Finance problem: suppose a hedge fund earns 5% per quarter every quarter.

3. Suppose a hedge fund earns 5% per quarter every quarter. a. What is the EAR on an investment in this fund? b. If you need $1 million dollars in 3 years, how much do you have to invest in the fund today? c. If you invest $1 million today, how much money will you have in 3 years? d. If you invest $10,000 every quarter for 12 quarters, starting immediately (i.e., first investment at time (, last investment 1 1 quarters from now), how much will you have at the end of 3 years? e. If you need $1 million dollars in 5 years, and you are going to invest the same amount every quarter for 12 quarters, starting in 1 year (i.e., the first investment is at the end of year 1, the last investment is at the end of the third quarter/beginning of the fourth quarter of year 4) how much do you have to invest? f. If you invest today, how long will it take to quadruple your money