4) You are given the following information about an investment fund over the course of a single calendar year: The beginning-of-year fund balance is 300,000. On April 1, 50,000 is deposited into the fund. (and just prior to this deposit, the fund balance was 336,000) On July 1, 75,000 was deposited into the fund. (and just prior to this deposit, the fund balance was 366,700) On October 1, 100,000 was withdrawn from the fund. (and just prior to this withdrawal, the fund balance was 477,036). The end-of-year fund balance is 339,332.40. a) Calculate the dollar-weighted rate of interest for the year. (3 points) b) Calculate the time-weighted rate of interest for the year. (3 points)