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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