I face a dataset which describe out of each quarterly total loan amount of a bank, how much (dollar amount) was charged off. For example, say 2015 Qrt 1, the total loan amount is 10,000 USD, by some time point, the charged off principal turned to be 500 USD, so the estimated default rate for this quarter is 5%.Now I have a series of such data points and the data in each quarter can be assumed independent.Is there any known distribution (continuous distribution) can be applied for each quarterly default rate or default amount, given a certain time point?When it comes to the counts, namely out of N loans from 2015 Qrt 1, there were m loans charged off, the the default rate can be estimated as m/N. and the underlying distribution is Binomial (N, p). However, in dollar amount version, any distribution can be available to model the data?Cheers
Is there any known distribution I can resort to?
statistics;probability;distribution