Suppose that the accumulation function a(t) of an investment at time t (in years) is given by a(t) = 0.03t^2 + 0.4t + 2. Compute the spot rates of interest for investments of 2, 3 and 4 years. Derive the accumulation function for payments due at time 3. assuming the payments earn the forward, rates of interest. Calculate the forward rates of interest for time to maturity of 2, 3 and 4 years. Calculate the value at time 3 of a 1-period deferred annuity-immediate of 4 payments of $5 each. You may assume that future payments earn the forward rates of interest