In: Accounting
On January 1, 2018, Bishop Company issued 10% bonds dated
January 1, 2018, with a face amount of $37 million. The bonds
mature in 2027 (10 years). For bonds of similar risk and maturity,
the market yield is 12%. 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. (Enter
your answer in whole dollars.)
Bonds issue price is calculated by ADDING the: |
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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 |
$ 37,000,000.00 |
||
Market Rate |
12.00% |
6.00% |
Term (in years) |
10 |
|
Coupon Rate |
10.00% |
5.00% |
Total no. of interest payments |
20 |
Calculation of Issue price of Bond |
||||||||
Bond Face Value |
Market Interest rate (applicable for period/term) |
|||||||
PV of |
$ 37,000,000.00 |
at |
6.0% |
Interest rate for |
20 |
term payments |
||
PV of $1 |
0.31180473 |
|||||||
PV of |
$ 37,000,000.00 |
= |
$ 37,000,000.00 |
x |
0.311804727 |
= |
$ 11,536,774.895 |
A |
Interest payable per term |
at |
5.0% |
on |
$ 37,000,000.00 |
||||
Interest payable per term |
$ 1,850,000.00 |
|||||||
PVAF of 1$ |
for |
6.0% |
Interest rate for |
20 |
term payments |
|||
PVAF of 1$ |
11.46992122 |
|||||||
PV of Interest payments |
= |
$ 1,850,000.00 |
x |
11.46992122 |
= |
$ 21,219,354.254 |
B |
|
Bond Value (A+B) |
$ 32,756,129. |
Answer
Issue price of Bond =$ 32,756,129