائد للسنة الجاية we don't know exactly |
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204 |
|
00:18:16,040 --> 00:18:18,820 |
|
what is the rate of return for the next year نقدرش |
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205 |
|
00:18:18,820 --> 00:18:21,200 |
|
نعرف بالظبط قداشة rate of return for the next year |
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206 |
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00:18:21,200 --> 00:18:26,240 |
|
so we are uncertain about the rate of return for |
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207 |
|
00:18:26,240 --> 00:18:31,270 |
|
the next yearuncertain يعني غير متأكدين انه جداش |
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208 |
|
00:18:31,270 --> 00:18:38,450 |
|
العقد بتاعنا ممكن يكون نبيع البيت ب110 ألف يعني |
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209 |
|
00:18:38,450 --> 00:18:44,390 |
|
ممكن 120 ممكن نخسر 90 و يضلناه وبالتالي بنعطي |
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|
|
210 |
|
00:18:44,390 --> 00:18:50,350 |
|
احتمالاتالبيعه 110 ممكن احتمالنا يكون 50% نبيعه |
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211 |
|
00:18:50,350 --> 00:18:56,310 |
|
110 ممكن 120 احتمالنا 25% ممكن 90 ألف نبيعه احتمال |
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212 |
|
00:18:56,310 --> 00:19:03,790 |
|
25 طب what is the expected price سهل نضرب كل واحدة |
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213 |
|
00:19:03,790 --> 00:19:10,030 |
|
ال bi نضربها في ال price و بنجمعهم مع بعض طب if we |
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|
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214 |
|
00:19:10,030 --> 00:19:13,850 |
|
invest in the in the stocks اذا احنا بستهتمر في ال |
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215 |
|
00:19:13,850 --> 00:19:19,630 |
|
stocksand we don't know the expected return for |
|
|
|
216 |
|
00:19:19,630 --> 00:19:23,490 |
|
the future يعني احنا بنستثمر في stock now and we |
|
|
|
217 |
|
00:19:23,490 --> 00:19:25,710 |
|
want to estimate the rate of return of a |
|
|
|
218 |
|
00:19:25,710 --> 00:19:29,010 |
|
particular stock for the future يعني احنا مستثمرين |
|
|
|
219 |
|
00:19:29,010 --> 00:19:31,990 |
|
في سهم الآن بدنا نعرف هذا السهم كده يعطينا عائد |
|
|
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220 |
|
00:19:31,990 --> 00:19:35,350 |
|
السنة الجاية nobody knows exactly ماحدش يعرف |
|
|
|
221 |
|
00:19:35,350 --> 00:19:40,640 |
|
بالظبط but we try to predict نحاول نتنبأwe try to |
|
|
|
222 |
|
00:19:40,640 --> 00:19:44,260 |
|
forecast by using the probability نستخدم |
|
|
|
223 |
|
00:19:44,260 --> 00:19:49,100 |
|
الاحتمالات okay so let's see how it works طبعا هذا |
|
|
|
224 |
|
00:19:49,100 --> 00:19:51,500 |
|
كله شرحنا ال beginning price و ال ending price |
|
|
|
225 |
|
00:19:51,500 --> 00:19:58,400 |
|
okay and I give you the samples okay طيب هلأ نيجي |
|
|
|
226 |
|
00:19:58,400 --> 00:19:59,580 |
|
نحكي على الاحتمال |
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|
|
227 |
|
00:20:02,070 --> 00:20:05,010 |
|
the expectation of r we use the expectation of r |
