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risk
. The possibility of not receiving the money in the future is known as
Inflation
erodes the purchasing power of a dollar.
opportunity
if you opt to receive the money now, you can use the money immediately in any way you find fit.
Compounding
The process of moving money into the future
Discounting
refers to moving distant cash flows closer to today
compound interest
the interest earned on both the initial principal and any accumulated interest from previous periods. This results in significant growth over time, as interest is earned on an increasing balance.
Present Value
The amount you loaned today is referred to as
Future Value
The amount you are repaid in the future
PVIF
used to determine the present value (PV) of a future sum of money.
future value interest factor (FVIF)
used to determine the future value (FV) of a lump sum of money.
annuity
make or receive regular, equal-sized payments over time
future value of an annuity (FVA)
the total value of a series of annuity payments (i.e., equal payments made at regular intervals) It represents how much the annuity will be worth at a future date, considering the effects of interest growth.
present value of annuity (PVA)
It represents how much the annuity will be worth at a present date, .
Compounding frequency
how often interest is added to the principal amount in an investment or loan.
FVIFA
simplifies the calculation of the FV of a series of equal payments. Increasing the number of payments increases the FVIFA, resulting in a higher future value (FV).
PVIFA
find the present value (PV) of a series of future payments. Higher interest rates decrease the PVIFA, resulting in a lower PV.
NET PRESENT VALUE
financial tool used to evaluate the profitability of an investment or project by comparing the value of future cash inflows to the initial cost. By adjusting future cash flows for the time value
Net present value (NPV)
financial tool used to evaluate the profitability of an investment or project by comparing the value of future cash inflows to the initial cost.
The net present value rule
states that a project should be accepted if NPV is greater than zero, as this indicates profitity, and rejected if NPV a loss.
Net present value (NPV) advantages
Accounts for the Time Value of Money (TVM), Considers All Cash Flows, Provides a Clear Profitability Measure, Incorporates Risk via the Discount Rate, Facilitates Comparisons
Initial investment
The amount of money required to start a new project
discount rate
The interest rate used to calculate the present value of future cash flows
NPV
A financial tool used to evaluate the profitability of an investment or project by comparing the value of future cash inflows to the initial cost
PVIFA
A multiplier used to calculate the present value of a series of equal payments (an annuity) made at regular intervals and discounted at a specific interest rate
Future cash flows
The amounts of money you expect to receive from an investment in the future
Present value of cash flows
The value of future cash flows expressed in today's dollars
Decision rule
A straightforward guideline for determining whether to accept or reject a project based on the results of analysis
Cost-benefit analysis
Comparing the costs and benefits of different projects or investments, considering the time value of money.
Time value of money (TVM)
The recognition that a dollar today is worth more than a dollar in the future
internal rate of return (IRR)
is the discount rate that makes the net present value (NPV) of an investment equal to zero, representing the project's expected rate of return.
cost of capital
the required rate of return (aka the "hurdle rate") is the return a company needs to earn on its investments to cover the costs of financing
internal rate of return (IRR) decision rule
states that a project should be accepted if the IRR is greater than the required rate of return, as this indicates sufficient profitability, and rejected if it is lower, as this indicates insufficient profitability.
Payback Period
"How long will it take for me to recover my initial investment?" the amount of time required for an investment to generate enough cash inflows to recover its initial cost.
cutoff period
is typically set by the business based on its risk tolerance, liquidity needs, and strategic goals
Limitations of the Payback Period
Ignores Time Value of Money (TVM), Excludes Post-Payback Cash Flows, No Profitability Measure