The common stock of Mountain Farms has yielded 14.2 percent, 11.7 percent, 3.4 percent, −2.8 percent, and 15.8 percent over the past five years, respectively. What is the geometric average return?

Respuesta :

Answer:

Geometric return = 13.043%

Explanation:

This is compounded  annual rate  of return which is used to measure the performance of an asset over a certain number of years. It helps to measure the return generated by an investment taking into account the volatility .

Unlike the arithmetic average the geometric average gives an idea of the real rate taking into account of volatility

The formula below

Geometric Return =(1+r1) (1+r2) ...... (1+rn)^1/n

Geometric Average return =

( 1.42× 1.117× 1.034 × 0.972× 1.158) ^1/5  -1 = .13043

Geometric return =0. 1304× 100= 13.043

Geometric return = 13.043%

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