|
|
|
228 |
|
00:20:05,010 --> 00:20:09,610 |
|
the expectation of the of the rates of the return |
|
|
|
229 |
|
00:20:09,610 --> 00:20:12,810 |
|
for the future إذا ال expectation نستخدمها لفيوتر |
|
|
|
230 |
|
00:20:12,810 --> 00:20:16,830 |
|
the question is what is the expected return for |
|
|
|
231 |
|
00:20:16,830 --> 00:20:22,160 |
|
the future اتطلعوا على المثال اللي أعطاكواياانه |
|
|
|
232 |
|
00:20:22,160 --> 00:20:26,460 |
|
احنا بنضرب ال return بال probability look at it هي |
|
|
|
233 |
|
00:20:26,460 --> 00:20:30,520 |
|
is the summation of the probability of the state |
|
|
|
234 |
|
00:20:30,520 --> 00:20:38,520 |
|
احتمال الحدوث times the return of the state أخدته |
|
|
|
235 |
|
00:20:38,520 --> 00:20:43,760 |
|
هذا برياضية التجارين انا معتقد اه أخدته او إدارة |
|
|
|
236 |
|
00:20:43,760 --> 00:20:49,260 |
|
مالية أخدتهمش مهم كتير انه أخدته و ما أخدهوش احنا |
|
|
|
237 |
|
00:20:49,260 --> 00:20:53,860 |
|
بنحاول to bridge it to bridge it off to bridge it |
|
|
|
238 |
|
00:20:53,860 --> 00:21:00,020 |
|
off يعني نغطي الفجوة اه so we try to do this |
|
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|
239 |
|
00:21:00,020 --> 00:21:03,700 |
|
ببساطة خليني just to summarize be attention here |
|
|
|
240 |
|
00:21:03,700 --> 00:21:07,580 |
|
you don't need to memorize لا تحاولوش انك تحفظوا |
|
|
|
241 |
|
00:21:07,580 --> 00:21:13,280 |
|
كتير just consider this case خدوا هال مثال البسيط |
|
|
|
242 |
|
00:21:14,890 --> 00:21:17,390 |
|
لو احنا if we think to invest in a particular |
|
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|
243 |
|
00:21:17,390 --> 00:21:22,210 |
|
stock for the next year طبعا لما نحكي next year |
|
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|
244 |
|
00:21:22,210 --> 00:21:26,310 |
|
نحكي for the future and you given this information |
|
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|
245 |
|
00:21:26,310 --> 00:21:34,350 |
|
و أعطيناكوا هالمعلومات هذه the expected R and the |
|
|
|
246 |
|
00:21:34,350 --> 00:21:39,670 |
|
probability the probability of R to occur يعني |
|
|
|
247 |
|
00:21:39,670 --> 00:21:40,830 |
|
احتمال R انه تحدث |
|
|
|
248 |
|
00:21:44,280 --> 00:21:51,840 |
|
Okay بحط P probability YR for instance 40% we have |
|
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249 |
|
00:21:51,840 --> 00:21:55,920 |
|
40% and |
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|
250 |
|
00:21:55,920 --> 00:21:59,320 |
|
30 |
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|
251 |
|
00:21:59,320 --> 00:22:09,380 |
|
% 30% او خليني نسهلهم هان اربعين ناخد خمسة و عشرين |
|
|
|
252 |
|
00:22:09,380 --> 00:22:15,820 |
|
بيصير عندنا خمسة و ستين و بيبقى خمسة و تلاتينOkay |
|
|
|
253 |
|
00:22:15,820 --> 00:22:20,840 |
|
لازم يكون هدول مجموعهم مقداش؟ مية في المية okay |
|
|
|
254 |
|
00:22:20,840 --> 00:22:26,520 |
|
one hundred percent او واحد صحيح okay when the |
|
|
|
255 |
|
00:22:26,520 --> 00:22:31,060 |
|
probability forty percent the r we expect are ten |
|
|
|
256 |
|
00:22:31,060 --> 00:22:35,420 |
|
percent twenty five we expect seven percent and |
|
|
|
257 |
