02 Corporate Finance Flashcards
What is Cost of Capital used for?
Cost of capital are used in discounted cash flow analysis as the proper discount rate r to determine the value of a cash flow stream
Cost of Capital - Discount rate r
The discount rate reflects the opportunity costs associated with the investment and establishes equivalence in terms of
- Time value
- Risk
- Purchasing Power
What does Cost of Capital theoretically and practically depend on/how is it derived?
- In theory, cost of capital are depending on the investor and his opportunities, his attitude towards risk and his expectations
- In practice, cost of capital are derived from the market, its opportunities, risk attitude and expectations
Components of Cost of Capital (3)
- Cost of Debt
- Cost of Preferred Stocks
- Cost of Equity and Retained Earnings
Components of Cost of Capital: Cost of Debt
The costs of debt (after-tax) result from the interest rate (CD) minus tax savings
Components of Cost of Capital: Cost of Preferred Stocks
The cost of preferred stocks (CPS) result from the preferred dividend obligation
Components of Cost of Capital: Cost of Equity and Retained Earnings
The cost of equity and retained earnings (CEQ) is the rate of return the company’s stockholder require as opportunity costs in an investment with the same risk level.
How can the Cost of Equity and Retained Earnings be determined? (3)
- Risk premium or bond yield approach
- Implied cost of capital (via market prices) or dividend yield approach
- Capital Asset Pricing Model (CAPM)
Estimating Cost of Equity: Bond Yield Approach
- Ad-hoc approach that estimates the required rate of return by adding a risk premium to the interest rate of the firm’s long-term debt
- Risk premium usually lies between 3-5%
Estimating Cost of Equity: Dividend Yield Approach
- Estimate the expected constant future growth rate (g) of dividends
- The current price of stock implies the cost of capital
- The growth rate can be assessed via the product of retention rate and return on capital
Estimating Cost of Equity: CAPM Approach - Steps
Step 1: Estimate risk-free rate
Depending on the context, the short-term treasury bill or the long-term rate is used
Step 2: Estimate the stock’s beta
Via regression of weekly or monthly returns with a market index (e.g. MSCI World)
Step 3: Estimate the Market Risk Premium
A constant factor is used based in historical analysis or the annual return of a broad index against the risk-free rate is calculated
Step 4: The CAPM equation yields the required rate of return
Cost of Newly Issued Capital
- The cost of newly issued or external equity will be higher than existing cost of equity (CEQ) due to flotation costs. Whereas f is the percentage of flotation costs within the selling price
- The sale of new equity is by itself not dilutive. -> The dilution occurs only if the new funds are not invested as to cover the required return
How is the Financing Cost Structure reflected?
The financing cost structure is reflected by the weighted average cost of capital (WACC)
Weighted Average Cost of Capital (WACC)
- The cost of equity can be divided into cost of preferred shares and cost of common shares
- The weights (w) should be based on the market value of the security
Marginal Cost of Capital (MCC)
The marginal cost of capital (MCC) is the cost of the last dollar of new capital raised by the firm and is likely to be higher than WACC
What is the target (optimal) financing mix?
The target (optimal) financing mix minimizes the cost of capital and therefore maximizes the prize of the firm’s stock
Factors that influence the average cost of capital (5)
Under the control of the firm
- Capital Structure
- Dividend policy
- Investment policy
Not under the control of the firm
- Interest rate
- Tax rate
Capital Budgeting
Capital Budgeting is the process of determining and selecting the most profitable long-term investment project
- With the purchase of long-term assets the firm sacrifices some degree of flexibility
- The budgeting decision is always based on expected future cash flows
- The budgeting decision follows the firm’s strategy
Capital budgeting is based on cash flows not accounting income. Where depreciation is usually the largest noncash charge for a firm
Capital Budgeting: Classification of capital proects (5)
- Replacement decisions to maintain the business
- Replacement decisions for cost reduction
- Existing product or market expansion
- New products or markets
- Mandatory investments (e.g. safety-related) often accompany new projects
Capital Budgeting: Mutually Exclusive vs. Independent Projects
- Mutually exclusive means that only one project within a set will be accepted
- Independent projects are unrelated to each other including unlimited funds
Payback Period (PBP)
- The Payback Period (PBP) is the number of years it takes to recover the initial costs of an investment
- The Discounted Payback Period discounts the cash flows by the projects cost of capital
- PBP gives an introduction of project’s liquidity and risk since distant cash flows are risikier
Payback Period - Decision Rules
Independent alternatives:
The project should be executed if PBP is smaller than the payback period of the benchmark
Mutually exclusive projects
Prefers the one with the shorter payback period
Payback Period - Assumptions
- The annual cash flows are assumed to be linear
- PBP ignores cash flows beyond the payback period
Capital Budgeting: Net Present Value (NPV)
The NPV is the wealth increment produced by a project, investment or generally by a cash flow
- Applying cost of capital a NPV positive project increases shareholder wealth
Capital Budgeting: Net Present Value (NPV) - Discount rate r
Depending on the objective the discount rate r can be the cost of capital, the required rate of return or a hurdle rate
Capital Budgeting: Net Present Value (NPV) - Decision Rules
Independent alternatives:
NPV > 0
Mutually exclusive alternatives:
NPV(A) > NPV(B)
Difficulties applying the NPV Method (2)
- Assessment of the expected cash flows
- Determination of the appropriate discount rate r
Capital Budgeting: Internal Rate of Return
- The IRR is defined as the discount rate for which the NPV equals zero or the PV of inflows equals the PV of outflows
- It is the compound rate of return
- IRR is not depending on the discount rate, hence less depending on the investor
- For non-normal cash flow patterns (CFt becomes negative), a project may have multiple IRRs
Capital Budgeting: Internal Rate of Return - Decision Rules
Independent alternatives:
IRR > hurdle rate
Mutually exclusive alternatives:
IRR(A) > IRR(B)
NPV vs. IRR
NPV
- Considered to be the best measure because it maximizes shareholders wealth.
- Main weakness: Does not measure the size of the project
IRR
- Measures profitability as a percentage, showing the return of each dollar invested
- Disadvantages:
-> Potentially conflicting decisions compared to NPV for mutually exclusive projects
-> Multiple IRR problem
NPV/IRR conflicts arise for mutually exclusive projects when cost of capital become smaller than the crossover rate -> When such conflict occurs go with the NPV
Incremental Cash Flows
Capital budgeting decisions are based on incremental cash flows only -> the cash flows which occur only when the project is accepted