Answer:
a. The Geometric average return is 1.72%
b. The Arithmetic average return is 1.75%
c. The Dollar weighted average return is 2.61%
Explanation:
a) In order to calculate the time-weighted geometric average return we would have to calculate first the Holding period return as follows:
Holding period return = (200 - 190) / 190 = 5.263%
Hence, Geometric average return = (1 + .05263)^(1/3) - 1 = 1.72%
b) To calculate time-weighted arithmetic average return we have to make the following calculation:
Arithmetic average return = 5.263% / 3 = 1.75%
c) To calculate time-weighted arithmetic average return we would have to make the following calculation:
Dollar weighted average return=-190*3 + 200/(1+r) + 200/(1+r)^2 + 200 / (1+r)^3 = 0
= 2.61%
