Continuous compounding used to find the present value of a current amount when interest is compounded continuously.

PV = Present Value FV = Future Value r = Annual Rate of Interest n = Number of Years Invested e = 2.718281828

Ravi's loan future value is Rs.15000 in the 5% interest rate for 2 years, what is the continuous compounding present value?

Future Value (P) = Rs.15000 Annual Rate of Interest (r) = 5% = 0.05 Number of Years Invested (t) = 2 years

Present Value (PV) = FV x e^{-nr}
= 15000 x 2.718281828^{-0.05x2}
= 15000 x 2.718281828^{-0.1}
= 15000 x 0.904837418
= 13572.56 Rs