You are given: i) Fund X pays interest at the rate of 6 % convertible monthly. ii) Fund Y pays interest at a force of interest t = 1 / ( t + 12 ) iii) Ron deposited P into each fund. iv) At the end of twelve years, the accumulated amount in fund X was 2 , 000 and the accumulated amount in fund Y was Z . Determine Z . Possible Answers

A 1 , 950

B 1 , 970

C 2 , 000

D 2 , 030

E 2 , 050