Question

In: Finance

The bank is offering 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 sign this mortgage?

You are thinking of purchasing a house. The house costs $250,000. You have $36,000 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. What will be your annual payment if you sign this mortgage?

Solutions

Expert Solution

Annual payment= [P x R x (1+R)^N]/[(1+R)^N-1]
Where,
P= Loan Amount =$250000-36000 =$214000
R= Interest rate per period =6%
N= Number of periods =30 years
= [ $214000x0.06 x (1+0.06)^30]/[(1+0.06)^30 -1]
= [ $12840( 1.06 )^30] / [(1.06 )^30 -1
=$15546.87

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