010.212 Interest Theory (3) Fall 2001 – Monday and Wednesday – 4:00PM to 5:15PM Assignment 4 Due: October 15th, 2001 Questions 1 to 6 are worth .2 marks; questions 7 and 8 are worth .4 marks. 1) A company, whose stock you wish to purchase, has an annual dividend of $2.00 per share. The next dividend is payable in 1 year. You expect the dividend to continue at that level forever. If you want a return of 15%, what should you pay for 1,000 shares of the company? an| 10.00 a2 n| 15.00 a4n| 2) You are given that and . Find . 3) You used $10,000 to purchase an immediate annuity that it to make payments to you for 10 years – your expected yield on this purchase was 6.5%. What is the annual payment you will receive? 4) You are able to deposit $100 into a savings fund at the end of each month. At the end of 15 years, you wish to have a fund equal to $30,000. What effective annual yield must you get on the fund to meet your goal? 5) A 14 year annuity-due provides payments of $700 each month. At 6% annual interest, what is the accumulated value of these payments 5 years after the final payment? 6) One annuity pays 4 at the end of each year for 36 years. Another annuity pays 5 at the end of each year for 18 years. The present values of both annuities are equal at the effective rate of i. What is the present value of these annuities? 7) At a certain interest rate, the present values of the following two payment patterns are equal: i) 400 at the end of 5 years plus 700 at the end of 10 years ii) 876.41 at the end of 5 years At that same interest rate, 100 invested now plus 120 invested at the end of 5 years will accumulate to Z at the end of 10 years. Find Z. 8) You use $15,000 of your funds to purchase a 20 year immediate annuity with monthly payments that yield you 6.5% effective annual. Immediately after the 72 nd payment, you sell the remaining payments for their present value calculated at 5% effective annual. What amount do you receive at that time?