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Larry Davis borrows $80,000 at 14 percent interest toward the purchase of a home. His mortgage is for 25 years.

a.How much will his annual payments be? (Although home payments are usually on a monthly basis, we shall do our analysis on an annual basis for ease of computation. We will get a reasonably accurate answer.)

b.How much interest will he pay over the life of the loan?

c.How much should he be willing to pay to get out of a 14 percent mortgage and into a 10 percent mortgage with 25 years remaining on the mortgage?

Assume current interest rates are 10 percent. Carefully consider the timeb value of money. Disregard taxes.

Short Answer

Expert verified

a. $11,640

b. $211,000

c. $8,813.40

Step by step solution

01

Part a

Annualpayment=LoanValue[1-1(1+r)n]r=$80,000[1-1(1+0.14)25]0.14=$80,0006.873=$11,640

02

Part b

TotalInterestPayment=(Annualpayment×Loanlife)-LoanAmount=($11,640×25)-$80,000=$291,000-$80,000=$211,000

03

Part c

Annualpayment=LoanValue[1-1(1+r)n]r=$80,000[1-1(1+0.10)25]0.10=$80,0009.077=$8,813.50

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