A savings plan requires an investor to pay 10 installments, each one of $500, due at the end of every year for 10 years. One year after the last of such installments the bank will start making annual payments to the investor, each one for a fixed amount P, for n years. Assume an effective interest rate of 5% p.a. (a) If n = 7 determine the value of P. (b) If n = ∞, i.e. payments from the bank continue indefinitely, determine the value of P.

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
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3. * A savings plan requires an investor to pay 10 installments, each one of $500, due at the
end of every year for 10 years. One year after the last of such installments the bank will
start making annual payments to the investor, each one for a fixed amount P, for n years.
Assume an effective interest rate of 5% p.a.
(a) If n 7 determine the value of P.
=
(b) If n
=
∞, i.e. payments from the bank continue indefinitely, determine the value of P.
Transcribed Image Text:3. * A savings plan requires an investor to pay 10 installments, each one of $500, due at the end of every year for 10 years. One year after the last of such installments the bank will start making annual payments to the investor, each one for a fixed amount P, for n years. Assume an effective interest rate of 5% p.a. (a) If n 7 determine the value of P. = (b) If n = ∞, i.e. payments from the bank continue indefinitely, determine the value of P.
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