|
00:22:35,420 --> 00:22:37,000 |
|
here we expect four percent |
|
|
|
258 |
|
00:22:40,440 --> 00:22:45,220 |
|
القروش هو بيحكي expectation of R is equal to |
|
|
|
259 |
|
00:22:45,220 --> 00:22:52,900 |
|
summation of VI times RI مش مشكلة لو في كتب تستخدم |
|
|
|
260 |
|
00:22:52,900 --> 00:22:57,960 |
|
I في تستخدم S يعني بيه S or بيه I is the same يعني |
|
|
|
261 |
|
00:22:57,960 --> 00:23:06,200 |
|
احتمال في ال return طيب بنشوف ال B times ال R |
|
|
|
262 |
|
00:23:06,200 --> 00:23:07,600 |
|
احتمال |
|
|
|
263 |
|
00:23:09,420 --> 00:23:19,160 |
|
0.10×0.40 0.047×0.25 0.07×0 |
|
|
|
264 |
|
00:23:19,160 --> 00:23:24,320 |
|
.25 0 |
|
|
|
265 |
|
00:23:24,320 --> 00:23:31,880 |
|
.0175 |
|
|
|
266 |
|
00:23:31,880 --> 00:23:35,320 |
|
0.0175 |
|
|
|
267 |
|
00:23:41,460 --> 00:23:50,220 |
|
.014 طب summation اجمعهم مع بعض 0 |
|
|
|
268 |
|
00:23:50,220 --> 00:23:53,640 |
|
.0715 |
|
|
|
269 |
|
00:23:53,640 --> 00:23:59,600 |
|
يعني بتطلع الجوال اللي هو 7.15% إذا ال expected R |
|
|
|
270 |
|
00:23:59,600 --> 00:24:07,020 |
|
is equal to 7.15% طبعا البنات اللي معاهم ال |
|
|
|
271 |
|
00:24:07,020 --> 00:24:12,540 |
|
calculators يتأكدوا من ال ..من ال results طبعا و |
|
|
|
272 |
|
00:24:12,540 --> 00:24:14,520 |
|
البنات اللي معاهم مش calculator لما يرجعوا البيت |
|
|
|
273 |
|
00:24:14,520 --> 00:24:17,800 |
|
يتأكدوا من ال results لأنها سؤال جاي في الامتحانة |
|
|
|
274 |
|
00:24:17,800 --> 00:24:23,120 |
|
I know this is simple but when you go to exam |
|
|
|
275 |
|
00:24:23,120 --> 00:24:29,180 |
|
things بصير أشي صعب so the expected return this is |
|
|
|
276 |
|
00:24:29,180 --> 00:24:31,840 |
|
the expected return so far we talk about the |
|
|
|
277 |
|
00:24:31,840 --> 00:24:38,580 |
|
expected return and we don't talk about the risk |
|
|
|
278 |
|
00:24:41,280 --> 00:24:45,900 |
|
ماحكناش؟ عن المخاطر what is risk؟ مين بيقوللي إيش |
|
|
|
279 |
|
00:24:45,900 --> 00:24:51,240 |
|
ال risk؟ حكيناها في chapter one و chapter two what |
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|
|
280 |
|
00:24:51,240 --> 00:24:57,460 |
|
is risk؟ إيش ال risk؟ شو المخاطر؟ what .. what is |
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281 |
|
00:24:57,460 --> 00:25:04,560 |
|
the risk in investment؟ شو المخاطر؟ what is risk؟ |
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282 |
|
00:25:04,560 --> 00:25:07,720 |
|
و احنا قاعدين نحكي risk و risk و هذا و مخاطر و من |
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283 |
|
00:25:07,720 --> 00:25:19,900 |
|
السنة الفاتة اهبس انخفاض الاسعار هذه المخاطر ايوة |
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284 |
|
00:25:19,900 --> 00:25:23,740 |
|
هي اهم اشي is uncertainty ال risk هي is |
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285 |
|
00:25:23,740 --> 00:25:29,180 |
|
uncertainty to get the expected rate of return لان |
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286 |
|
00:25:29,180 --> 00:25:37,040 |
|
احنا مش متأكدين انه هيحدث ال return ولا لأ طيبلو |
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287 |
|
00:25:37,040 --> 00:25:39,840 |
|
جينا احنا from the .. from the charge point of |
