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10 calculations to know

2. Compound Annualised Growth Rate

July 22, 2008

I had invested Rs 1 lakh in a mutual fund five years back at an NAV of Rs 20. Now the NAV is Rs 70. How should I calculate my returns on an annual basis?

Compound annualised growth rate (CAGR) will be used here to calculate the growth over a period of time. The gain of Rs 50 over five years on the initial NAV of Rs 20 is a simple return of 250 per cent (50/20 * 100). However, it should not be construed as 50 per cent average return over five years.

Formula: CAGR = {[(M/I)^(1/N)] – 1} * 100

Type in: =(((70/20)^(1/5))-1)*100 and hit enter. M: maturity value; I: initial value; N: time in years. CAGR here is 28.47%.

Also used for: Calculating the annualised returns on a lumpsum investment in shares.

Image: Tata Mutual Fund chief executive officer Ved Prakash Chaturvedi gestures as he announces the launch of a new mutual fund scheme. | Photograph: Rob Elliott/AFP/Getty Images

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