For Q1-Q3, you may use tvm tables, a financial calculator, or excel to solve. Be sure to show all the steps in your work: factors & formula if you use the tables; keystrokes if you use a financial calculator; or formulas if you use excel.
Q1. Stressed and penniless after months of day trading, Mr. Baruch decides to invest his savings into a conservative growth mutual fund. He plans to retire in 30 years and wants to make annual deposits into his IRA in order to accumulate a sum of $450,000 at the end of the 30 years. Mr. Baruch expects to earn 10% per year, on average, in his mutual fund. What should be the amount of Baruch's annual contributions ?
Q1. On the way to Stop&Shop, you buy a lottery ticket and win $100,000. The catch is that the money will be paid to to you in two installments: $50,000 today, and $50,000 at the end of 5 years from now.
Q1-a: Assuming an interest rate of 8%, what is the present value of your total lottery payments ?
Q1-b: Suppose that you invest the $50,000 winnings that you receive today and earn 8% annually for the next 5 years. What is the future value of your total lottery payments ?
2. Investor G. Loeb owns a 5-year, $1000 bond with a 5% coupon. If the yield to maturity on similar bonds is currently 10%, what is Mr. Loeb's bond worth today ?
3. A security analyst is forecasting dividends for Boston Electric over the next four years, as follows: $1 (Y1), $1.50 (Y2); $2.00 (Y3); $2.75 (Y4). In addition, the analyst expects that the stock could be sold for $62.25 four years from now. If the required return on the stock is 8%, what is the stock worth today?