Difference between the present value of the Strayer lottery jackpot
You have just won the Strayer Lottery jackpot of $11,000,000. You will be paid in 26 equal annual installments beginning immediately. If you had the money now, you could invest it in an account with a quoted annual interest rate of 9% with monthly compounding of interest.
Calculate the present value of the payments you will receive. Show your calculations using formulas in your paper or in an attached spreadsheet file.
Explain why there is a difference between the present value of the Strayer lottery jackpot and the future value of the 26 annual payments based on your calculations and the information provided.
Compare the information about risk and return indicated by different bond ratings. Support your answer with references to research.
Use various bond websites to locate one of each of the following bond ratings: AAA, BBB, CCC, and D. Research the differences between the bond ratings, the required interest rates, and the risk. List the websites used as sources for this research.
Identify the strengths and weaknesses of each rating.
Sample Solution
Calculating the Present Value of the Strayer Lottery Jackpot The present value of an investment is the amount of money that you would need to invest today in order to receive a certain amount of money in the future. The present value of the Strayer Lottery Jackpot can be calculated using the following formula:Present Value = Future Value / (1 + r)^t
Full Answer Section
where:- Present Value = the amount of money you would need to invest today
- Future Value = the amount of money you will receive in the future
- r = the interest rate
- t = the number of years
Present Value = $11,000,000 / (1 + 0.09)^26
= $3,286,350.64
Bond Rating | Risk Level |
---|---|
AAA | Lowest |
AA | Low |
A | Medium |
BBB | Medium-high |
BB | High |
B | Very high |
CCC | Very high |
D | Default |
- Moody's: https://www.moodys.com/
- Standard & Poor's: https://www.standardandpoors.com/
- Fitch Ratings: https://www.fitchratings.com/
- The Bond Buyer: https://www.bondbuyer.com/
- AAA: AAA bonds are considered to be the safest bonds available. They have the lowest risk of default. However, they also tend to have the lowest yields.
- BBB: BBB bonds are considered to be investment grade bonds. They have a moderate risk of default. However, they tend to have higher yields than AAA bonds.
- CCC: CCC bonds are considered to be non-investment grade bonds. They have a high risk of default. However, they tend to have very high yields.
- D: D bonds are considered to be defaulted bonds. They have no value and are unlikely to be repaid.