I am using the following formula for calculating EMI. EMI = (P*r)*( (1 + r) ^N )/( (1 + r) ^N - 1) where P = principal loan amount r = annual interest rate / 12 n = number of monthly installments. Given all other values, how do I find 'r'?
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Answer:
Let (1+r)^n be x. Therefore, E=(Px)/(x-1) Ex-E=Px Ex-Px=E x(E-P)=E x=E/(E-P) Now, remember that x is actually (1+r)^n. Hence, (1+r)^n=E/(E-P) We can safely assume n is not zero. We raise the whole equation to 1/n. Hence, (1+r)^(n*1/n)=(E/(E-P))^(1/n) 1+r=(E/E-P)^(1/n) r=(E/E-P)^(1/n) - 1 Substitute the values for E, P and n and use a calculator if needed. And we're done!
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