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21 Cards in this Set

  • Front
  • Back

Two types of capital budgeting decisions

1. Screening decisions: does the project meet or exceed a hurdle rate




2. Preference decisions: For those projects that meet or exceed a hurdle rate, which is best?

Why is a dollar today worth more than a dollar a year from now?

A dollar today can be invested and earn compounded interest

Methods that consider time and value of money

1. NPV (Net Present Value)


2. IRR (Internal Rate of Return)


3. Profitability Index

Methods that don't consider time and value of money

1. Payback Period


2. Accounting Rate of Return

Net Present Value ( NPV)

PV of Cash Inflows - PV of Cash Outflows




Accept if...


NVP >= 0




Compares the present value of a project's cash inflows with the present value of its cash outflows




-Considers the time value of money

Profitability Index

NVP of Cash Flows / Investments (in project)




Best way to compare project of different sizes/NPV of alternative investments




-Higher index, more desirable the product is




-Considers the time value of money

Internal Rate of Return (IRR)

Investment / Net Annual Cash Flows




Discount rate that results in a NPV of 0




Accept if...


IRR >= Minimum Required Rate of Return




-Rate of return promised by an investment project over its useful life




-Considers the time value of money

Payback Method

Investment / Net Annual Cash Flows


*Equation only when annual cash inflow is the same each year




Number of years needed to recover the investment




-Doesn't consider the time value of money

Accounting (Simple) Rate of Return

Annual Net Operating Income / Investment




Reduced by salvage value of old equipment

Cash Outflows

-Initial Investment in equipment (or other assets)


-Expansion of working capital (Current Ass. - Current Liab)


-Additional costs for repairs and maintenance in certain years




*Depreciation ISN'T current cash outflow

Cash Inflows

-Increase annual revenues or reduced costs


-Salvage value when the equipment is sold


-Release of working capital

Simplifying Assumptions made in NPV analysis

-Cash Flows: (except initial investment) occur at the end of periods




-All cash flows are immediately reinvented at the discount rate

Annuity

1/r[1-(1/(1+r)^n)]

Single Sum

1/(1+r)^n

Least Cost Decision

Choose the investment that has the lowest net present value

NOI Equation for Simple Rate of Return

Cash Inflows - Depreciation

Depreciation

(Investment - Salvage) / Years of Life

Annual Incremental Net Operating Income for Simple Rate of Return

NOI / Investment

Simple Tax Return

Taxable Revenue


- Tax Deductible Expenses


---------------------------------------


Taxable Income


* Tax Rate


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Tax Expense


-Tax Payments


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Tax Liability

After-Tax Cost (Net Cash Outflow)

(1-tax Rate) * Tax-Deductible Cash Expense

Tax Shield

Tax Rate * Deductible Expense