Question

In: Accounting

On January 1, 2018, Shirley Corporation purchased 12% bonds dated January 1, 2018, with a face...

On January 1, 2018, Shirley Corporation purchased 12% bonds dated January 1, 2018, with a face amount of $21 million. The bonds mature in 2027 (10 years). For bonds of similar risk and maturity, the market yield is 16%. Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

Required: Determine the price of the bonds at January 1, 2018.

Solutions

Expert Solution

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

$ 21,000,000.00

Market Rate

16.00%

8.00%

Term (in years)

10

Coupon Rate

12.00%

6.00%

Total no. of interest payments

20

Calculation of Issue price of Bond

Bond Face Value

Market Interest rate (applicable for period/term)

PV of

$21,000,000.00

at

8.0%

Interest rate for

20

term payments

PV of $1

0.21454821

PV of

$21,000,000.00

=

$       21,000,000.00

x

0.214548207

=

$ 4,505,512.36

A

Interest payable per term

at

6.0%

on

$      21,000,000.00

Interest payable per term

$      1,260,000.00

PVAF of 1$

for

8.0%

Interest rate for

20

term payments

PVAF of 1$

9.818147407

PV of Interest payments

=

$       1,260,000.00

x

9.818147407

=

$12,370,865.73

B

Bond Value (A+B)

$   16,876,378.09

Issue price of Bond = $ 16,876,378.09 or $16,876,378

Market rate is more than coupon rate hence bond is issued at discount.


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