A bank bill with a face value of $100,000 was issued today and it matures in 60 days' time. If interest rates are 5.5% p.a. what amount of interest is earned if the bill is held until maturity?
a. |
$99,103.99 |
|
b. |
$5,500.00 |
|
c. |
$1,338.02 |
|
d. |
$896.01 |
|
e. |
$76,744.19 |
Information given in the question (all values in $):
Face Value (FV) = 100,00 (to be received on maturity)
Time to maturity (t) = 60 days
Interest rate (i) = 5.5%
As Interest = Face Value - Present Value
Present Value (PV) can be computed as below:
PV = FV / (1 + i * t/365)
= 100,000 / (1 + .055 * 60/365)
= 99,103.99
Interest = FV - PV
= 100,000 - 99,103.99
= 896.01 is the answer. Option (d) is correct.'
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