Chapter 5 Flashcards
Compounding
Finding the FV of a cash flow or series of cash flows
Solving for FV formula
FV= PV(1+I)^n
Discounting
Finding the PV of a cash flow or series of cash flows.
The PV discounts a future cash flow to its value today
Ordinary Annuity
Payments occur at the end of each period.
No PV is entered when solving for FV bc you neither pay nor receive any money except for the annuity payments, and vice versa
Annuity Due
Payments occur at the BEGINNING of each period.
When using financial calc, must press BEGIN first.
Perpetuity
PV=PMT/I
Will the FV of a lump sum be larger or smaller if compounded more often?
Larger bc the more frequently compounding occurs, interest is earned on interest more often
Nominal rate
Interest rate stated in contracts. Ignores compounding.
Aka quoted or stated rate.
Not used in calculations
Periodic rate
Rate charged each period(semi-annual or monthly rate)
Nominal rate/#periods (M)
Effective Annual Rate (EAR)
Annualized interest rate actually earned, considering intra-year compounding.
Used to compare returns on investments with different number of payments per year.
EAR=(1+nom/M)^M -1
Why is it important to consider effective rates of return?
Investments with different compounding intervals provide different effective returns.
To compare investments with different compounding intervals, you must look at their effective returns (EFF% or EAR)
Relationship b/w effective rate and nominal rate.
- Effective rate is equal to the nominal rate only if annual compounding is used (M=1)
- If M>1, EFF% will always be greater than the nominal rate