What exactly is a “derivative”?
The basic idea behind a derivative is very simple actually.  It is a contract where the final value depends on (is derived from) the value of something else.  Stock, for instance, is not a derivative because the contract itself is actually ownership of part of a company.  Whereas car insurance is a derivative because the payout depends on the value of something else namely your (and other peoples') cars. The problem with such a simple definition is that it covers such a broad class.  It covers simple contracts like Futures where the end value just depends on the price of something on a future date.  But it extends to contracts complicated enough that people in finance call them Exotics. Derivatives are broadly used for two things reducing risk (sometimes called insurance) and speculation.  A farmer can use derivatives to make sure she gets paid a certain amount for her corn.  A banker can group a bunch of loans together and sell slices to reduce the pain of a particular loan failing.  At the same time people can use the same instruments to speculate on the price of (for example) that corn or those loans and the main advantage is that they don't have to buy the corn or loans directly.  Any farmer will tell you corn can be very expensive to store. Derivatives generally cause problems both individually and sometimes world wide when people don't properly understand the risks involved.  The most famous example being Mortgage-backed Securities and the recent Great Recession.  You can start understand the instruments and their risks by this wonderful Wikipedia article and later perhaps a used collection of CFA books which cover derivatives in great detail. Edit: Michael Grünewald mentioned Hull's text on derivatives a wonderful middle ground between Wikipedia and the CFA books that I can't believe I didn't think about myself. A derivative is a financial instrument of a special kind, the kind “whose price depends on, or is derived from, another asset”.  This definition is from John Hull, Options, Futures and Other Derivatives – a book definitely worth to own if you are curious about this, you can easily find old copies for a few dollars. The first point is that a derivative is a financial instrument, like credits, or insurances, the second point is that its price depends closely from the price of something else, the mentioned asset. In most cases derivatives can be understood as financial insurances against some risk bound to the asset. In the sequel I give a small list of derivatives and highlight the assets and the risk they can be bound to.  And first, let me point out that the definition is (marginally) wrong because some derivatives depend on things which are not assets, nor do they have a price, like temperature, sunlight, or even your own life in the case of mortgages.  But before going in this list, let me go through the remaining points of your question. What is the basic idea and concept behind a derivative? As already noted, in most cases, a derivative can be understood as a financial insurance compensating from a risk of some sort.  In a classical insurance contract, one party of the contract is an insurance company, but in the broader case of a derivative, that counterparty can be pretty anything: an insurance, a bank, a government, a large company, and most probably market makers. How is it really used, and how does this deviate from the first point? Briefly, how does is it affecting people, and how is it causing problems? An important point with derivatives is that it can be arbitrarily complicated to compute their prices.  Actually what is hidden in the attempt of giving a definition for derivatives, is that they are products whose price Y is a measurable function of one or several random variables X_1, X_2, … X_n on which we can use the theory of arbitrage pricing to get hints on the actual price Y of the asset – this is what the depends on means in technical terms.  In the most favorable case, we obtain an easy formula linking Y to the X_is which tells us what is the price of our financial instrument. But in practice, it can be very difficult, if at all possible, to determine a price for derivatives. This has two implications: Persons possessing sophisticated techniques to compute the price of derivatives have a strategic advantage on derivatives market, in comparison to less advanced actors on the market. Organisation owning assets they cannot price cannot compute their bilan anymore, so that they cannot know for sure their financial situation. They are somehow playing roulette. But wait, if derivatives are insurances they should help to mitigate some financial risk, which precisely means that they should help their owners to more accurately see their financial situation! How is this not a contradiction? Some persons with sophisticated techniques to compute the price of derivatives are actually selling complicated derivatives to less knowledgeable persons.  For instance, many communes in France and Germany have contracted credits whose reimbursements have a fixed interest part, like in a classical credit, and a variable interest part whose rate is computed against a complicated formula involving the value of the Swiss frank at each quarter starting from the inception of the credit.  (So, for a 25 years running credit of theis type, the price Y of the credit at its inception depends on 100 Xs, which are the uncertain prices for the Swiss frank each quarter of the 25 next years.)  Some of these communes can be quite small, with 5.000 inhabitants, and needless to say, do not have the required expertise to analyse the risks bound to such instruments, which in that special case led the court call the credit a swindling and to cancel the credit.  But what chain of events leads a 5.000 inhabitants city in France to own a credit whose reimbursements depends on the Swiss frank?  After the credit crunch in 2007 and the fall of Lehman Brothers in 2008, it has begun to be very hard to organise funding, which basically means to conclude credits running long in time on large amounts of money.  