This document discusses capital budgeting techniques for evaluating investment projects, including the time value of money, net present value (NPV), internal rate of return (IRR), and payback period. It provides formulas and explanations for calculating present value, future value, NPV, IRR, and payback period. A template is also included for applying these techniques to sample cash flow data for a project.
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Week 2 Capital Budgeting
1. Time Value of Money
& Capital Budgeting
Net Present Value
Internal Rate of Return
Payback Period
2. Time Value of Money
The Time Value of Money addresses the
concept that a dollar is worth more
today than it is at a future point in
time.
This assumption is based on the fact
that often times that dollar can be
invested and be earn more at some point
in time.
3. Time Value of Money
Present Value
What is the value of a future cash 鍖ow TODAY
based on a particular discount (interest) rate ?
Future Value
What is the value of an amount at a particular
time in the future based on a speci鍖ed interest
rate?
4. Present Value
Present Value Formula
Future Cash Flow
Present Value = n
(1 + r)
r = discount (interest) rate
n = number of time periods
5. Future Value
Future Value Formula
n
Future Value = Original Amount x (1 + r)
r = interest rate
n = number of time periods
6. Capital Budgeting
Capital Budgeting is used to help plan for capital
expenditures.
The main objective of capital budgeting is to
maximize the value of the 鍖rm.
It is designed to answer:
Which of several mutually exclusive projects should be selected?
How many projects should be selected?
9. Cash Flows
Initial Outlay of Cash
For all calculations, enter future cash 鍖ows in the Income
Stream row for the appropriate year.
Year 0 represents the initial cash outlay for the investment/
purchase.
10. Payback Period
(Does not consider the TIME VALUE of MONEY)
For Payback period, note when the amount reaches zero in the
payback period row.
This will represent the time in which your initial investment was
paid back.
Keep in mind: The payback period may fall bet ween years.
Determine in which year the investment will be paid back.
11. Net Present Value (NPV)
(Considers the TIME VALUE of MONEY)
For Net Present Value, you must know the initial investment,
future cash 鍖ows, and the discount rate.
Enter the amounts in the appropriate 鍖elds.
Net Present Value (NPV) is the summation of the Present Values of
all of the future cash 鍖ows.
12. Internal Rate of Return (IRR)
(Considers the TIME VALUE of MONEY)
IRR %
For Internal Rate of Return (IRR), the Net Present Value must be
zero. It is often a guessing game when determining the IRR.
By trial and error, enter % in the IRR 鍖eld. Note what the % does
to the Net Present Value amount. Continue entering percentages
until NPV equals zero (or close to zero).