Question

Regatta Inc. has seven-year bonds outstanding that pay a 12 percent coupon rate. Investors buying these...

Regatta Inc. has seven-year bonds outstanding that pay a 12 percent coupon rate. Investors buying these bonds today can expect to earn a yield to maturity of 8.875 percent. What is the current value of these bonds? Assume annual coupon payments.

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Answer #1

Annual coupon=$1000*12%=$120

Hence current value=Annual coupon*Present value of annuity factor(8.875%,7)+$1000*Present value of discounting factor(8.875%,7)

=$120*5.054131966+$1000*0.551445788

which is equal to

=$1157.94(Approx).

NOTE:

1.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

=$120[1-(1.08875)^-7]/0.08875

=$120*5.054131966

2.Present value of discounting factor=$1000/1.08875^7

=$1000*0.551445788

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