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288 |
|
00:25:39,840 --> 00:25:49,120 |
|
view طلعوا ايش ال risk طلعوا |
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289 |
|
00:25:49,120 --> 00:25:54,340 |
|
على ال .. |
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290 |
|
00:25:54,340 --> 00:26:01,640 |
|
طلعوا هم لو جينا احنا أخدنا الخط هذا و احنا اليوم |
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291 |
|
00:26:01,640 --> 00:26:07,040 |
|
كام التاريخ اليوم اتنين و عشرينلو قلناكوا بتقدروا |
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292 |
|
00:26:07,040 --> 00:26:15,460 |
|
تتنبأوا ال 23 ايش هيكون السعر؟ ممكن تتنبأوا ولا مش |
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293 |
|
00:26:15,460 --> 00:26:20,060 |
|
ممكن؟ طلعوا على الخط المستقيم مين بيقدر يقولي 23 |
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294 |
|
00:26:20,060 --> 00:26:28,840 |
|
وين احتمال يكون السعر؟ فحط خط عليه، شوف الخط يعني، |
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295 |
|
00:26:28,840 --> 00:26:37,180 |
|
بالظبط، ليش؟ لأن هنا ال uncertaintyit's very low |
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296 |
|
00:26:37,180 --> 00:26:40,460 |
|
ال uncertainty يعني احتمال عدم التأكد منخفضة يعني |
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297 |
|
00:26:40,460 --> 00:26:46,000 |
|
خاطر منخفضة طيب احفظتوا هذا الرسمة ناخد رسمة اخرى |
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298 |
|
00:26:46,000 --> 00:26:52,520 |
|
اذا هنا التأكد منخفض ترجع |
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299 |
|
00:26:52,520 --> 00:26:56,080 |
|
يا ميا لل videos طيب |
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300 |
|
00:27:05,470 --> 00:27:12,030 |
|
طيب احنا هلا ب 22 okay 22 مين |
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301 |
|
00:27:12,030 --> 00:27:18,130 |
|
بيقدر يعمل ليه؟ هي موجودة |
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302 |
|
00:27:18,130 --> 00:27:23,650 |
|
هيك okay إيش رأيك؟ بتأكد يعني؟ بس لما فات ما طلعت |
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303 |
|
00:27:23,650 --> 00:27:26,990 |
|
كانت احتمال تأكد عالي صح؟ بس هلجيت إيش رأيك؟ تعالي |
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304 |
|
00:27:26,990 --> 00:27:31,430 |
|
أعطيني ال possible وارجيني أشوف عشان نعرف what it |
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305 |
|
00:27:31,430 --> 00:27:32,370 |
|
means uncertainty |
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306 |
|
00:27:35,590 --> 00:27:40,790 |
|
متأكدة؟ لأ طب اخدت ال option التاني option التاني |
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307 |
|
00:27:40,790 --> 00:27:46,530 |
|
ايوة يعني فيه انا خليني احتمالاتي اعمل مقاطع مقاطع |
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308 |
|
00:27:46,530 --> 00:27:52,910 |
|
اعمل مقاطع على دي لأ مقاطع تاني واضح ايوة اذا فيه |
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309 |
|
00:27:52,910 --> 00:27:56,770 |
|
انا احتمالين شوفوا في احتمالين the return is going |
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310 |
|
