Answer: arithmetic Average Return =11.33%
Geometric Average Return=10.33%
Explanation:
Returns per year
Year 1 16%
year 2 23%
year 3 15
year 4 -11%
year 5 30 %
year 6 -5%
Total = 68%
Arithmetic Average = Total returns 0f ( year 1 -6) / number of years
= 68%/6 =11.33%
Geometric Average Return is given as
= ((1 + R1) × (1 + R2) × ... × (1 +Rn))(1/n) - 1
((1 + 16%) × (1 + (23%)) × (1 + 15%) x (1+ -11%) x (1+30%) x (1+ -5%))^1/6 - 1
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x (0.95)) ^1/6
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x 0.95)) ^1/6 -1
(1.8035073 )^1/6 - 1
= 1.10328 -1 = 0.10328 x 100 = 10.328% =10.33%
