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 = 9.07% p.a. Calculate the premium value. Round your answer to three decimal places.

Year	Probability of surviving from start of year to end of year
1	0.88
2	0.75
3	0.52
4	0

a.

$16261.207

b.

$18072.900

c.

$18380.341

d.

$21500.000