Bill makes deposits of 2,700 at the end of each year for n years into a fund. At time n, he uses the accumulated value of the fund to purchase an annuity immediate that makes payments of 197,909.20 at the end of each year for 5 years. The annual effective interest rate is 15%. Calculate n. O a. 26 O b. 29 O c. 28 O d. 24 O e. 22

An annual deposit of P1,500.00 is placed on a fund at the end of each year for 6 years. If the fund invested has a rate of interest of 5% compounded annually, how much is the worth of this fund at the end of 9 years? O a. P11,118.10 O b. P11,821.10 O c. P11,181.10 O d. P11,811.10

Note: d is a nominal rate so to avoid confusion you may want to write this as d^(4) first.

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)