dumisanimtetwap8wer2 dumisanimtetwap8wer2
  • 14-07-2018
  • Mathematics
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A mortgage of $30000 is borrowed over 25 years at 12% interest. This loan is repaid by regular instalments at the end of every month. How much should each instalment be?

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mathmate
mathmate mathmate
  • 14-07-2018

This requires the mortgage formula for the monthly payment, as follows:

Monthly Payment Amount

= [tex]P(i(1+i)^n)/((1+i)^n-1)[/tex]

where

P=present value (borrowed amount) = 30000

i=interest per period = 0.12/12 = 0.01 per month

n=number of periods (months) = 25*12 = 300 months


Evaluating,

Monthly payment

=P*(i*(1+i)^n)/((1+i)^n-1)

=30000*(0.01*(1+0.01)^300)/((1+0.01)^300-1)

=315.97

Answer Link
livefranoor5w13
livefranoor5w13 livefranoor5w13
  • 14-07-2018

Monthly payment

=P*(i*(1+i)^n)/((1+i)^n-1)

=30000*(0.01*(1+0.01)^300)/((1+0.01)^300-1)

=315.97

HOPE THIS HELPS!!

Answer Link

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