00:27:56,770 --> 00:28:02,060 |
|
up or the return is going downإذا ال uncertainty |
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311 |
|
00:28:02,060 --> 00:28:07,440 |
|
هان يا بنات ال uncertainty comparing with the |
|
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312 |
|
00:28:07,440 --> 00:28:13,140 |
|
previous chart is lower or higher is higher just |
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313 |
|
00:28:13,140 --> 00:28:16,220 |
|
depict this احفظوا الرسمة هالي خلينا ناخد رسمة |
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314 |
|
00:28:16,220 --> 00:28:23,440 |
|
أخرى ليه يا شماي رسمتي ايه هى هى هى |
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315 |
|
00:28:30,130 --> 00:28:36,350 |
|
مش سامع جولة انا يوم اتنين و عشرين اللي هو اليوم |
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316 |
|
00:28:36,350 --> 00:28:39,470 |
|
لنا نعمل expectations لبكرا ل tomorrow اللي هو |
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317 |
|
00:28:39,470 --> 00:28:43,530 |
|
تلاتة و عشرين فتلاتة و عشرين مش عارفين يعني هي حسب |
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318 |
|
00:28:43,530 --> 00:28:50,150 |
|
ما حكت أسماء أسماء حمدية حسب ما حكت كانت احتمال |
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319 |
|
00:28:50,150 --> 00:28:55,570 |
|
انه to go up or to go down مظبوط فمش متأكد لكن لما |
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320 |
|
00:28:55,570 --> 00:28:59,190 |
|
طلعت فأنت ما حكت انه with a certainو .. و the |
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321 |
|
00:28:59,190 --> 00:29:03,010 |
|
certain level احتمالات او احتمالات التأكد كانت |
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322 |
|
00:29:03,010 --> 00:29:09,830 |
|
اعلى تمام؟ okay ناخد |
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323 |
|
00:29:09,830 --> 00:29:13,330 |
|
مثال اخر ايش رأيكم؟ |
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324 |
|
00:29:27,410 --> 00:29:34,090 |
|
طيب بدنا نهلة إيه إيش رأيك؟ فوق؟ طيب؟ اعمل .. اعمل |
|
|
|
325 |
|
00:29:34,090 --> 00:29:37,530 |
|
.. اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. |
|
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326 |
|
00:29:37,530 --> 00:29:37,550 |
|
اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. |
|
|
|
327 |
|
00:29:37,550 --> 00:29:38,330 |
|
اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. |
|
|
|
328 |
|
00:29:38,330 --> 00:29:38,950 |
|
اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. |
|
|
|
329 |
|
00:29:38,950 --> 00:29:47,630 |
|
اعمل .. اعمل .. اعمل .. اعمل .. اعمل .. |
|
|
|
330 |
|
00:29:47,630 --> 00:29:56,690 |
|
اعم |
|
|
|
331 |
|
00:29:57,540 --> 00:30:02,600 |
|
يعني لو احنا شوفنا التشارت الأول خلينا to .. to |
|
|
|
332 |
|
00:30:02,600 --> 00:30:05,360 |
|
get the pictures back .. to get the pictures back |
|
|
|
333 |
|
00:30:05,360 --> 00:30:08,600 |
|
ايش يعني to get the pictures back؟ خلينا نراجع |
|
|
|
334 |
|
00:30:08,600 --> 00:30:12,140 |
|
الصور التلاتة اللي احنا .. نحطهم هيك قدامها مع بعض |
|
|
|
335 |
|
00:30:12,140 --> 00:30:15,260 |
|
and to compare between the .. شوف |
