ACTL10001 Chapter Notes - Chapter 5: Countable Set, Financial Transaction, Effective Interest Rate

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Uncertainties that may arise when valuing a series of payments: Uncertain about the number of payments to be made. Uncertain about the amounts of a known number of payments. A discrete random variable can take only one of a countable set of values. The probability function of a discrete random variable x is represented by pr(x=x) where x is a possible value of the random variable. The expected value of a random variable x (e(x)) s defined by the summation of xpr(x=x) over all possible values. E(k(x)) = summation of tpx from t=1 to infinity. If a payment under an insurance policy, or any other financial transaction, depends on the occurrence of a certain event, we call the event a contingent event. The principle of equivalence says that the fair value of the amount paid now is the expected value of the probability distribution.

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