Question

Cumming Corp. issues a $6,650,000, 5% bond on 1 April 20X3. At this time, market interest rates are in the range of 6%. The b

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Answer #1

Proceeds from bonds issue = $6,155,351

Cash Interest paid Interest expense D or P Amortization Closing Net Bond Liability
Opening balance $ 6,155,351
1 $ 166,250 $ 184,661 $ 18,411 $ 6,173,762
2 $ 166,250 $ 185,213 $ 18,963 $ 6,192,724
3 $ 166,250 $ 185,782 $ 19,532 $ 6,212,256
4 $ 166,250 $ 186,368 $ 20,118 $ 6,232,374

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 $ 6,650,000
Market Rate 6.00% 3.00% Term (in years) 10
Coupon Rate 5.00% 2.50% Total no. of interest payments 20

.

Calculation of Issue price of Bond
Bond Face Value Market Interest rate (applicable for period/term)
PV of $         66,50,000 at 3.00% Interest rate for 20 term payments
PV of $1 0.55368
PV of $         66,50,000 = $ 6,650,000 x 0.55368 = $ 3,681,972 A
Interest payable per term at 2.50% on $ 6,650,000
Interest payable per term $ 166,250
PVAF of 1$ for 3.00% Interest rate for 20 term payments
PVAF of 1$ 14.87747
PV of Interest payments = $ 166,250 x 14.87747 = $ 2,473,379 B
Bond Value (A+B) $ 6,155,351
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