Jesse owes $7000, he repays the debt with 6 quarterly payments of $1750.00. Using linear interpolation determine the nominal rate compounded monthly being charged.
Principal loan amount = $7,000
Quarterly repayment amount = $1,750
Number of quarters = 6
Following equation can be formed-
Loan amount = Present value of future payments
$7,000 = $1,750 * PVAF (R%, 6 periods)
PVAF (R%, 6 Periods) = 4
Using Present value table, R is coming out to be 13% approx
Now, R Is the rate of interest for one quarter (3 months)
Thus rate of interest per months = R 3months
= 13% 3months
= 4.33%
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