Today is January 1,2022 . Roy will use a single premium to purchase an annuity today. This annuity pays $10,000 at the end of each year while Roy is alive. The estimated probability of Roy surviving for the next 4 years is stated in following table. The yield rate is assumed to be j1= 4.5% p.a. Calculate the premium value. Round your answer to three decimal places. a. $17490.442 b. $19100.000 c. $14729.264 d. $17651.074 Today is 1 July, 2022, Georg plans to purchase a corporate bond with a coupon rate of j2=3.15% p.a. and a face value of $100. This corporate bond matures at par. Its maturity date is 1 January, 2025. The yield rate is assumed to be j2=4.7% p.a. Assume that this corporate bond has a 9% chance of default in any six-month period during its term. Assume, also, that, if default occurs, Georg will receive no further payments at all. Calculate Georg's purchase price. Round your answer to three decimal places. a. $55.789 b. $95.722 c. $97.355 d. $61.172