You purchase a 2,000 shares of a mutual fund at a price of exist42.50/share. At the end of the first year, you receive a distribution of exist2.50/share, which you reinvest in this same mutual fund at exist40/share. At the end of the second year you receive a distribution of exist1.50 and sell all of your position at exist43.75/share. Ignoring taxes, what is your annualized geometric return over this two-year period? What is you average annual return?
show step-by-step work and explanation.