Question

You are thinking of purchasing a home. The house costs $300,000. You have $43,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offerring a 30-year mortgage that requires annual payments and has an interest rate of 6% per year. What will be your annual payment if you for this mortgage?

Answer 1

Answer:

Annual payment= $3,250.77

Explanation:

Giving the following information:

You are thinking of purchasing a home. The house costs $300,000. You have $43,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30-year mortgage that requires annual payments and has an interest rate of 6% per year.

FV= 300,000 - 43,000= $257,000

i=6%

n= 30

Annual payment= ?

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (257,000*0.06)/{[1.06^30]-1}= $3,250.77