Question

In: Accounting

Company B issues a ten-year bond that has a face value (or par value) of $100,000...

Company B issues a ten-year bond that has a face value (or par value) of $100,000 and a stated rate of 4%. The interest is paid annually, the date is January 1, 2018 and the current market rate is 6%.  

What is the issue price of the bond (round to the nearest dollar)? Show your work (Using the preset tables)

Solutions

Expert Solution

Correct Answer:

Issue price of bond: $ 85,280

working:

Annual Rate

Applicable rate

Face Value

$ 100,000

Market Rate

6.00%

6.00%

Term (in years)

10

Coupon Rate

4.00%

4.00%

Total no. of interest payments

10

Calculation of Issue price of Bond

Bond Face Value

Market Interest rate (applicable for period/term)

PV of

$                     100,000

at

6.00%

Interest rate for

10

term payments

PV of $1

0.5584

PV of

$                     100,000

=

$                  100,000

x

0.55840

=

$                    55,840.00

A

Interest payable per term

at

4.0%

on

$ 100,000

Interest payable per term

$                          4,000

PVAF of 1$

for

6.0%

Interest rate for

10

term payments

PVAF of 1$

$                       7.3601

PV of Interest payments

=

$          4,000.00

x

7.36010

=

$                    29,440.40

B

a

Bond Value (A+B)

$                          85,280

A+B

End of Answer.

Thanks


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