In finance, one example of a derivative is a financial
asset whose value is determined (derived) from a bundle of various
assets, such as mortgages. Suppose a randomly selected mortgage in
a certain has a probability of 0.03 of default.
a) what is the probability that a randomly selected mortgage will
not default?
b) what is the probability that nine randomly selected mortgages
will not default assuming the likelihood any one mortgage being
paid off is Independent of the others?
c) what is the probability that the derivative from part (b)
becomes worthless? That is, at least one of the mortgages
defaults.
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