Six months ago you won $1,000,000 on a scratch off lottery ticket and invested your winnings with a financial advisor at the investment firm Dewey, Lie, Howe. The earnings on the investment are compounded monthly.
You complain to the financial advisor that your returns after 6 months are inadequate and do not even cover the advisor's fees. The 6 month interest rate in decimal form have been R1=-0.4, R2=0.67, R3=1.0 R4=-0.5 R5=0.2 R6=-0.165
Question 1: What is the total worth of your investment after 6 months
the financial advisor responds that you shouldn't complain because the average return over the 6 months has been an impressive 13.4%. You angrily respond that the average return is not representative of the 6 month investment performance and that geometric mean should be used instead.
Question 2: What is the geometric mean of the above monthly returns? (Express as a decimal; round off to 3 decimal places)