In: Finance
Today is January 1 2020, Jackson will use a single premium to purchase an annuity today. This annuity pays 10,000 at the end of each year while Jackson is alive. The estimated probability of Jackson surviving for the next 4 years is stated in following table. The yield rate is assumed to be j1 = 4.74% p.a. Calculate premium value. Round your answers to three decimal places.
| Year | |||
|---|---|---|---|
| 1 | 0.80 | ||
| 2 | 0.68 | ||
| 3 | 0.46 | ||
| 4 | 0 | 
Select one:
a. 17683.841
b. 14774.533
c. 17839.739
d. 19400.000
Expected present value of Premium = Expected present value of Benefits
Let, Premium be P

P = 14774.53349
(Rounded to three decimal places)
P = 14774.533
Answer: Option B