Fund X starts with $1,000 and accumulates with a force of interest δt = 1/(15- t) for 0 ≤ t < 15. Fund Y starts with 1,000 and accumulates with an interest rate of 8% per annum three years and an effective interest rate of i per annum thereafter. Fund X equals Fund Y at the end of four years. Calculate i.

A) 0.0750
(B) 0.0775
(C) 0.0800
(D) 0.0825
(E) 0.0850.