Showing posts with label rate of return. Show all posts
Showing posts with label rate of return. Show all posts

Tuesday, December 27, 2016

What is the Difference Between Rate of Interest and Rate of Return?

Interest Rate:
Interest rate is the promised or specified or coupon rate of interest payable on the principal amount of the loan or the nominal value of the instrument like a bond or a fixed deposit.

For example let us consider the following picture of 9% Treasury note of the US:
Picture of 9% US Treasury Note indicating the nominal value and rate of interest
Picture of 9% US Treasury Note indicating the nominal value and rate of interest
In this example:
  • The principal or nominal value of the instrument is US$ 1000
  • The coupon rate or rate of interest is 9%
  • The annual interest receivable is US$ 90

Rate of Return:
Rate of return is the actual rate actually obtained or earned by the investor on the investment.
Can there be a difference between interest paid and actually earned by the investor? How is it possible?
Yes, indeed it is possible.
How?
Because there is what is called a secondary market for bonds, treasury notes and various other kinds of debt instruments, where these are sold at prices different from the nominal value.
For example the “9% US$ 1000 Treasury Note” can be trading at either US$1100 or US$ 800 depending on the market demand and supply. Let us examine two situations where the note is bought at US$ 1100 and 800.
Bought at US$ 1100:
  • The principal or nominal value of the instrument is US$ 1000
  • The coupon rate or rate of interest is 9%
  • The annual interest receivable is US$ 90
  • Actual cost of investment is US$ 1100
  • Interest rate actually obtained or earned by the investor is (US$ 90/ 1100)*100 = 8.18%
  • Rate of Return therefore is 8.18% and not 9%

Bought at US$ 800:
  • The principal or nominal value of the instrument is US$ 1000
  • The coupon rate or rate of interest is 9%
  • The annual interest receivable is US$ 90
  • Actual cost of investment is US$ 800
  • Interest rate actually obtained or earned by the investor is (US$ 90/ 800)*100 = 11.25%
  • Rate of Return therefore is 11.25% and not 9%
  • This rate of return actually obtained is also called the yield .

Suggested Further reading: