(Future value of an annuity) Let's say you deposited $150,000 in a 529 plan (a tax advantaged college savings plan) hoping to have $440,000 available 11 years later when your first child starts college. However, you didn't invest very well, and 3 years later the account balance dropped to $130,000. Let's look at what you need to do to get the college savings plan back on track. a. What was the original annual rate of return needed to reach your goal when you started the fund 3 years ago? b. With only $130,000 in the fund and 8 years remaining until your first child starts college, what annual rate of return would the fund have to make to reach your $440,000 goal if you add nothing to the account? c. Shocked by your experience of the past 3 years, you feel the college fund has invested too much in stocks, and you want a low-risk a. If you invested $150,000 into a fund 3 years ago and hoped to have $440,000 available 11 years later when your first child starts college, what was the original annual rate of return needed to reach your goal when you started the fund 3 years ago? % (Round to two decimal places.) b. Now with only $130,000 in the fund and 8 years remaining until your first child starts college, what annual rate of return would the fund have to earn to reach your $440,000 goal if you add nothing to the account? % (Round to two decimal places.) c. If you decide to transfer the $130,000 to a new fund that promises to pay a guaranteed return of 4 percent compounded monthly and make the necessary end-of-the-mointh deposits, how large of a monthly deposit must you make into this new fund to meet your $440,000 goal in 8 years? $ (Round to the nearest cent.)