A fund earned investment income of 8000 during 2014. The beginning and end balances of the fund were at 95000 and 120000, respectively. A deposit was made at time k during the year. No other deposits or withdrawals were made. The funds dollar-weighted rate of return during 2014 was 7.5235%.

a)What is the amount of the deposit made at time t=k?

b) Write an equation in terms of k for the dollar-weighted rate of return for this fund.

c) solve for the value of k. At the beginning of which month was the deposit made?