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The cost of a home on a particular island is $1,000,000

Finance May 06, 2021

The cost of a home on a particular island is $1,000,000. The bank requires a 15% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed rate at 8%.

a) Find the required down payment

b) Find the amount of the mortgage

c) Find the amount that must be paid for the three points at closing

d) Find the monthly payment

e) Find the total cost of interest over 30 year

Expert Solution

a) Computation of the down payment:-

Down payment = Cost * % of Down payment

= $1,000,000 * 15%

= $150,000

 

b) Computation of the amount of mortgage:-

Amount of mortgage = Cost - Down payment

= $1,000,000 - $150,000

= $850,000

 

c) Computation of the amount paid for 3 points closing cost:-

Amount paid for 3 point closing cost = $850,000 * 3%

= $25,500

 

d) We can calculate the monthly payment by using the following formula in excel:-

=pmt(rate,nper,-pv,fv)

Here,

Pmt = Monthly payment

Rate = 8%/12 = 0.6667% (monthly)

Nper = 30*12 = 360 periods (monthly)

PV = $850,000

FV = $0

Substituting the values in formula:

= pmt(0.6667%,360,-850000,0)

= $6,237.00

 

e) Computation of the total cost of interest:-

Total cost of interest = Total payments - Amount of mortgage

= ($6,237 * 12 * 30) - $850,000

= $2,245,319.60 - $850,000

= $1,395,319.60

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