Using the formula, compute the true annual interest rate.

Loan amount = $9,500
Monthly payments = $227.50
Time of loan contract = 5 years

True annual interest rate (to the nearest tenth) = _____.

1 answer

227.5( 1- (1+i)^-60)/i = 9500

You will need some "fancy" methods to solve this type of an equation, e.g. Newton's Method

I just ran it through Wolfram and got
i = .0127495 for a monthly rate or an annual rate of appr . .152994 or

appr 15.3% per annum compounded monthly

http://www.wolframalpha.com/input/?i=solve+227.5(+1-+(1%2Bx)%5E-60)%2Fx+%3D+9500
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