(please answer both questions)

Find the PV of a 15-year annuity with continuous payments at the rate of $250 a year at a force of interest 8 = 3.9%.

a) 2799

b) 2839

c) 2853

d) 4225

e) 5096

Given an annual rate of payment of f(t)

= 2t + 8 at time t for 14 years and a force of interest = .02. Find the PV of this continuously varying payments annuity.

a) 228.09

b) 239.12

c) 244.15

d) 253.62

e) 260.67