Question

In: Finance

Suppose you require an annual interest rate of 7% from all your bond investments. You plan...

Suppose you require an annual interest rate of 7% from all your bond investments. You plan to purchase the following bond and hold on to it till maturity. Coupon Rate: 5.1% Maturity Date: 10/15/2034 Par value: $1,000

What should be the maximum price you pay for it ­now (i.e., 10/15/2020) so that you earn no less than the required 7% per year?

Solutions

Expert Solution

Information provided:

Par value= future value= $1,000

Time= 15 October 2034 - 15 October 2020 = 14 years

Coupon rate= 5.1%

Coupon payment= 0.051*1,000= $51

Yield to maturity= 7%

The price of the bond is calculated by computing the present value.

Enter the below in a financial calculator to compute the present value:

FV= 1,000

PMT= 51

I/Y= 7

N= 14

Press the CPT key and PV to compute the present value.

The value obtained is 833.84.   

Therefore, I will pay a maximum price of $833.84 for the bond today.


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