2. A fund earns interest at a force of interest 8(t) a +1 ta 100 where a > -1. A deposit is made at time t = 0, and the deposit accumulates to twice its original amount after 10 years. (a) What is the equivalent annual effective interest rate over the interval (0,5)? (b) What is the equivalent annual effective interest rate over the interval (5, 10)? (c) What is the equivalent annual effectie interest rate over the interval (0, 10)? (d) Rank your numerical values you found in (a) through (c) and give an intuitive explanation for the ranking