So, the municipality needs a 25 years credit of 10.000.000 EUROS and goes to its communal bank.  The communal bank has hundreds or thousands of municipalities looking for credits and needs itself a financing.  So the communal bank goes to one of the five largest financial institutions in the world, which insists on selling a huge credit whose reimbursements have a variable part depending on hundred of values the Swiss frank will have in the 25 next years. Since the the big bank has better computation techniques than the small bank it makes a big profit.  Since the small bank has no idea, how to compute the correct price of the credit it bought, it cuts this in pieces and sell it in the same form to the various communes it works with.  If we were to attribute this kind of intentions to the largest five banks, we could ask about the possibility that they designed the credit to take advantage of the primitive evaluation methods of the small bank. We could also ask if they organised a cartel to force communal banks to buy their bermudean snowballs. And we could also ask, if they are so influent that they eventually can manipulate the Swiss frank to secure an even higher profit.  But I will not go into this.  To the best of my understanding, the subprime crisis is a play along the same plot, with different actors, but I know this latter subject only by what I could read in French newspapers. So much for the “How is it causing problems?” part. What is some of the terminology in relation to derivatives (and   there meanings of course)? Answering this question is basically the purpose of the 7 first chapters of the book by Hull, along with deriving some important mathematical principles.  And I will not copy these seven chapters here! How would someone get started dealing in derivatives (I'm playing a     realistic stock market simulation, so it doesn't matter if your     answer to this costs me money)? If you ask the question, I understand that you are not a professional, so that your are actually trying to become the one that has money and zero knowledge in the play I outlined above. I would recommand not doing this.  That said, if you have a good mathematical background and can program well, once you are confindent with the books of Hull and Joshi, you can have fun implementing various market models and implementing trading strategies. Once you are confident with this, you can also read the articles on quantitative finance on arXiv.org. And once you are done with this, you can decide for yourself if you want to play the same market as the guys writing these articles. (And yes, even for the simplest options, they have better models than you have and will systematically outperform you in the long run, even if some random successes will give you the feeling that you do well and could do better.) (indeed, I've made it a personal goal to somehow lose every last cent of my money) You know your weapons! :) Two parties agree today on a price for one to deliver a commodity to the other at some future instant.  This is a classical future contract, it can be modified in every imaginable way, usually by embedding options.  For instance one party could have the option to choose between different delivery points or delivery days. Two parties write today a contract allowing the one party to buy at some future time a commodity to the the second party.  The price is written today, as part of the contract.  (There is the corresponding option entitling the owner to sell something.)  Unlike the future contract, only one party can be obliged to do something, the other jas a right but no obligation. If you buy and option, your are buying some sort of insurance against a change of price on some asset. This is the most familiar to anybody.  Credits can come in many different flavours, especially the formula to compute interests, or also embed options.  Common options are early settlement options or restructuration options. While this is not completely inutitive, the credit works like an insurance.  This is most easily understood from the side of the organisation lending the money, that speculates that the ratio of creanciers going bankrupt will be low enough for her to make profit, just like a fire insurance company speculates that the ratio of fire accidents will be low enough for her to make a profit. This is like a mortgage on a financial institution.  Two parties agree that one will recive an upfront today and give a compensation to the second one if some third party defaults. Here this is an explicit insurance against the unfortuante event, where a creancier goes bankrupt. One finds here more or less standard options on electricity. But electricity have delicious particularities as it can practically not be stored, and fallout is also (usually) avoided. As for classical options, these are insurances against price moves. A swap is like two complementary credits on the same amount of money, so that it ends up in the two parties not actually exchanging the credit nominal and only paying interest one to the other — which makes only sense if these interests are computed with different formulas. Typical example are fixed rate vs. EURIBOR on some given maturity, which we interpret as an insurance against fluctuations of the EURIBOR, or a fixed rate vs. the exchange ratio between two currencies, which we interpret as an insurance against the two currencies decorrelating. Swaps are the richest and the most generic category of financial derivatives.  The off-the-counter market features very imaginative, very customised insurance products. The most basic form is the insurance against drought, but you can image different dangers, and once you have it you can put it in options, in a swap, etc.  