Solve the following microeconomics questions

(i) A whole life assurance for 11], , payable immediately on death: (ii) A 20year term assurance for 5U1m, payable at the end of the year of death: (iii) A 20year endowment assurance for f, HUB, with the death benet payable imnlediately o1 death: {iv} A deferred temporary assurance for fl, [Kl], payable at the end of the year of death1 if deatl occurs between ages 40 and Ed] exactly. [Use the factor (1 + i for accelerating payments from end of year of death to the moment of death. Example 3.8.1. On the basis of A1967-70 select mortality and 4% p.a. interest, calculate the mean present value of each of the following assurance benefits for a life aged 30:Example 3.11.1. A company issues milyear endowment assurances each with a basic sum assured of 1,'Ll{.l{l to male lives aged 45. Gnaranteed simple reversionary bonuses at the rate of 2.25% of the current sum assured vest on pay ment of each annual premium. Alternatively, at the outset of a policy, a life assured may elect that compound reversionary bonuses should be added to the policy instead of simple reversionary bonuses. The sum assured and added bonuses will be payable at maturity, or at the end of the year of death, if earlier. Derive an expression from which can be calculated the guaranteed rate of compound bonus the company should offer so that the value of the benets at the outset is the same