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 = 5.01% 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	0.97
2	0.64
3	0.46
4	0

a.

$19013.616

b.

$18771.934

c.

$20700.000

d.

$17333.121