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For the first 5 years, a fund accumulates at an annual effective interest rate of i. There after, the annual effective interest rate is 2i.

For the first 5 years, a fund accumulates at an annual effective interest rate of i. There after, the annual effective interest rate is 2i. A deposit of 1 is made at time zero. The deposit accumulates to 20 at the and of 10 years and to 40 at the end of 13 years. What is the value of the deposit after 5 years?

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