Monday 27 April 2015

Compounding vs Discounting

Compounding
Compounding is to calculate future value from the present value.  Discounting is to calculate the present value from the future value. Formula for compounding and discounting is given below
Future Value = Present Value (1+ rate of Interest)- Compounding
Future Value = Present Value (1+ rate of Interest)-n  - Discounting

n= number of period
Example of Compounding
Mr. A deposited 20,000 @ 12% in a bank .how much money he will receive after 5 years
Solution
Future Value = Present Value (1+ rate of Interest)n
= 20,000 (1+.12)5
=20,000 x 1.762
=35,246

Example of Discounting


Mr. A is expected to receive 40,000 in 5 years. Rate of interest is 15%. What is present value of future cash flows?

Solution

= 40,000 (1+.15)-5
=40,000 x .497
=19,880