1)Given
x      q_x  
80   0.06
81   0.07
82   0.08

and v = 0.9,compute
a)  
b)  
c)  


2)Given   =0.7 and i = 0.05, find A_x for x = 81,82 and 83 using the following table:
x         l_x
80     391
81     360
82     328
83     297

3)Assuming ILT @ i = 6%, find the net single premium for each policy.Further assume all death benefits are payable at the end of death.
a) A $20000 whole life insurance to (30) which has an additional benefit of $100000 if (30) dies before age 40.
b)A $100000 for 25-year endowment insurance to (40)

4) A whole life insurance to (40) provides the following benefits:
i: death benefit, payable at the end of year of death, is equal to$20000 if death occurs prior to age 65 and $10000 thereafter, and
ii: the net single premium is refunded at age 65 if the insured is still alive.

Given    = 0.2,    = 0.5 and    = 0.2,
find the net single premium.

麻烦了。{:3_52:}