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Eastern Corporation has $1,000 par value bonds with 4 years to maturity

Finance

Eastern Corporation has $1,000 par value bonds with 4 years to maturity. The bonds pay an 8% coupon rate with semi-annual coupon interest payments. The bond's closing price is quoted at 101.25. If your required rate of return is 9,5%, what would be the bond's Intrinsic value? $1.310 O $1.212 O $951 5701 O $973

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C.$951.

working:

The intrinsic value of the bond = [present value of annuity*interest payment] + [present value factor *par value]

here,

present value of annuity = [1-(1+r)^(-n)]/r

here,

r =9.5% =>0.095 *6 months /12 months

=>0.0475.

n=4 years * 2 semi annual period =>8

=:> [1-(1.0475)^(-8)]/0.0475

=>6.52903579.

interest payment:

par value *coupon rate * 6 months / 12 months

=>$1000*8%*6/12

=>$40.

present value factor = 1/(1+r)^n

r=0.0475

n=8

=>1 /(1.0475)^8

=>0.68987077.

par value =$1000.

bond's intrinsic value = [6.52903579 *$40] + [0.68987077*$1000]

=>$951.