pls Window Help WechatIMG1266.jpeg ✓ The force of interest (t) is a function of time and at any time t, measured in years, is given by the formula 0.04 8(t) == 0.008t 0<t≤5 5<t≤10 0.005t +0.00032 10<t (a) Calculate the present value of a unit sum of money due at time t = 12. (b) Calculate the effective annual rate of interest over the 12 years. (c) Calculate the present value at time t=0 of a continuous payment stream that is paid at the rate of e-0.05t per unit time between time t=2 and time t=5. Help 2 43% [4] hematics_of_Finance_A_Deterministic approach (2e) .pdf (page 36 of 446) - Edited 399 (1) A level annuity payavie annuany for 8 years, une nrst payment being made 1 year after the final premium is paid. Find the lump sum payment under option (i) and the amount of the annual annuity under option (ii). 2.7 Suppose that the force of interest per annum at time t years is 8(t) = ae-be (a) Show that the present value of 1 due at time t is v(t) = exp(-1)] (b) (i) Assuming that the force of interest per annum is as given above and that it will fall by 50% over 10 years from the value 0.10 at time 0, find the present value of a series of four annual payments, each of amount £1,000, the first payment being made at time 1. (ii) At what constant force of interest per annum does this series of payments have the same present value as that found in (i)? d Agreement Technologies - Springer Link indian 10000 E070 3 940 FOODA 7 mot 有道 PC W MacBook Exercises 3