Kindly help in solving the following questions

(i) In each of the following cases, calculate the value of the multiplier for an economy that has no government and no international trade: (a) the marginal propensity to save is 0.4 (b) the marginal propensity to consume is 0.75. [2] (ii) Explain how the introduction of income tax that is proportional to income will affect the value of the multiplier. [2] [Total 4]During a period of length 7 years, you observe a total of A lives between the ages of x and x+1. You do not necessarily observe each life for the entire year of age. The total time spent under observation by the N lives is I . d deaths are observed. (i) State the assumptions underlying the Poisson model for d. given that the force of mortality between the ages of x and x +1 is a constant. /. [2] (ii) Show that the maximum likelihood estimator of # is D/V, under the assumptions in (i) above. [2] (iii) Show that the maximum likelihood estimator has: (a) an expected value of (b) a variance of / V . [2) [Total 6]