1. What is the Rule of 72 ? 2. Solve using the Rule of 72: rate = 8%, years = 18

Question

1. What is the Rule of 72 ?

2. Solve using the Rule of 72: rate = 8%, years = 18, pv = $7,000. Solve for fv.

3.Solve, using the Rule of 72rate = 4%, years = 18, fv=$8,000. Solve for pv.

4. Solve, using the Rule of 72: rate =6%, pv=$7,000, fv= $56,000. Solve for years.

5. Solve, using the Rule of 72: pv=$10,000; fv=$160,000; years=10. Solve for rate.

Q6-Q9. Use appropriate tvm table in your textbook's appendix to solve Q6-Q9.For each question, cite the appropriate table that you are using, show the formula, and then plug-in your numbers to solve. Show all your work.

Q6 pv= $7,200 rate = 7% periods = 15 Solve for fv

Q7 fv=$15,000 rate = 15% periods = 10 Solve for pv

Q8 payment = $6,000 interest rate =8% number of periods = 10 Solve for pva

Q9 payment = $4,000 interest rate =10% number of periods = 20 Find fva

For Q10-Q13, you many 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.

Q10. 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 in30 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 ?

Q11. 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.

Q11-a: Assuming an interest rate of 8%, what is the present value of your total lottery payments ?

Q11-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 ?

12. InvestorG. Loebowns 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 ?

13. 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 toda

Explanation / Answer

Problem 1 1 The rule of 72 is a simple way of finding that in how many years an amount will be double. If the interest rate is 2%, then divide 72 by 2 which is equal to 36. It means that 36 years will be required to make an amount double. It can be checked by using the formula 1.02^36 = 2/ 2 27972.1365 3 3949.02497 4 FVIF = 56000/7000 =   8 year = 1.06^x = 8, x = 36 years 5 FVIF = 160000/10000 = 16 1.0x^10 = 16, x = 32% is the rate 6 FVIF 2.7590 19865 7 PVIF 0.2472 3708 8 PVIF a 6.7101 40261 9 FVIF A 57.275 229100 10 FVIF a (1+r^n-1)/r 164.494 2736 annual contribution at year end. 11 Year PVIF a 0 50000 1 50000 5 50000 0.680583197 34029 PV 84029 Year FVIF 0 50000 1.469328077 73466 5 50000 1 50000 FV 123466 12 Year PVIF 1-5 50 3.7908 190 5 1000 0.620921323 621 Worth today 810 13 Year PVIF 1 1 0.925925926 0.93 2 1.5 0.85733882 1.29 3 2 0.793832241 1.59 4 2.75 0.735029853 2.02 4 62.25 0.735029853 45.76 Worth today 51.58

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