3. 1000 is invested and can be transferred between three funds X, Y and Z at any given time t 20. Fund X accumulates according to a constant force of interest of 8%, Fund Y accumulates according to the accumulation function ay (t) = 1+0.05t + 0.01t and Fund Z accumulates according to the force of interest z (t)= 0.011 (a) Find the maximum amount of the accumulated assets at the end of four years. (b) Find the minimum amount of the accumulated assets at the end of four years. (c) If you decide to hold your assets in Fund X for the entire four years, how much will you have by the end of four years? (d) Repeat (c) for Funds Y and Z. (e) Rank the five values found from (a) to (d) from least to greatest.