At the start of the year, Piotr has an investment fund worth $90000.00. 3 months later the fund is worth $89100.00 and Piotr deposits another $9000.00. 2 months after that, the fund is worth $97119.00 and Piotr withdraws the $9000.00 he deposited the time before. At the end of the year the fund is worth $89440.79. 2 3 marks each. a) What is the Dollar Weighted Return for Piotrs investment? b) What is the Time Weighted Return for the investment fund? c) What would the fund balance at the end of year have to be to make the Time Weighted Return for the year equal the Dollar Weighted Return for the year? d) In this case (TWR = DWR) what was the return on the investment fund in the last time period?