Finance I Flashcards
What is the time value of money
The value of money today is worth more than the value of money tomorrow
What is the present value
the current value of future cash flows
what is the future value
the value of a future cash flow at a specific time
Compounding factor and discount factor
the compounding factor = (1+r)ⁿ
the discount factor = 1/compounding factor or (1+ r)⁻ⁿ
Ordinary annuity
In an ordinary annuity payments are made at the end of the payment intervals
Annuity due
In an annuity due payments are made immediately or at the beginning of payment intervals
Deferred annuity
A financial transaction where payments are delayed until a certain period has elapsed
Growing annuity
refers to streams of cashflows where the initial value R grows at constant rate g.
Perpetuity
A perpetuity is an annuity where the payments start at a fixed date and continue forever
Ordinary perpetuity
The holder receives the first payment in the first year PV = R/r
Growing perpetuity
The holder receives the first payment in the first year, and the payment grows at a constant rate PV = R/(r-g)
Net Present Value (NPV)
measures the difference between the PV of all future cashflows PV(in) and the investment outlay I(out).
Probability index (PI)
measures the ratio between the PV of future cash flows and the initial investment
Payback period
The length of time required to retrieve the initial investment ( cover the cost of the investment).
Simple payback
Does not allow for the time value of money and uses future cash flows without discounting
Discounted payback
Discounted cashflows are considered and it uses the time value of money
Average rate of return (ARR)
the ratio of the average annual investment profit to the investment cost.
ARR = [(Total profit/no. of years)/Investment] x 100
Equivalent annual cost (EAC)
The cost per year of owning and maintaining an asset over its lifetime.
EAC is used to compare the cost effectiveness of various assets/ investments with unequal lifespans.
EAC = NPV/An,r
Internal rate of return (IRR)
measures the interest or discount rate that equates the future returns to the present investment outlay.
It is the rate when the NPV of an investment is 0.
Steps for IRR
- Pick a discount rate and fix it into the formula
2.Try with different rates and use two that give a positive NPV and one with a negative NPV - Plot the NPV against the the two discount rates.
- Chose the point in which NPV = 0
Modified internal rate of return (MIRR)
the rate that measures the total future cash flows to the PV of the negative cash flows.
r = ⁿ√(R/PVout) - 1
where R is the FV of all positive cash inflows
n is the number of periods and PVout is the PV of all negative cash flows.
Steps for MIRR
- Calculate R compounded at the reinvestment rate
- Calculate PVout at the financing rate
- Calculate the rate of return for the lifetime n