Question 5.06 The force of interest over the next 4 years will vary as follows: For the first 1.5 years, the annual force of interest is 7%. For the subsequent year, the annual force of interest is 8%. For the subsequent 1.5 years, the annual force of interest is 6%. A payment of $100 is to be received in 4 years. Calculate the present value of the payment. A 75.96 B 76.03 C 76.09 D 76.66 E 77.31 The force of interest, t, is: t={0.050.001(t2t)04 Calculate the accumulated value of at time 8 of $100 that is deposited at time 0 . A 107.75 B 136.27 C 136.30 D 137.94 E 138.45 Question 5.17 Marcia and Jan each put $100 into separate accounts at time t=0, where t is measured in years. Marcia's account earns a constant annual effective interest rate of K/36,K>0. Jan's account earns interest at a force of interest of: t=K+0.20t1 At the end of 5 years, the amount in each account is X. Calculate X. A 114.68 B 116.67 C 194.96 D 216.14 E 248.83