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QUESTION

Suppose (t) = 0. An investor invests in a fund at the rate of kt per period at time t, for t gt; 0.

  1. Suppose δ(t) = 0.05. An investor invests in a fund at the rate of kt per period at time t, for t > 0. Derive an expression for the amount that she would accumulate in the fund at time 10 assuming k is a constant? What is your answer if k = 1/t? 
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