Using a discount rate of 5.5% compounded annually, a pension fund estimates that the present value of its assets and liabilities are $7 million and $4 million, respectively. The duration of the assets is 11 years and the duration of the liabilities is 27 years. (a) Suppose that the interest rate decreases to 5.45%. Estimate the relative changes in the fund's assets and liabilities. Express yours answers as percentages, to the nearest basis point. Relative Change in Assets % Relative Change in Liabilities = % (b) Using your rounded answers from (a), estimate the absolute changes in the fund's assets and liabilities. Express your answers in millions of dollars, to the nearest thousand. Absolute Change in Assets = $ million Absolute Change in Liabilities $ million (c) The fund's net worth is defined as the difference between its assets and liabilities. Using your answers from (b), estimate the relative change in the fund's net worth. Express your answer as a percent, to the nearest basis point. Relative Change = %

An insurer needs to make the following annuity payments to an individual: £744 paid at the beginning of each year for the first 5 years and then £654 paid at the beginning of each month for the next 5 years and then £798 paid at the beginning of each quarter for the following 8 years. Assuming a nominal rate of interest of 2.7% pa convertible quarterly throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? Express your answer in £s to 2 decimal places. (correct answer: 53269.67) (need working out)

An company needs to make the following annuity payments into a  pension fund: £1100 paid at the beginning of each year for the first 5 years and then  £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, please

Using the sinking fund Table 13.3, complete the following: (Do not round intermediate calculations. Round your answer to the nearest cent.) Frequency of payment Payment amount end of each Required Interest Length of time amount rate period 24,700 Quarterly 5 years 8% acer %24