|
|
|
336 |
|
00:30:24,960 --> 00:30:30,480 |
|
طبعا الصورة الأولى هي هذه الصورة الأولى احمد |
|
|
|
337 |
|
00:30:30,480 --> 00:30:34,980 |
|
التكييف عالي كتير خلاص switch it off اطفيه اطفيه |
|
|
|
338 |
|
00:30:34,980 --> 00:30:38,620 |
|
خلاص |
|
|
|
339 |
|
00:30:38,620 --> 00:30:48,420 |
|
طبعا |
|
|
|
340 |
|
00:30:48,420 --> 00:30:50,840 |
|
خلينا together picture back |
|
|
|
341 |
|
00:30:53,920 --> 00:31:00,840 |
|
أخدنا هذه و قولنا الاحتمال تأكد في هنا high |
|
|
|
342 |
|
00:31:00,840 --> 00:31:06,100 |
|
certainty تأكد |
|
|
|
343 |
|
00:31:06,100 --> 00:31:12,080 |
|
عالي في هنا moderate certainty و هنا high |
|
|
|
344 |
|
00:31:12,080 --> 00:31:21,410 |
|
uncertainty او بيسموها low certainty okay طيبhow |
|
|
|
345 |
|
00:31:21,410 --> 00:31:24,690 |
|
we measure this طب كيف احنا احنا الرسمة هيك okay |
|
|
|
346 |
|
00:31:24,690 --> 00:31:29,910 |
|
بس لكن كيف بدنا نقيسها هذا المعادل نقيس ال |
|
|
|
347 |
|
00:31:29,910 --> 00:31:33,570 |
|
expectations return نقيس ال expectations return |
|
|
|
348 |
|
00:31:33,570 --> 00:31:39,810 |
|
مابتقسش ال sigma طيب طالع علينا طب احنا لو حسبنا |
|
|
|
349 |
|
00:31:39,810 --> 00:31:44,970 |
|
ال average تبع هذا و بدنا نشوفأيش بيصير ال |
|
|
|
350 |
|
00:31:44,970 --> 00:31:48,830 |
|
deviation؟ ال deviation يعني النقاط خارج ال |
|
|
|
351 |
|
00:31:48,830 --> 00:31:53,310 |
|
average مافيش نقاط zero إذا هل ال uncertainty سو |
|
|
|
352 |
|
00:31:53,310 --> 00:31:59,890 |
|
سفر؟ يعني ال certainty سو one hundred percent طيب |
|
|
|
353 |
|
00:31:59,890 --> 00:32:03,390 |
|
خلينا ناخد ال average تبع هذا الخط ال average هذا |
|
|
|
354 |
|
00:32:03,390 --> 00:32:08,880 |
|
هو ال average تبع الخط الأزرقهذا ال average بنشوف |
|
|
|
355 |
|
00:32:08,880 --> 00:32:11,620 |
|
احنا فيه قيم تحت ال average و فيه قيم أعلى من ال |
|
|
|
356 |
|
00:32:11,620 --> 00:32:15,820 |
|
average هذا ال average هو ال certainty هو المؤكد و |
|
|
|
357 |
|
00:32:15,820 --> 00:32:23,960 |
|
هدوله قيم أعلى و أقل الفرج الفرج بين الفرج hand |
|
|
|
358 |
|
00:32:23,960 --> 00:32:32,560 |
|
شوفوا بنحسب الفرق قدر كده؟ كل ما بكون الفرج كبير |
|
|
|
359 |
|
00:32:32,560 --> 00:32:38,900 |
|
كل ما كان فيه risk أعلىطبعا فكيف بنقيسه هذا بنقيسه |
|
|
|
360 |
|
00:32:38,900 --> 00:32:42,760 |
|
ب sigma standard |
|
|
|
361 |
|
00:32:42,760 --> 00:32:45,200 |
|
or standard deviation او بنقيسه ب standard |
|
|
|
362 |
|
00:32:45,200 --> 00:32:54,340 |
|
deviation طب خينا ناخد هذا ناخد هذا اخدنا ال |
|
|
|
363 |
|
00:32:54,340 --> 00:32:58,840 |
|
average زيهم اخدنا ال average طب ال average زي ما |
|
|
|
364 |
|
00:32:58,840 --> 00:33:06,250 |
|
حكينا هو الفرقبين القيم كم تبعد عن ال average يعني |
|
|
|
365 |
|
00:33:06,250 --> 00:33:09,870 |
|
القيم كم تبعد عن ال average هذا هو بتلاحظوا |
|
|
|
366 |
|
00:33:09,870 --> 00:33:13,890 |
|
المسافة هذه قارنوها مع المسافة هذه أكبر ولا أكبر |
|
|
|
367 |
|
00:33:13,890 --> 00:33:20,290 |
|
إذا ال uncertainty أعلى إذا ال sigma هتكون أعلى ال |
|
|
|
368 |
|
00:33:20,290 --> 00:33:24,630 |
|
sigma إذا بتقارنه sigma بين هان و sigma هان كل |
|
|
|
369 |
|
00:33:24,630 --> 00:33:29,490 |
|
