A man, age 46, purchases a 3-year endowment insurance with benefits payable at the end of the year of death. The benefit is given by the formula:

b_46+t=1,000 1.06^t for t =1, 2, 3

Mortality is described in the following table:

Age lx

45 60,000

46 59,000

47 57,500

48 55,000

49 52,500

50 50,000

51 47,000

52 44,000

53 42,000

i =0.035

Calculate the single benefit premium for this insurance.