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Morpin Morpin
wrote...
Posts: 6
Rep: 1 0
3 years ago
Calculate the monthly payment of a $750000 mortgage. The mortgage has an amortization of 25 years. The interest rate for 5 year term mortgage is 5.70% compounded semi-annually not in advance.
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Replies
wrote...
Educator
3 years ago
You'll need to use the present value formula and another for the interest because the payment intervals don't math the compounding period of semi-annually. The present value owing is 750,000

\(R=\frac{P\times i}{\left[\left(1-\left(1+i\right)^{-n}\right)\right]}\)

\(i=\left(1+\frac{r}{m}\right)^{\frac{m}{12}}-1\)

Where:

i = interest rate per compounding period
r = rate provided per compounding period > 0.057
m = frequency of compounding > 2

\(i=\left(1+\frac{0.057}{2}\right)^{\frac{2}{12}}-1=0.004694\)

When you fill everything in, it will be:

\(i = 0.004694\)

n = 25 * 12 (we multiply by 12 because it's "monthly") = 300

\(R=\frac{750000\times 0.004694}{\ 1-\left(1+0.004694\right)^{-300}}=4665.33\)

You'd have to pay $4665.33 per month on a mortgage that large.

This should help you further:


Morpin Author
wrote...
3 years ago
Thank you sir for your quick reply... very satisfied
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