ch 4.1 flashcards
What is the primary focus of Time Value of Money (TVM)?
The value of money changes over time due to earning potential.
What is another name for TVM?
Discounted Cash Flow (DCF) Analysis.
What is the formula for the future value of a lump sum?
FV = PV × (1 + I)^N.
What is the formula for the present value of a lump sum?
PV = FV / (1 + I)^N.
Define ordinary annuity.
Payments made at the end of each period.
Define annuity due.
Payments made at the beginning of each period.
What is the formula for the future value of an ordinary annuity?
FV = PMT × [(1 + I)^N - 1] / I.
What is the formula for the present value of an ordinary annuity?
PV = PMT × [1 - (1 + I)^-N] / I.
How does the formula for annuity due differ from ordinary annuity?
Multiply by (1 + I).
What is a perpetuity?
A financial instrument providing infinite equal cash flows.
What is the formula for the present value of a perpetuity?
PV = PMT / I.
What are uneven cash flows?
Payments that are not identical and occur irregularly.
How is the interest rate written for a period?
IR_x = x × (1 + IR%).
What is the formula to calculate the rate of return?
I = [(FV / PV)^(1/N)] - 1.
What is the formula for interest earned during a period?
INT = C × I.
What does FVIF stand for?
Future Value Interest Factor, (1 + I)^N.
What does PVIF stand for?
Present Value Interest Factor, 1 / (1 + I)^N.
How does increasing the interest rate affect the present value of a perpetuity?
It decreases the present value.
What are the interchangeable terms for interest rate?
Cost of capital, APR, and discount rate.
What is the relationship between PV and FV on a time line?
PV moves to the left, FV moves to the right.
What is the cash flow symbol at time t?
CF_t.
What is the formula for a retirement savings goal?
PV = FV / (1 + I)^N.
What is the definition of time lines?
Visual representations of cash flows over time.
What are the key components of TVM problems?
PV, FV, I, N, and PMT.
What is the effect of compounding interest on future value?
It increases the future value exponentially.