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An investor purchases a 10-year , $1,000 par value bond that pays semiannual interest of $45. If the semiannual market rate o

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Correct answer------------$828

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Bonds issue price is calculated by ADDING the:
Discounted face value of bonds payable at market rate of interest, and
Discounted Interest payments amount (during the lifetime) at market rate of interest.

.

Annual Rate Applicable rate Face Value $ 1,000
Market Rate 12.00% 6.00% Term (in years) 10
Coupon Rate 9.00% 4.50% Total no. of interest payments 20

.

Calculation of Issue price of Bond
Bond Face Value Market Interest rate (applicable for period/term)
PV of $      1,000 at 6.00% Interest rate for 20 term payments
PV of $1 0.31180
PV of $      1,000 = $ 1,000 x 0.31180 = $ 312 A
Interest payable per term at 4.50% on $ 1,000
Interest payable per term $ 45
PVAF of 1$ for 6.00% Interest rate for 20 term payments
PVAF of 1$ 11.46992
PV of Interest payments = $ 45 x 11.46992 = $ 516 B
Bond Value (A+B) $ 828
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