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Natalie is applying to her friendly, neighborhood band for a mortgage of $500,000

Finance Nov 22, 2020

Natalie is applying to her friendly, neighborhood band for a mortgage of $500,000. The bank is quoting 4% APR with semi-annual compounding, for a fixed rate mortgage. Natalie would like to have a 25-year amortization period and wants to make monthly payments. What will her monthly mortgage payments be?

 

a) $2639.18

b) $2612.43

c) $2650.24

d) $2888.05

e) $2630.10

Expert Solution

Computation of Monthly Mortgage Payments using PMT Function in Excel:

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

Here,

PMT = Monthly Mortgage Payments = ?

Rate = 4%/12 = 0.3333% compounded monthly

Nper = 25 years * 12 months = 300 months

PV = $500,000

FV = 0

Substituting the values in formula:

=pmt(0.3333%,300,-500000,0)

PMT or Monthly Mortgage Payments = $2,639.18

So, the correct option is A "$2,639.18".

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