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kotegsom [21]
3 years ago
13

You are considering a 10-year, $1,000 par value bond. Its coupon rate is 8%, and interest is paid semiannually. If you require a

n “effective” annual interest rate (not a nominal rate) of 7.1225%, how much should you be willing to pay for the bond?
Business
1 answer:
Schach [20]3 years ago
7 0

Answer:

$1,061.28

Explanation:

We need to calculate the present value of the bond using the minimum effective rate of 7.1225%

First we calcualte the present value of an annuity of $80 for 10 years

C * \frac{1-(1+r)^{-time} }{rate} = PV\\

80 * \frac{1-(1+7.1225%)^{-10} }{7.1225%} = PV\\

PV = $558.72

Then we calculate the $1,000 in 10 years present value

\frac{Principal}{(1 + rate)^{time}}= PV

\frac{1,000}{(1 + 7.1225%)^{10} } = PV

PV =  $502.57

Then we add both values

$502.57 + $558.72 = $1,061.28

This will be the present value AKA market price which yields the minimun rate of 7.1225%

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