Sam has an investment with the following characteristics: starting AUM of $12, HPR and inflows to the fund of -4% and $6 respectively in the first year, HPR and inflows of -3% and $8 in the second year, and HPR and inflows of 3% and $0 in year 3. Write out the dollar-weighted cash flows equation with the cash flows plugged in. Show how you compute these cash flows and verify that the IRR = -0.458%

Please do not use excel to solve problem