(a) Find the present value of a continuous life annuity of 1000 per year for a 40-year-old if we assume that 6 = .06 and

/jLx = 04 for all x.

(b) Redo part

(a) if the annuity is temporary, lasting for only 30 years.

(c) Redo part

(b) if the force of mortality changes to fix = 05 for all X > 50.