# Mr. Rajkumar has invested 20000 in a year 2014 for 5 years. If CAGR for that investment turned out to be 11.84 %. What will be the end balance?

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Mr. Rajkumar has invested 20000 in a year 2014 for 5 years. If CAGR for that investment turned out to be 11.84 %. What will be the end balance?

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Given t = 5 years

Vbegin = 20000 & CAGR = 11.84%

$\because$ CAGR = $[(\frac{V_{final}}{V_{begin}})^{1/t}-1]\times100$

⇒ 11.84  = $[(\frac{V_{final}}{20000})^{1/5}-1]\times100$

⇒ 1 + 0.1184 = $(\frac{V_{final}}{20000})^{1/5}$

⇒ $\frac{V_{final}}{20000}$ = (1.1184)5 = 1.7498

⇒ Vfinal = 34996

The end balance will be 34996.