Question

Brief Exercise 14-01 Whiteside Corporation issues $500,000 of 9% bonds, due in 10 years, with interest payable semiannually.

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Answer #1

Issue price of Bonds = $468,845

Working

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 $ 500,000
Market Rate 10.00% 5.00% 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 $           5,00,000 at 5.00% Interest rate for 20 term payments
PV of $1 0.37689
PV of $           5,00,000 = $ 500,000 x 0.37689 = $ 188,445 A
Interest payable per term at 4.50% on $ 500,000
Interest payable per term $ 22,500
PVAF of 1$ for 5.00% Interest rate for 20 term payments
PVAF of 1$ 12.46221
PV of Interest payments = $ 22,500 x 12.46221 = $ 280,400 B
Bond Value (A+B) $ 468,845
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