النقاط على الخط هان صفر طب sigma هان نفترض تكون |
|
|
|
370 |
|
00:33:29,490 --> 00:33:37,620 |
|
مثلا 6%ال sigma هتكون أعلى من 6% فإذا كل ما احنا |
|
|
|
371 |
|
00:33:37,620 --> 00:33:41,480 |
|
ال fluctuation هذا fluctuation ايش اسمه |
|
|
|
372 |
|
00:33:41,480 --> 00:33:48,160 |
|
fluctuation okay fluctuation هذا التذبذب كل ما |
|
|
|
373 |
|
00:33:48,160 --> 00:33:53,860 |
|
بيزيد شوفته تخطيط القلب كل ما بيصير احنا بنعرف انه |
|
|
|
374 |
|
00:33:53,860 --> 00:33:59,100 |
|
ضربات القلب كل ما بتكون غير منتظمةبكون في .. فششي |
|
|
|
375 |
|
00:33:59,100 --> 00:34:03,840 |
|
monotic فششي انتظام بدربات القلب فهذا بيكون المريض |
|
|
|
376 |
|
00:34:03,840 --> 00:34:08,940 |
|
في خطر okay we don't know فإذا كان الوضع بهذا |
|
|
|
377 |
|
00:34:08,940 --> 00:34:15,980 |
|
الشكل هذا بيكون هذا في خطر لكن إذا كان الوضع طبيعي |
|
|
|
378 |
|
00:34:15,980 --> 00:34:22,560 |
|
مثلا مثل هك ف okay هذا طبيعي يعني في ..انتظام في |
|
|
|
379 |
|
00:34:22,560 --> 00:34:27,320 |
|
ضربات القلب بس ملاحظها ان مافيش انتظام في risk |
|
|
|
380 |
|
00:34:27,320 --> 00:34:32,660 |
|
عالي جدا فكل ما بتعدد القيم شوفوا القيم كده بعيدة |
|
|
|
381 |
|
00:34:32,660 --> 00:34:36,980 |
|
عن ال average على المتوسط كل ما القيم بعددت على |
|
|
|
382 |
|
00:34:36,980 --> 00:34:42,580 |
|
المتوسط كل ما ال sigma كبرت كل ما زادت المخاطر how |
|
|
|
383 |
|
00:34:42,580 --> 00:34:45,820 |
|
we calculate sigma كيف احنا ممكن نحسب ال sigma |
|
|
|
384 |
|
00:34:45,820 --> 00:34:54,610 |
|
ببساطة ال sigmaسيجما تربيع is اللي هو فاكري ان ال |
|
|
|
385 |
|
00:34:54,610 --> 00:35:06,050 |
|
R minus R R minus expectation of R ال B I مجموعة |
|
|
|
386 |
|
00:35:06,050 --> 00:35:14,130 |
|
مجموعة ال B I times R minus expectation of R هذا |
|
|
|
387 |
|
00:35:14,130 --> 00:35:19,620 |
|
هو السيجما تربيع طبعا سوري هنا power twoهو اتنين |
|
|
|
388 |
|
00:35:19,620 --> 00:35:23,300 |
|
أخدتوه هذا بال statistics بالإحصاء .. بإحصاء |
|
|
|
389 |
|
00:35:23,300 --> 00:35:27,720 |
|
أخدتوه بالرياضيات التجاريين أخدتوه في financial |
|
|
|
390 |
|
00:35:27,720 --> 00:35:31,020 |
|
management okay فإن شاء الله next meeting انا |
|
|
|
391 |
|
00:35:31,020 --> 00:35:37,160 |
|
أحاول أعملكم سؤال عليه نحله كله مع بعض okay فهذا |
|
|
|
392 |
|
00:35:37,160 --> 00:35:45,240 |
|
.. هاي معطيكوا لي فعل هان طلعوا هان ال probability |
|
|
|
393 |
|
00:35:46,880 --> 00:35:51,520 |
|
نفس المعادلة اللي اعطيتك إياها نحسب ال ER حسبتلك |
|
|
|
394 |
|
00:35:51,520 --> 00:35:55,380 |
|
إياها بالمثال السابق okay بتطلع هذا الجواب هل لما |
|
|
|
395 |
|
00:35:55,380 --> 00:35:58,440 |
|
نحسب ال sigma تربيع نفس المعادلة اللي اعطيتك إياها |
|
|
|
396 |
|
00:35:58,440 --> 00:36:03,880 |
|
okay ال standard deviation هو شوفتوا احنا بنستخدم |
|
|
|
397 |
|
00:36:03,880 --> 00:36:05,600 |
|
ال sigma or standard deviation |
|
|
|
398 |
|
00:36:09,430 --> 00:36:14,650 |
|
نعيد نفس المثال و بنروح ال probability R minus I |
|
|
|
399 |
|
00:36:14,650 --> 00:36:18,270 |
|
بترجعوه في البيت و بتشوفوا انتوا كيف الوضع طلع |
|
|
|
400 |
|
00:36:18,270 --> 00:36:24,510 |
|
معاكم وصلنا لعند number 22 في حد عندك سؤال يا |
|
|
|
401 |
|
00:36:24,510 --> 00:36:24,950 |
|
بنات؟ |
|
|
|
|