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Morpin Morpin
wrote...
Posts: 6
Rep: 1 0
3 years ago
Can you please explain the below question with formula?
~ What is the interest - only payment for a $345,000 mortgage with an interest rate of 4.75% compounded quarterly  not in advance.  The payments will be made bi-weekly over 7 year term.
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Answer rejected by topic starter
wrote...
Educator
3 years ago Edited: 3 years ago, bio_man
Is the amortization period 7 years? If so, here's what you do:

You'll need to use the present value formula and another for the interest because the payment intervals don't match the compounding period of quarterly. The present value owing is \(P = 345,000\)

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

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

Where:

i = interest rate per compounding period
r = rate provided per compounding period > 4.75% > 0.0475
m = frequency of compounding > 4

\(i=\left(1+\frac{0.0475}{3}\right)^{\frac{3}{12}}-1\)

\(i=0.003935\)

If the payments are made bi-weekly, you'll make 24 payments in a year times 7 = 169. Therefore:

\(n = 169\)

\(R=\frac{375000\times 0.003935}{1-\left(1+0.003935\right)^{-169}}=3,024.13\)
Morpin Author
wrote...
3 years ago
This is not the answer.. the answer is $627.15
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