For instance, a restaurant with a terrasse could enter in a weather insurance, paying each year a fixed amount of money and becoming in return an amount of money based on the amount of rainy day in a year. Actually, this list is virtually without limits! A derivative in finance is simply any asset whose value is based on the value of another asset or based on the value of a group of assets. A derivative contract is a type of contract (usually a 'standardized contract') with specific payout instruction based on the price changes of a different asset. The basic idea is that it becomes easier to make a claim to an asset or property (and profit from this claim), without needing to physically transfer it (or even the title to said asset), and use much less capital to do so (reduce risk). They become problematic when multiple people may have claims to the real asset, or when the value of the derivatives changes very quickly or are hard to calculate. There are also liquidity problems the further you get from the real asset. This is not a problem for all kinds of derivatives contracts. And you must recognize that derivatives are used colloquially in a way that has nothing to do with reality to cause fear in people/investors that are not financially savvy. Many derivatives also have dubious or no economic purposes such that regulators don't allow them to be traded since they can't see how it is different from gambling. This is seen in financial markets that are less liberalized or cultures with puritanical backgrounds. Typically the trick is to convince regulators that the derivative or financial product helps with reducing risk and hedging and it will get approved. I've mentioned some terminology, but this depends specifically on what kind of derivatives contract you become interested in. Swaps, Credit Default Swaps, Futures, Options, Options on Futures, Leveraged Exchange Traded Funds, Inverse Leveraged Exchange Traded Funds, warrants, and more all have their own terminology. How to trade them in a simulation? It all depends on which financial product you really become interested in. There are a few unsavory factors that have led to the creation of new derivatives:
This is your best answer so far. A detail left out is that derivatives are mostly known for the amount of leverage allowed, which is typically about 20-1, or 5% down. This is legal because it's generally assumed that someone is not going to buy or sell the underlying asset, that they will offset their long or short position long before the contract's delivery date. Your derivative broker(typically futures instead of forwards, because they're a standardized size, traded on an exchange and more liquid) will call you when you lose about half of your 5% to tell you to either transfer some money to cover your position or to ask you to exit your position at a loss.  Fowards are traded through clearinghouses, not exchanges, and they can be for any underlying asset, for any delivery date, for any price, so long as parties agree on it. Just think of it as a contract. I cannot explain how the derivative is created in specific, because I have never actually built one. However, [Investopedia](http://www.investopedia.com/terms/m/mitts.asp#axzz1wwZTADu5) suggests to me that the concept is quite simple. They are selling a synthetic protective put.   An individual could quite easily remake the payout structure of these securities -  1. Buy the share or index in which you are interested 2. Buy a put option on the same asset with a strike price as your purchase price 3. If you are interested in the target-term aspect, you ought to buy European puts. American options will be more expensive, but give you more flexibility to sell your share. 4. At the maturity of your option, if the share is below the price you paid you can exercise your option and still have your principal. If it is above, leave your option alone and sell your share for profit. "The VIX is a mathematical aggregate of the implied volatilities of the S&P 500 Index components. It itself cannot be traded as there currently is no way to only hold a position on an implied volatility alone.  Implied volatility can only currently be derived from an option relative to its underlying.  Further, the S&P 500 index itself cannot be traded only the attempts to replicate it.  For assets that are not tradable, derivatives can be ""cash settled"" where the value of the underlying is delivered in cash.  Cash settlement can be used for underlyings that in fact due trade but are frequently only elected if the underlying is costly to deliver or there is an incentive to circumvent regulation. Currently, only futures that settle on the value of the VIX at the time of delivery trade; in other words, VIX futures holders must deliver on the value of the VIX in cash upon settlement.  Options in turn trade on those futures and in turn are also cash settled on the value of the underlying future at expiration. The VXX ETF holds one to two month VIX futures that it trades out of before delivery, so while it is impossible to know exactly what is held in the VXX accounts unless if one had information from an insider or the VXX published such details, one can assume that it holds VIX futures contracts no later than two settlements from the preset.  It should be noted that the VXX does not track the VIX over the long run because of the cost to roll the futures and that the futures are more stable than the VIX, so it is a poor substitute for the VIX over time periods longer than one day. ""Underlying"" now implies any abstract from which a financial product derives its value." "**Modern portfolio theory**  Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk, defined as variance. Its key insight is that an asset's risk and return should not be assessed by itself, but by how it contributes to a portfolio's overall risk and return.  Economist Harry Markowitz introduced MPT in a 1952 essay, for which he was later awarded a Nobel Prize in economics.  ***  **Option (finance)**  In finance, an option is a contract which gives the buyer (the owner or holder of the option) the right, but not the obligation, to buy or sell an underlying asset or instrument at a specific strike price on a specified date, depending on the form of the option. The strike price may be set by reference to the spot price (market price) of the underlying security or commodity on the day an option is taken out, or it may be fixed at a discount in a premium. The seller has the corresponding obligation to fulfill the transaction—to sell or buy—if the buyer (owner) ""exercises"" the option. An option that conveys to the owner the right to buy at a specific price is referred to as a call; an option that conveys the right of the owner to sell at a specific price is referred to as a put.  ***  ^[ [^PM](https://www.reddit.com/message/compose?to=kittens_from_space) ^| [^Exclude ^me](https://reddit.com/message/compose?to=WikiTextBot&amp;message=Excludeme&amp;subject=Excludeme) ^| [^Exclude ^from ^subreddit](https://np.reddit.com/r/finance/about/banned) ^| [^FAQ ^/ ^Information](https://np.reddit.com/r/WikiTextBot/wiki/index) ^| [^Source](https://github.com/kittenswolf/WikiTextBot)   ^] ^Downvote ^to ^remove ^| ^v0.27" Futures contracts are a member of a larger class of financial assets called derivatives. Derivatives are called such because their payoffs depend on the price of other assets (financial or real). Other kinds of derivatives are call options, put options. Fixed income assets that mimic the behavior of derivatives are callable bonds, puttable bonds etc.  A futures contract is a contract that specifies the following: Just like with any other contract, there are two parties involved. One party commits to delivering the underlying asset to the other party on expiration date in exchange for the futures price. The other party commits to paying the futures price in exchange for the asset. There is no price that any of the two parties pay upfront to engage in the contract. The language used is so that the agent committing to receiving the delivery of the underlying asset is said to have bought the contract. The agent that commits to make the delivery is said to have sold the contract.  So answer your question, buying on June 1 a futures contract at the futures price of $100, with a maturity date on August 1 means you commit to paying $100 for the underlying asset on August 1. You don't have to pay anything upfront. Futures price is simply what the contract prescribes the underlying asset will exchange hands for. Can someone recommend a textbook (or other resource) that provides a rigorous introduction to finance for someone with a mathematical background? Ideally, something that provides both a theoretical background for the pricing of assets generally and moves to mores specific instruments with quantitative exercises along the way? Intuitive? I doubt it. Derivatives are not the simplest thing to understand.  The price is either in the money or it isn't. (by the way, exactly 'at the money' is not 'in the money.') An option that's not in the money has time value only. As the price rises, and the option is more and more in the money, the time value drops. We have a $40 stock. It makes sense to me that a $40 strike price is all just a bet the stock will rise, there's no intrinsic value. The option prices at about $4.00 for one year out, with 25% volatility. But the strike of $30 is at $10.68, with $10 in the money and only .68 in time premium. There's a great calculator on line to tinker with.  Volatility is a key component of options trading. Think about it. If a stock rises 5%/yr but rarely goes up any more or less, just steady up, why would you even buy an option that was even 10% out of the money? The only way I can describe this is to look at a bell curve and how there's a 1/6 chance the event will be above one standard deviation. If that standard deviation is small, the chance of hitting the higher strikes is also small.  I wrote an article Betting on Apple at 9 to 2 in which I describe how a pair of option trades was set up so that a 35% rise in Apple stock would return 354% and Apple had two years to reach its target. I offer this as an example of options trading not being theory, but something that many are engaged in. What I found curious about the trade was that Apple's volatility was high enough that a 35% move didn't seem like the 4.5 to 1 risk the market said it was. As of today, Apple needs to rise 13% in the next 10 months for the trade to pay off. (Disclosure - the long time to expiration was both good and bad, two years to recover 35% seemed reasonable, but 2 years could bring anything in the macro sense. Another recession, some worldwide event that would impact Apple's market, etc. The average investor will not have the patience for these long term option trades.) The product itself is a derivative as it derives its value from another stock or commodity.  It's similar to a US option, which offers (in the case of a 'call') the right, but not the obligation to buy a stock at a predetermined price before a certain date. But, unlike the US option, instead of buying the stock, the contract is only closed out in cash. I've made the analogy to betting, so I believe it to be a fair comparison. I hope this question is theoretical. You should never buy a financial instrument with no clue how it works. "I am assuming you mean derivatives such as speeders, sprinters, turbo's or factors when you say ""derivatives"". These derivatives are rather popular in European markets. In such derivatives, a bank borrows the leverage to you, and depending on the leverage factor you may own between 50% to +-3% of the underlying value. The main catch with such derivatives from stocks as opposed to owning the stock itself are: Counterpart risk: The bank could go bankrupt in which case the derivatives will lose all their value even if the underlying stock is sound. Or the bank could decide to phase out the certificate forcing you to sell in an undesirable situation. Spread costs: The bank will sell and buy the certificate at a spread price to ensure it always makes a profit. The spread can be 1, 5, or even 10 pips, which can translate to a the bank taking up to 10% of your profits on the spread.  Price complexity: The bank buys and sells the (long) certificate at a price that is proportional to the price of the underlying value, but it usually does so in a rather complex way. If the share rises by €1, the (long) certificate will also rise, but not by €1, often not even by leverage * €1.  