Answer:
The total worth of the investment after 6 months is T = $ 1004004
The geometric mean of the above monthly returns is
Step-by-step explanation:
From the question we are told that
The growth for each month are
R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165
The amount invested is
The number period of the investment is 6 months
Generally the worth of the investment after each month is
Here is the worth of the investment the previous year
is the growth for that month
So considering the first month
Here
So
Considering the second month
Here
So
=>
Considering the third month
Here
So
Considering the fourth month
Here
So
Considering the fifth month
Here
So
Considering the six month
Here
So
Generally the total worth of the investment after 6 months is T = $ 1004004
Generally the geometric mean of the monthly returns is
Here n represents the number of months which has a value n = 6
So