(a) The first payment includes $157.50 interest. How much principal is in the 1" payment? 407.50-157.50-250 (b) Find the new loan balance after the 1" payment if the payment was on time. 27,000 250 26,750 (c) Use / Pre to find the interest in the 2nd payment if the 1" payment was on time. 26.750 x 0.07 T2 = 156.04 (d) How many monthly payments are scheduled? If all payments are made as scheduled, what is the total interest paid? 7x12=84 84 x 407.50-27,000 = 7,230 (e) Slightly increasing the payment to $460.32 per month will pay off the loan in 72 payments. How much interest is saved to the nearest dollar?

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
Problem 1ST
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5. Tonya finances $27,000 at 7% (per yr.) for 7 years. The monthly payment is $407.50.
(a) The first payment includes $157.50 interest. How much principal is in the 1" payment?
407.50-157.50-250
(b) Find the new loan balance after the 1" payment if the payment was on time.
27,000
250 = 26,750
(c) Use /- Prr to find the interest in the 2nd payment if the 1" payment was on time.
26.750 x 0.07
T2 = 156.04
(d) How many monthly payments are scheduled? If all payments are made as scheduled,
what is the total interest paid?
7x12=84
84 x 467.50 -27,000 = 7,230
(e) Slightly increasing the payment to $460.32 per month will pay off the loan in 72
payments. How much interest is saved to the nearest dollar?
Transcribed Image Text:5. Tonya finances $27,000 at 7% (per yr.) for 7 years. The monthly payment is $407.50. (a) The first payment includes $157.50 interest. How much principal is in the 1" payment? 407.50-157.50-250 (b) Find the new loan balance after the 1" payment if the payment was on time. 27,000 250 = 26,750 (c) Use /- Prr to find the interest in the 2nd payment if the 1" payment was on time. 26.750 x 0.07 T2 = 156.04 (d) How many monthly payments are scheduled? If all payments are made as scheduled, what is the total interest paid? 7x12=84 84 x 467.50 -27,000 = 7,230 (e) Slightly increasing the payment to $460.32 per month will pay off the loan in 72 payments. How much interest is saved to the nearest dollar?
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