# Finance equations and formulas - 20925

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Finance equations and formulas

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 72 rate = 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 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 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.

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 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 ?

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. 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 ?

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 today ?

Solution Description

The rule of 72 is a simple way of finding that in how many y

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