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The price of a small cabin is ?$85,000. The bank requires a? 5% down payment. Th

ID: 2614816 • Letter: T

Question

The price of a small cabin is ?$85,000. The bank requires a? 5% down payment. The buyer is offered two mortgage? options: 20-year fixed at 9.5% or? 30-year fixed at 9.5%. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the? 20-year option?

____ Find the monthly payment for the? 20-year option.

(Round to the nearest dollar as? needed.)

____ Find the monthly payment for the? 30-year option.

(Round to the nearest dollar as? needed.)

____ Calculate the total cost of interest for both mortgage options. How much does the buyer save in interest with the? 20-year option?

(Use the answers from parts 1 and 2 to find this? answer.)

Explanation / Answer

Monthly payment = [P x R x (1+R)^N]/[(1+R)^N-1]

P = Princpal amount

R = Rate of Interest

N = No of installments

on the basis of above formula monthly payment for first option will be = 752.7

Interest under first option is =(240*752.7) - 80750

= 99897

Monthly payment under 30 years option is = 679

Interest under first option is =(360*679) - 80750

= 163686

for choosing 20 years option buyer will save of = 163686-99897

= 63789

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