Hongwei makes quarterly investments in a mutual fund. He starts the year with $25,000 in his fund and deposits $2,000 at the end of each quarter. The mutual fund returns 3% in the first quarter and the last quarter. In both of the second and third quarters the return is r% (r > -100%). Hongwei ends the year with $34,113.11 in his account. a) Find r. b) What is Hongwei's time weighted return for the year? Please provide detailed explanation and mathematical formulas used. Thanks Here is a table of effective annual spot rates: 1 2 3 4 Time(yrs) Rate (%) 2.0 2.4 2.6 2.7 2.8 a) Calculate the prices of the 1,2,3,4, and 5 year zero coupon bonds that correspond to these rates. b) Find the price of a 5 year, $10,000 face value bond with an annual coupon rate of 2.5% Please provide detailed explanation and mathematical formulas used. Thanks Hongwei makes quarterly investments in a mutual fund. He starts the year with $25,000 in his fund and deposits $2,000 at the end of each quarter. The mutual fund returns 3% in the first quarter and the last quarter. In both of the second and third quarters the return is r% (r > -100%). Hongwei ends the year with $34,113.11 in his account. a) Find r. b) What is Hongwei's time weighted return for the year? Please provide detailed explanation and mathematical formulas used. Thanks Here is a table of effective annual spot rates: 1 2 3 4 Time(yrs) Rate (%) 2.0 2.4 2.6 2.7 2.8 a) Calculate the prices of the 1,2,3,4, and 5 year zero coupon bonds that correspond to these rates. b) Find the price of a 5 year, $10,000 face value bond with an annual coupon rate of 2.5% Please provide detailed explanation and mathematical formulas used. Thanks