2. Suppose investor A puts $1 into his retirement account at the beginning of each year for T years (i.e., at 0,1,.. , T- 1). Investor B does not make any contributions for the first N years, and try to make it up with more contributions at the start of each year for the remaining T- N years, i..e, he will make equal contributions at t N, N+1,., T-1. Suppose the annually compounded interest rate is r 5%/year, T-60, and N 30. (a) What would be the amount that investor B needs to save every year in order to have the same amount of money as investor A at the end of 60 years? (b) We keep the assumption of N 30 and T 60 but we do not know the interest rate Suppose we know investor B needs to contribute $4 in order to catch up with investor A, what is the implied interest rate? (c) Suppose investor C also starts saving today, but instead of depositing $1 at the beginning of each year, he deposits a fixed amount at the beginning of each month for 60 12-720 months. How much does he have to save every month in order to have the same amount of money as investor A at the end of 60 years