Annunities with payments more frequent than each interest period and payments in arithmetic progression problem

Bob deposits 1500 at the beginning of each quarter for sixteen years in a fund earning a nominal rate of interest of 6% convertible monthly. The interest from this fund is paid out monthly and can only be reinvested at an effective annual rate of 5.2%. Find the accumulated value of Bob's investments at the end of twentieth year.

Answer: 198058.59

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