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 = 13.57% 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	0.92
2	0.73
3	0.47
4	0

a.

$15462.534

b.

$16436.472

c.

$21200.000

d.

$16968.996