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About this document
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- 2 pages
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- $2 one-time, yours to keep
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- Subject
- Finance, Mathematics
This document shows how to calculate the present value of a future expense using the time value of money principle. It explains the method with a bike purchase example.
What's inside
- Time value of money principle
- Future value calculation
- Present value calculation
- Interest rate consideration
- Example with bike purchase
Who it is for: Students studying finance or mathematics. (Undergraduate)
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Summary
Time value of money is the idea that money today is worth more than the same amount in the future. Students learn how to calculate the present value of a future sum.
Time value of money
This is the idea that money today is worth more than the same amount in the future. A future sum of money is worth less than the same sum today.
Future value problem
The problem is about finding out how much to invest now to buy a bike in 12 years. The bike will cost $24,000 in 12 years. The interest rate is 7%.
Present value calculation
The present value is calculated using the formula PV = FV/(1+R)^n. The future value is divided by (1+interest rate) raised to the power of the number of years.
Risk factor
The interest rate of 7% is considered reasonable. Higher interest rates are seen as riskier. The calculation assumes a stable interest rate over 12 years.
Key terms
- Time value of money
- The idea that money today is worth more than the same amount in the future.
- Future value
- The amount of money that will be available in the future.
- Present value
- The current value of a future sum of money.
- Interest rate
- The rate at which money grows when invested or the cost of borrowing money.
- Discounting
- The process of finding the present value of a future sum of money.
- Risk factor
- The level of uncertainty or potential loss associated with an investment.
Questions this document helps with
- How do you calculate the present value of a future sum?
- What is the formula for present value?
- Why is money today worth more than the same amount in the future?
Summary written with AI from the document's text.
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