Recall that an annuity due is like an ordinary annuity except that the first payment is made

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Recall that an annuity due is like an ordinary annuity except that the first payment is made immediately instead of at the end of the first period.
a. Why is the present value of an annuity due equal to (1 + r) times the present value of an ordinary annuity?
b.
Why is the future value of an annuity due equal to (1 + r) times the future value of an ordinary annuity?
Annuity
An annuity is a series of equal payment made at equal intervals during a period of time. In other words annuity is a contract between insurer and insurance company in which insurer make a lump-sum payment or a series of payment and, in return,...
Future Value
Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value (FV) is important to investors and financial planners as they use it to estimate how much an investment made today will be worth...
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Fundamentals of Corporate Finance

ISBN: 978-0077861629

8th edition

Authors: Richard Brealey, Stewart Myers, Alan Marcus

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