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Randomly Compounded Interest
Randomly Compounded Interest The amount of 1 [i.e., the amount that $ 1 is worth after 1 year] for an ... that Pn[r,t] is a polynomial in r of degree n. Now suppose that the n compounding periods have lengths ...Description: The amount of 1 [i.e., the amount that $ 1 is worth after 1 year] for an account earning a nominal interest r compounded n times annually is Pn[r,t], where t = [t1, . . . ,tn]. Note that Pn[r,t] is a polynomial in r of degree n. Now suppose that the n compounding periods have lengths T1, . . . ,Tn chosen at random. What can we say about Pn[r , T] , where T=[T1, . . . , Tn]? This depends of course on what is meant by choosing random lengths and we will consider two different natural possibilities that give rise to different answers to this question.
Hide- Authors: WALTER A PRANGER, Eric Rieders
- Date: Jan 1995
- Competency: External Forces & Industry Knowledge>Actuarial methods in business operations; Technical Skills & Analytical Problem Solving>Problem analysis and definition
- Publication Name: Actuarial Research Clearing House
- Topics: Finance & Investments>Capital management - Finance & Investments; Finance & Investments>Economic value