14. A pension fund will pay you $3,000 per year forever. If the first payment will be made at the beginning of year 6 and interest rate is 5%(1), what is the PV of the pension fund (at t-0) a. $51,830.26 b. $49,362.40 c. $47,011.57 d. $44,772.92 15. An ordinary perpetuity pays $5,000 per year. If its PV is $125,000, what is the interest rate? a. 7%(1) b. 6%(1) c. 5%(1) d. 4%(1) 16. At age 25, a woman purchases a 3-year term life insurance that pays a death benefit of $50,000. Her life insurance policy has a special provision that 70% of total premiums paid will be returned if she survives until the end of the policy term. Assume that the interest rate is 9%(12). Use the following information. PV of death benefits = $87.36 5925 = 0.001024 In order to calculate the monthly premium, R, which of the following equations are correct? All premiums are paid at the beginning of every month. a. Rz6|.75% = 87.36 + 36RX0.998976 1.007536 b. R361.75% = 87.36 + 25.2RX0.998976 1.007536 c. R36.75% = 87.36 + 36RX0.001024 1.007536 d. R36|.75% = 87.36 + 25.2RX0.001024 1.007536