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Answer at bottom looking for the work Thank You Answer at bottom looking for the

ID: 3111790 • Letter: A

Question

Answer at bottom looking for the work Thank You Answer at bottom looking for the work Thank You can affad to spend no mee t anssono then mortgage payments. Suppose thatthe interest tate that a rest s compounded contasosty and that pays maant also made s (a) Determine t the maximan asmount that thas buyea can afford to borrow on a 20-year mortgage, on a 30-year mortgage ANSWER e $209,641 74 (20 years), $250.410 33 (30 yean) b) Determite the total interest paid during the tem of the montgage in each of the cases in part () $1503526(20 years),$289.589 61(30 years)

Explanation / Answer

a)

Present value of annuity at 20 years

= [C/(e^r-1)] * (1-e^-rn)

= [1500/(e^6%/12 -1)] * (1-e^-6%/12*240)

= 209641.74

Present value of annuity at 30 years

= [1500/(e^6%/12 -1)] * (1-e^-6%/12*360)

= 250410.33

b)

total interest paid = 1500 * 12* 20 - 209641.74 = 150358.26

total interest paid = 1500 * 12* 30 - 250410.33 = 289589.67

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