The factors that go into determining the price are  are normally documented in the prospectus of the certificate but that may be hard to find on the internet. Furthermore the bank often makes the calculation complex on purpose to dissimulate commissions or other kickbacks to itself in it's certificate prices.  Double Commissions: You will have to pay your broker the commission costs for buying the certificate. However, the bank that issues the derivative certificate normally makes you pay the commission costs they incur by hiding them in the price of the certificate by reducing your effective leverage. In effect you pay commissions twice, once directly for buying the derivative, and once to the bank to allow it to buy the stock.  So as Havoc P says, there is no free lunch. The bank makes you pay for the convenience of providing you the leverage in several ways. As an alternative, futures can also give you leverage, but they have different downsides such as margin requirements. However, even with all the all the drawbacks of such derivative certificates, I think that they have enough benefits to be useful for short term investments or speculation." "The word ""good"" was used in contrast to ""bad"" but these words are misused here.  There are three kinds of debt: Debt for spending. Never go into debt to buy consumables, go out for a good time, for vacations, or other purchases with no lasting financial value. Debt for depreciating assets, such as cars and sometimes things like furniture. There are those who put this in the same category as the first, but I know many people who can budget a car payment and pay it off during the life of the car. In a sense, they are renting their car and paying interest while doing so. Debt for appreciating, money-making assets. Mortgage and student loans are both often put into the good category. The house is the one purchase that, in theory, provides an immediate return. You know what it saves you on the rent. You know what it costs you, after tax. If someone pays 20% of their income toward their fixed rate mortgage, and they'd otherwise be paying 25% to rent, and long term the house will keep up with inflation, it's not bad in the sense that they need to aggressively get rid of it. Student loans are riskier in that the return is not at all guaranteed. I think that one has to be careful not to graduate with such a loan burden that they start their life under a black cloud. Paying 10% of your income for 10 years is pretty crazy, but some are in that position. Finally, some people consider all debt as bad debt, live beneath their means to be debt free as soon as they can, and avoid borrowing money." "Essentially, he means ""one ignores history at their own peril"". We often hear people arguing that ""the old rules no longer apply"".  Whether it be to valuations, borrowing, or any of the other common metrics, to ignore the lessons of the past is to invite disaster.   History shows us that major crises in the markets usually occur when the old rules are ignored and people believe that current exceptional market conditions are justified by special circumstances." There are many ways of investing either directly or indirectly in oil: all of these options are ways to invest in an expected change in the price of oil at various degrees of directness and risk profiles. Investing in derivative or derivative-like products such as futures and CFDs is very risky and requires a good degree of sophisticated knowledge to manage. "Well it depends. I doubt the professor is looking for the ""basic"" answer as you described it. He's mostly likely looking for the above answers (i.e. the Rf is used to value a call in the B-S model).   Like in all classes, you need to know what the prof is really looking for, because many questions can be interpreted many different ways and unfortunately most teachers aren't clear in asking what they want." Well sure but derivatives valuations that you see on this chart are complete bs. Normally the derivative (future or a swap) is actually worth zero. What this chart is tallying up is the notional which is an arbitrary number only used to calculate the P&amp;L on the derivative. Sorry but this is not really the value of the derivative, so hard to see how derivatives on this chart make any sense at all. The best answer to this question will depend on you and your wife. What is 'fair' for some may not be 'fair' for others. Some couples split expenses 50:50. Some split proportionately based on income. Some pool everything together. What works best for you will depend on your relative incomes, your financial goals, living standards, and most importantly, your personal beliefs. Here is a great question with various viewpoints: How to organize bank accounts with wife. It doesn't touch heavily on home ownership / pre-nuptial agreements, but might be a good starting point to getting you to think about your options. Consider providing another loan to your wife for additional investments in the home. It seems you are both comfortable with the realities of the pre-nuptial agreement; one of those realities seems to be that in the event of divorce you would lose access to the house. Loaning money has the benefit of allowing for the improvements to be done immediately, while clearly delineating what you have spent on the home from what she has spent on the home. However, this may not be 'fair', depending on how you both define the term. Have you discussed how expenses and savings would be split between you? Since there is no mortgage on the house, she has effectively contributed her pre-marital assets towards paying substantially all of your housing costs. It may be 'fair' for you to contribute to housing costs by at least splitting maintenance 50:50, or it may not be. Hopefully you talked about finances before you got married, and if not, now would be the best time to start. I personally would hate to have an 'uneasy' feeling about a relationship because I failed to openly communicate about finances.