ACTSC 232, WINTER 2010
Tutorial 4 – 3:304:20, Monday, March 8, HH 1101
1. You are given that
A
1
50:
10
= 0
.
15,
10
p
50
= 0
.
8, and
i
= 0
.
06. Calculate ¨
a
50:
10
.
2. You are given that
10

¨
a
x
= 4, ¨
a
x
= 10, ¨
s
x
:
10
= 15 and
v
= 0
.
94. Calculate
A
1
x
:
10
.
3. Consider the following two options of life annuities for a life (
x
):
(1) A guaranteed life annuity: in which an annual payment of 300 at the beginning
of each year is guaranteed for 20 years even if (
x
) dies in the ﬁrst 20 years. If (
x
)
is still alive after 20 years, the annuity will continue to make payments with an
annual payment of 500 at the beginning of each year until (
x
) dies.
(2) A 20year continuous temporary life annuity of
π
on (
x
)
.
You are given
i
= 0
.
03 and
μ
x
(
t
) = 0
.
01
, t
≥
0.
(a) Write the expression for the present value of the payments in the guaranteed life
annuity.
(b) Calculate the actuarial present value of the guaranteed life annuity.
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 Summer '08
 MATTHEWTILL
 Actuarial Science, Annuity, Life annuity, Whole life insurance

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