Math 419.3 Chapter 10

1. You are given the following for a double decrement table:

i) ii)

iii) Each decrement is uniformly distributed over each year of age in its associated

single decrement table.

Calculate .

Ans. 9.95

2. For a double decrement table where cause 1 is death and cause 2 is withdrawal, you are

given:

i) Deaths are uniformly distributed over each year of age in the associated single decrement table.

ii) Withdrawals occur at the beginning of each year.

iii)

Calculate .

Ans. 0.0133

3. A multiple decrement table has two decrements: death (d) and withdrawal (w). You are given:

t

0 .002 .15

1 .002 .05

2 .002 .04

Calculate

Ans. 0.044

4. For a double decrement table, you are given:

x

35 1000 39 41

36 -- -- 69

37 828 -- --

Assume each decrement is uniformly distributed over each year of age in the double decrement table. Calculate the absolute rate of decrement due to cause 1 for age 36.

Ans. 0.026