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# Initial Investment - Determine the Present Value of Future Annuities

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a) Think of something you want or need for which you currently do not have the funds for. It could be a vehicle, boat, horse, jewelry, property, vacation, college fund, retirement money, etc. Select something which costs somewhere between \$2,000 and \$50,000. Use the "Present Value Formula", which computes how much money you need to start with now to achieve the desired monetary goal. Assume you will find an investment that promises somewhere between 5% and 10% interest on your money (you choose the rate) and pretend you want to purchase your desired item in 12 years. (Remember that the higher the return, usually the riskier the investment, so think carefully before deciding on the interest rate.) How much do you need to invest today to reach that desired amount 12 years from now?

b) You wish to leave an endowment for your heirs that goes into effect 50 years from today. You don't want to be forgotten after you pass, so you wish to leave an endowment that will pay for yearly Soirees. What amount would you like spent yearly to fund this grand party? How much money do you have to leave to your heirs 50 years from now, assuming that will compound at 6% interest? Assuming that you have not invested anything today, how much would you have to invest yearly to fully fund the annuity in 50 years, again assuming a 6% monthly compounding rate?

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a)

Value of car (FV) \$25,000
Interest rate (R) 5%
Duration (N) 12
Present value factor (PF) ...

#### Solution Summary

The following posting helps calculate present value of future annuities and interest rates.

\$2.19

## Stock and Bond Valuation, Time Value of Money, and WACC

1. Valuing a bond and valuing a stock:
a. Bond valuation-what is the PV or the appropriate selling price of a 30 year bond which has a 10% coupon, paid annually, and has a 10 years till maturity, during a time when market interest rates are 5%
b. Using the dividend discount model determine the appropriate market price for a share of the XYZ company when:
i. Its expected next dividend is \$1.00
ii. Its recent dividend growth rate is 5%
iii. The prevailing discount rate is 7%

2. Determining present and future values:
c. What is the PV of \$1000 received 10 years from now if your personal investment track record reaps a 10% return
d. What is the future value, 5 years from now, of \$100 invested at 3% today

3. Capital project analysis:
Project A costs \$10,000 and saves \$2000 in each of 6 years. What is the NPV of investing in this project if the discount rate of your company is
e. 2%....if its
f. 10%
g. for the very same information, what's the simple payback for project A

4. WACC:
h. in laymans terms what is WACC; why is it important to a company
i. calculate this firms WACC, when common stockholders expect a 10% return, and they represent 33% ownership in the company, preferred stock was issued at 6%, and this represents 33% of the firms value, and bonds outstanding, issued at 8% represent 33% of the firms value; their tax rate is 40%.

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