SOLUTION: You need a loan of $170,000 to buy a home. Calculate your monthly payments and total closing costs for each choice below. choice 1: 20-year fixed rate at 9% with closing costs of

Algebra.Com
Question 260613: You need a loan of $170,000 to buy a home. Calculate your monthly payments and total closing costs for each choice below.
choice 1: 20-year fixed rate at 9% with closing costs of $1200 and no points.
choice 2: 20-year fixed rate of 8.25% with closing costs of $1200 and 3 points.

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
points are usually 1% of the cost of the mortgage.

if the mortgage is $170,000, then 1 point = .01 * $170,000 = $1,700.00

3 points is equal to $5,100

if you take a 20 year mortgage at 9% a month with 0 points, then your total costs are as follows:

up front closing: $1,200

monthly payments: $1,529.53

if you take a 20 year mortgage at 8.25% a month with 3 points, then your total costs are as follows:

up front closing: $1,200
up front points: $5,100
total closing: $6,300

monthly payments: $1,448.51

the difference in your monthly payments are: $81.02

the additional up front investment of $5,100 is earning you $81.02 per month for a period of 20 years.

you will recoup this $5,100 investment without interest in 62.94742039 months.


RELATED QUESTIONS

You need $210,000 to buy a new home. The bank offers a choice of a 30 year loan at an APR (answered by Fombitz)
You want to buy a $233,000 home. You plan to pay 20% as a down payment, and take out a 30 (answered by Theo)
You want to buy a $189,000 home. You plan to pay 20% as a down payment, and take out a 30 (answered by Boreal)
You want to buy a $228,000 home. You plan to pay 20% as a down payment, and take out a 30 (answered by ikleyn)
You need to borrow $20,000 to buy a car. You can only afford to make monthly payments of... (answered by jorel555)
You need to borrow $24,000 to buy a car. You can only afford to make monthly payments of... (answered by ewatrrr)
You want to buy a $12,000 car. The company is offering a 5% interest rate compounded... (answered by ElectricPavlov,ikleyn)
You want to get a home loan for $240,000. The bank is offering a 3% interest rate for 15... (answered by ikleyn)
You want to buy a $250,000 home. You plan to pay 20% as a down payment, and take out a 30 (answered by math_tutor2020)