Understanding Time Value of Money
- Future cash flows need to be discounted to present value for accurate comparisons.
- Net Present Value (NPV) helps evaluate different cash flow options by considering the time value of money.
Lottery Examples and Options
- Lottery winnings may be presented as either lump sum or an annuity payment over years (e.g. $1 million over 30 years).
- Options for payout:
- Option 1: Lump sum today, e.g., $300,000.
- Option 2: $20,000 annually for 30 years.
- Option 3: $30,000 annually for 15 years.
- Option 4: $100,000 today plus $15,000 annually for 30 years.
- Option 5: $1 million after 30 years.
Choosing Between Lump Sum and Annuity
- Factors influencing choice:
- Immediate cash versus future cash.
- Consider inflation rates and investment opportunities.
- Immediate needs vs. long-term investment strategy.
Using Excel for Financial Models
- Create spreadsheets to evaluate cash flows over time; important for analysis and decision-making.
- Essential to format cash flow data correctly (currency, decimals).
Calculating Present Value and NPV
- NPV = Present value of future cash flows - Initial investment.
- Discount Rate: Must be established before calculating NPV; reflects opportunity cost and risk associated with cash flows.
- Example: A 5% discount rate based on expected returns from a low-risk investment.
Setting Up NPV Calculation in Excel
- Use the NPV function:
- Syntax:
=NPV(discount_rate, value1, [value2], ...) - Remember to include initial cash outlays separately, as NPV only considers future cash flows from the formula.
Comparison of Options
- Calculate NPVs for each option under varying discount rates to value options correctly.
- Higher rates decrease present value of future cash flows, affecting which option may seem most valuable today.
Importance of Financial Models
- Helps visualize effects of choices on future cash returns.
- Allows for adjustment based on new information (e.g., changes in discount rate).
Additional Considerations
- Possible tax implications of lump sum vs. annuity payments (how much will be lost to taxation).
- Consult a financial advisor for detailed analysis tailored to personal situation.
Practical Skills in Excel
- Ability to build models to forecast and analyze financial outcomes.
- Understanding database functions and data validation to maintain data integrity in analyses.