Help me in answering the following questions

An insurance company has liabilities of f10 million due in 10 years time and $20 million due in 15 years time, and assets consisting of two zero-coupon bonds, one paying $7.404 million in 2 years time and the other paying $31.834 million in 25 years time. The current interest rate is 7% per annum effective. (i) Show that Redington's first two conditions for immunisation against small changes in the rate of interest are satisfied for this insurance company. [5] (ii) Determine the profit or loss, expressed as a present value, that the insurance company will make if the interest rate increases immediately to 7.5% per annum effective. [2] (iii Explain how you might have anticipated, before making the calculation in (ii), whether the result would be a profit or loss. [2] [Total 9]The expected annual effective rate of return from an insurance company's investments is 6% and the standard deviation of annual returns is 8%. The annual effective returns are independent and (1+ i,) is lognormally distributed, where i, is the return in the / th year. (a) Calculate the expected value of an investment of El million after ten years. (b) Calculate the probability that the accumulation of the investment will be less than 90% of the expected value. [8]