Calculus
posted by Abbey .
A $99,000 mortgage for 30 years at 9% APR requires monthly payments of $796.58. Suppose you decided to make monthly payments of $1,100. When would the mortgage be completely paid?
I am using a present value of annuity eguation but don't know how to solve for time.
Can you use logs?
Remember that log a^n= n*log a and you can solve for n in that.
thats what i forgot.
thanks for the help
The value of an annuity usually depends upon the expected remaining years of life of the beneficiary. If the annuity pays out a fixed monthly amount for a specified period, then the formula to use would be the same as amortization. You need an amortization calculator.
The formula is:
A = P*i*(1+i)^n/[(1+i)^n  1)]
Where:
A = periodic payment amount
P = amount of principal
i = periodic interest rate
n = total number of monthly payments
In your case you want to solve for n, so an interative technique or spreadsheet approach may be required.
Using a mortgage calculatorm at this website,
http://mortgages.interest.com/content/calculators/monthlypayment.asp
I get a payoff period of 12.5 years if the monthly payment is 1101.66 and the interest rate is 9%. It will be a month longer if you pay $1100.
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