7. (10 points) A special fully discrete 3-year endowment on (x) pays a death benefit of 1000t in year t,t=1,2,3, and pays 2000 if the insured survives 3 years. You are given (i) Premiums are payable at the beginning of the first 2 years only. The premium in the second year is half the premium of the first year. (ii) (iii) i=0.05 Calculate the premium payable in the first year using the equivalence principle