For the next ten years, payments are made to an account at a continuous rate of (5k + tk) where k is a constant. Interest is credited at force 8 = 1/(5+). If after ten years the account is worth $30,000, calculate k. Answerik 200 9-13 A payment stream that pays a continuous rate of 1000 + 50+ at time t is received from time 5 to 10 years. The force of interest from time 0 to time 5 is 0.06 and the force of interest from time 5 to 10 years is 0.04. Calculate the present value of the payment stream. Answer: 8 4602.16