An investor is holding a stock which has been volatile with returns significantly year-over-year. The initial investment was $1,000 in stock ABC, and it returned the following: Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Return 10% -15% 20% 22% -30% 40% What is the geometric returns of Stock ABC for six years

the geometric returns of Stock ABC for six years is 5.02%

Explanation:

The computation of the  geometric returns of Stock ABC for six years is given below:

= [(1 + r1) × (1 + r2) × (1 + r3) × (1 + r4) × (1 + r5) × (1 + r6)]^1 ÷ 6 - 1

= [(1 + 0.10) × (1 - 0.15) × (1 + 0.20) × (1 + 0.22) × (1 - 0.30) × (1 + 0.40)]^(1 ÷ 6) - 1

= 0.0502 or 5.02%

Hence, the geometric returns of Stock ABC for six years is 5.02%

The above formula should be applied

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