2) On January 1, 2018, Yves invests $50,000 to a mutual fund investing in a mix on stocks and bonds. Balances and cashflow amounts from 2018-2020 are shown below. Note that he makes no further deposits in 2018 or 2019 but makes two deposits in 2020. Date Cashflow January 1, 2018 December 31, 2018 December 31, 2019 May 1, 2020 August 31, 2020 December 31, 2020 +$50,000 $0 $0 +$5,000 +$8,000 $0 Account Balance After Cashflow $50,000 $52,368 $55,059 $58,843 $68,157 $69,863 a) Find his annual effective return in 2019 b) Find his average effective annual return over 2018-9. c) Find the amount of investment income earned in 2020. d) Find his time weighted rate of return for 2020. e) Find his dollar weighted rate of return for 2020. (10 points)