Question (11: SOA 309) An annuity-immediate provides annual payments of 10 for 20 years. Immediately following the 11th payment, the annuity is exchanged for a perpetuity-immediate of equal value with semiannual payments. The present values at the time of the exchange are based on an annual effective interest rate of 6%. The first payment of the perpetuity is K and each subsequent payment is 0.5% larger than the previous payment. Calculate K. (A) 1.53 (B) 1.67 (C) 2.37 (D) 3.42 (E) 3.74