Question

In: Accounting

Christmas Anytime issues $800,000 of 7% bonds, due in 15 years, with interest payable semiannually on...

Christmas Anytime issues $800,000 of 7% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. Calculate the issue price of a bond and complete the first three rows of an amortization schedule when:

1. The market interest rate is 7% and the bonds issue at face amount

2. The market interest rate is 8% and the bonds issue at a discount.

3.. The market interest rate is 6% and the bonds issue at a premium

Solutions

Expert Solution

Correct Answer:

1: Issue price of the bond @ 7% Market rate of interest = $ 800,00

Working:

Annual Rate

Applicable rate

Face Value

$           800,000

Market Rate

7.00%

3.50%

Term (in years)

15

Coupon Rate

7.00%

3.50%

Total no. of interest payments

30

Calculation of Issue price of Bond

Bond Face Value

Market Interest rate (applicable for period/term)

PV of

$                     800,000

at

3.50%

Interest rate for

30

term payments

PV of $1

0.35628

PV of

$                     800,000

=

$                  800,000

x

0.35628

=

$                 285,022.73

A

Interest payable per term

at

3.5%

on

$                          800,000

Interest payable per term

$                       28,000

PVAF of 1$

for

3.5%

Interest rate for

30

term payments

PVAF of 1$

$                   18.39205

PV of Interest payments

=

$        28,000.00

x

18.39205

=

$                 514,977.27

B

a

Bond Value (A+B)

$                       800,000

2: Issue price of the bond @ 8% Market rate of interest = $ 730,832

Working:

Annual Rate

Applicable rate

Face Value

$           800,000

Market Rate

8.00%

4.00%

Term (in years)

15

Coupon Rate

7.00%

3.50%

Total no. of interest payments

30

Calculation of Issue price of Bond

Bond Face Value

Market Interest rate (applicable for period/term)

PV of

$                     800,000

at

4.00%

Interest rate for

30

term payments

PV of $1

0.30832

PV of

$                     800,000

=

$                  800,000

x

0.30832

=

$                 246,654.93

A

Interest payable per term

at

3.5%

on

$                           800,000

Interest payable per term

$                       28,000

PVAF of 1$

for

4.0%

Interest rate for

30

term payments

PVAF of 1$

$                   17.29203

PV of Interest payments

=

$        28,000.00

x

17.29203

=

$                 484,176.93

B

a

Bond Value (A+B)

$                       730,832

3: Issue price of the bond @ 6% Market rate of interest = $ 878,402

Working:

Annual Rate

Applicable rate

Face Value

$           800,000

Market Rate

6.00%

3.00%

Term (in years)

15

Coupon Rate

7.00%

3.50%

Total no. of interest payments

30

Calculation of Issue price of Bond

Bond Face Value

Market Interest rate (applicable for period/term)

PV of

$                     800,000

at

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