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Let's say you deposited $150,000 in a 529 plan (a tax advantaged college savings plan) hoping to have $410,000 available 12 years later when your

Let's say you deposited $150,000 in a 529 plan (a tax advantaged college savings plan) hoping to have $410,000 available 12 years later when your first child starts college. However, you didn't invest very well, and 2 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.
- If you invested $150,000 into a fund 2 years ago and hoped to have $410,000 available 12 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 2 years ago? (Round to two decimal places)
- Now with only $130,000 in the fund and 10 years remaining until your first child starts college, what annual rate of return would the fund have to earn to reach your $410,000 goal if you add nothing to the account? (Round to two decimal places)
- If you decide to transfer the $130,000 to a new fund that promises to pay a guaranteed return of 4% compounded monthly and make the necessary end-of-the-month deposits, how large of a monthly deposit must you make into this new fund to meet your $410,000 goal in 10 years? (Round to the nearest cent)
- Now you decide to invest the $130,000 today and $350 at the end of each month for the next 10 years into a fund consisting of 50% stock and 50% bonds and hope for the best. What annual rate of return would the fund have to earn in order to reach your $410,000 goal? (Round to two decimal places)

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