Answer:
$5,560
Explanation:
One thing of note in this question is the annual payment needed to pay the note. Why, the note yields a higher rate (9%) than it pays (8%), the note should have a discount. Since the note has a stated rate of 8%, the annual payments will be based on the present value of an ordinary annuity based on the 8%: Thus, the annual payment is $20,000 ÷ 3.993, or $5,009 annually.
The PV of the note, however, and thus the initial discount is based on the yield percentage of 9%. Therefore, the note's initial present value is the payment amount multiplied by 3.89 ($5,009 × 3.89), or $19,485.
The sum of interest revenue a person earns on a note is related to the total payments and also the PV of the note, with a discount recognized here initially, on this note. The total amount to be received on this note is 5 × $5,009, for a total of $25,045.
Interest is generally the amount returned over and above the amount originally recognized, which was the $19,485 originally. Thus, the total interest revenue is $25,045 − $19,485, or $5,560.
