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alina1380 [7]
3 years ago
9

A stock had returns of 12 percent, 16 percent, 10 percent, 19 percent, 15 percent, and -6 percent over the last six years. What

is the geometric average return on the stock for this period?
Business
1 answer:
OleMash [197]3 years ago
6 0

Answer:

10.68%

Explanation:

Data provided in the question:

Returns on stock : 12%, 16%, 10%, 19%, 15%, -6%

Now,

Geometric average return on the stock is calculated as:

Geometric average return = ({(1 + r_1)\times(1 + r_2).......\times(1 + r_n)})^\frac{1}{n}- 1

Thus,

For the given returns on stock

Geometric average return

=[ (1 + 0.12)\times(1 + 0.16)\times(1 + 0.10)\times(1 + 0.19)\times(1 + 0.15)\times(1 + (- 0.06)) ]^{\frac{1}{6}}-1

= [ 1.12\times1.16\times1.10\times1.19\times1.15\times0.94 ]^{\frac{1}{6}}-1

=  [1.8384056768]^{\frac{1}{6}}-1

= 1.1068 - 1

= 0.1068

or

= 0.1068 × 100%

= 10.68%

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