Answer:
- Annual rate = 8%
- Semiannual rate = 4%
Explanation:
The present value of the amount that is to be paid periodically:
= Fair value - Down payment
= 890,082 - 216,000
= $674,082
This is a semi annual payment so the variables need to be converted as such:
Period = 5 years * 2 = 10 semi annual periods
This payment is constant so it is an annuity.
Present value of annuity = Annuity * Present value interest factor, 10 periods, x percent
674,082 = 83,108 * Present value interest factor, 10 periods, x percent
Present value interest factor, 10 periods, x percent = 674,082 / 83,108
= 8.1109
If checked in the PVIFA Table, 8.1109 at 10 periods corresponds with 4%.
The annual interest rate is therefore:
= 4% * 2
= 8%
