How much money, Ap, should you invest at the present in such a bond if you would like to receive perpetual monthly payments in the amount of R = $1200, assuming the monthly interest rate is i = 0.25%. You may assume the first payment is due in 1 month.

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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B2) Perpetuity in the financial system is a situation where a stream of cash flow payments
continues indefinitely or is an annuity that has no end. The UK's government bond known
as a Consol is one example of a perpetuity.
How much money, Ap, should you invest at the present in such a bond if you would like to
receive perpetual monthly payments in the amount of R = $1200, assuming the monthly
interest rate is i = 0.25%. You may assume the first payment is due in 1 month.
Hint: if you draw a timeline, you will get the following infinite series:
R
R
R
Ap
+
+
1 + i
(1 + i)² ' (1 + i)³
(1 + i)"
Transcribed Image Text:B2) Perpetuity in the financial system is a situation where a stream of cash flow payments continues indefinitely or is an annuity that has no end. The UK's government bond known as a Consol is one example of a perpetuity. How much money, Ap, should you invest at the present in such a bond if you would like to receive perpetual monthly payments in the amount of R = $1200, assuming the monthly interest rate is i = 0.25%. You may assume the first payment is due in 1 month. Hint: if you draw a timeline, you will get the following infinite series: R R R Ap + + 1 + i (1 + i)² ' (1 + i)³ (1 + i)"
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