Question: A certain life table has value q x = 0 : 1222 and q x +1 = 0 : 1384. Actuary A calculates the value

A certain life table has value

q

x

= 0

:

1222 and

q

x

+1

= 0

:

1384. Actuary A

calculates the value of

q

x

+0

:

5

based on the U.D.D. assumption resulting in

the value of

a

, and Actuary B calculates the same probability based on the

Balducci's hypothesis, resulting in the value of

b

. Actuary C calculates the

same probability based on the assumption of constant force of mortality in

each (integral) year of age, resulting in the value of

c

. Calculate

a

+

b

+

c

.

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