Correct Answer:
The current market value of bond is $ 1167
Working:
Annual Rate |
Applicable rate |
Face Value |
$ 1,000 |
||
Market Rate |
6.00% |
3.00% |
Term (in years) |
5 |
|
Coupon Rate |
10.00% |
5.00% |
Total no. of interest payments |
10 |
Note: the Bond pays $ 50 on interest semi-annually, which is 10% interest, therefore the coupon rate will be 10% .
Calculation of Issue price of Bond |
||||||||
Bond Face Value |
Market Interest rate (applicable for period/term) |
|||||||
PV of |
$ 1,000 |
at |
3.00% |
Interest rate for |
10 |
term payments |
||
PV of $1 |
0.74409 |
|||||||
PV of |
$ 1,000 |
= |
$ 1,000 |
x |
0.74090 |
= |
$ 740.90 |
A |
Interest payable per term |
at |
5.0% |
on |
$ 1,000 |
||||
Interest payable per term |
$ 50 |
|||||||
PVAF of 1$ |
for |
3.0% |
Interest rate for |
10 |
term payments |
|||
PVAF of 1$ |
$ 8.53020 |
|||||||
PV of Interest payments |
= |
$ 50.00 |
x |
8.53020 |
= |
$ 426.51 |
B |
|
a |
Bond Value (A+B) |
$ 1,167 |
End of Answer.
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