S5: Time Value of Money Flashcards
Present value
How much something is worth in today’s $
Future value
How much something will be worth at a specified point in the future
Interest rate (r)
“price” of borrowing/ “return” on investments
Periods (t)
Time over which money is borrowed or invested
TVM
Time value of money: $ today is worth more than $ in the future because money can earn a rate of return over time
What are the 5 TMV applications?
- Stock Valuation
- Bond Valuation
- Company Valuation
- Project Valuation
- Personal Finance
BCPPS Valuation & Finance
What is the formulaic relationship between PV & FV?
PV=FV/(1+r)^t
Stock Valuation
1/5 of TMV applications - Determines what a stock is worth based on PV of its dividend or “free cash flows” the firm generates
Bond Valuation
1/5 of TMV applications - Determines what a bond is worth based on PV of its interest payments and the principal to be paid in maturity
Company Valuation
1/5 of TMV applications - Determines what a firm is worth based on PV of its future cash flows
Project Valuation
1/5 of TMV applications - Determines where a firm should take on a project based on PV of projected cash flows
Personal Finance
1/5 of TMV applications - Determines how much is needed to save today for a down payment on a home or for retirement
Compounding vs Discounting
Compounding: PV -> FV, Discounting: FV -> PV
Compounding interest (FV factor)
Accumulation of $ based on “new interest earned on interest previously earned” -> (1+r)^t
Simple interest
Does not compound, IR % of principle -> (1+r)