Thursday, December 27, 2012
Monday, December 24, 2012
Steps in Cash Flow Estimation
Estimate the current earnings of the firm
• If looking at cash flows to equity, look at earnings after interest expenses - i.e. net income
• If looking at cash flows to the firm, look at operating earnings after taxes
Consider how much the firm invested to create future growth
• If the investment is not expensed, it will be categorized as capital expenditures. To the extent that depreciation provides a cash flow, it will cover some of these expenditures.
• Increasing working capital needs are also investments for future growth
If looking at cash flows to equity, consider the cash flows from net debt issues (debt issued - debt repaid)
EBIT ( 1 - tax rate)
- (Capital Expenditures - Depreciation)
- Change in Working Capital
= Cash flow to the firm
Where are the tax savings from interest payments in this cash flow?
From Reported to Actual Earnings
Tuesday, December 4, 2012
Estimating the Cost of Debt
The cost of debt is the rate at which you can borrow at currently, It will reflect not only your default risk but also the level of interest rates in the market.
The two most widely used approaches to estimating cost of debt are:
• Looking up the yield to maturity on a straight bond outstanding from the firm. The limitation of this approach is that very few firms have long term straight bonds that are liquid and widely traded.
• Looking up the rating for the firm and estimating a default spread based upon the rating. While this approach is more robust, different bonds from the same firm can have different ratings. You have to use a median rating for the firm
When in trouble (either because you have no ratings or multiple ratings for a firm), estimate a synthetic rating for your firm and the cost of debt based upon that rating. The rating for a firm can be estimated using the financial characteristics of the firm. In its simplest form, the rating can be estimated from the interest
coverage ratio.
Interest Coverage Ratio = EBIT / Interest Expenses
Companies in countries with low bond ratings and high default risk might bear the burden of country default risk, especially if they are smaller or have all of their revenues within the country.
Larger companies that derive a significant portion of their revenues in global markets may be less exposed to country default risk. In other words, they may be able to borrow at a rate lower than the government.
The weights used to compute the cost of capital should be the market value weights for debt and equity.
There is an element of circularity that is introduced into every valuation by doing this, since the values that we attach to the firm and equity at the end of the analysis are different from the values we gave them at the beginning.
As a general rule, the debt that you should subtract from firm value to arrive at the value of equity should be the same debt that you used to compute the cost of capital.
Sunday, October 14, 2012
Estimating Beta
The standard procedure for estimating betas is to regress stock returns (Rj) against market returns (Rm) -
Rj = a + b Rm
• where a is the intercept and b is the slope of the regression.
The slope of the regression corresponds to the beta of the stock, and measures the riskiness of the stock. This beta has three problems:
• It has high standard error
• It reflects the firm’s business mix over the period of the regression, not the current mix
• It reflects the firm’s average financial leverage over the period rather than the current leverage.
Solutions to the Regression Beta Problem
Modify the regression beta by
• changing the index used to estimate the beta
• adjusting the regression beta estimate, by bringing in information about the fundamentals of the company
Estimate the beta for the firm using
• the standard deviation in stock prices instead of a regression against an index
• accounting earnings or revenues, which are less noisy than market prices.
Estimate the beta for the firm from the bottom up without employing the regression technique. This will require
• understanding the business mix of the firm
• estimating the financial leverage of the firm
Use an alternative measure of market risk not based upon a regression
Within any business, firms with lower fixed costs (as a percentage of total costs) should have lower unlevered betas. If you can compute fixed and variable costs for each firm in a sector, you can break down the unlevered beta into business and operating leverage components.
Unlevered beta = Pure business beta * (1 + (Fixed costs/ Variable costs))
The biggest problem with doing this is informational. It is difficult to get information on fixed and variable costs for individual firms. In practice, we tend to assume that the operating leverage of firms within a business are similar and use the same unlevered beta for every firm.
Calculating Equity Betas and Leverage
βL = βu (1+ ((1-t)D/E))
In some versions, the tax effect is ignored and there is no (1-t) in the equation. Debt Adjusted Approach: If beta carries market risk and you can estimate the beta of debt, you can estimate the levered beta as follows
βL = βu (1+ ((1-t)D/E)) - βdebt (1-t) (D/E)
While the latter is more realistic, estimating betas for debt can be difficult to do.
Thursday, April 5, 2012
Estimating Discount Rates
Critical ingredient in discounted cash flow valuation. Errors in estimating the discount rate or mismatching cash flows and discount rates can lead to serious errors in valuation. At an intuitive level, the discount rate used should be consistent with both the riskiness and the type of cash-flow being discounted. If the cash flows being discounted are cash flows to equity, the appropriate discount rate is a cost of equity. If the cash flows are cash flows to the firm, the appropriate discount rate is the cost of capital. The currency in which the cash flows are estimated should also be the currency in which the discount rate is estimated. If the cash flows being discounted are nominal cash flows (i.e., reflect expected inflation), the discount rate should be nominal.
The cost of equity should be higher for riskier investments and lower for safer investments.While risk is usually defined in terms of the variance of actual returns around an expected return, risk and return models in finance assume that the risk that should be rewarded (and thus built into the discount rate) in valuation should
be the risk perceived by the marginal investor in the investment. Most risk and return models in finance also assume that the marginal investor is well diversified, and that the only risk that he or she perceives in an
investment is risk that cannot be diversified away (I.e, market or non-diversifiable risk).
There are various models to calculate cost of Equity, however the most popular one being CAPM
Consider the standard approach to estimating cost of equity:
Cost of Equity = Rf + Equity Beta * (E(Rm) - Rf)
where,
Rf = Riskfree rate
E(Rm) = Expected Return on the Market Index (Diversified Portfolio)
In practice, Short term government security rates are used as risk free rates, Historical risk premiums are used for the risk premium & Betas are estimated by regressing stock returns against market returns.
On a risk-free asset, the actual return is equal to the expected return. Therefore, there is no variance around the expected return. For an investment to be riskfree, then, it has to have a) No default risk b) No reinvestment risk. Thus, the riskfree rates in valuation will depend upon when the cash flow is expected to occur and will vary across time. In valuation, the time horizon is generally infinite, leading to the conclusion
that a long-term riskfree rate will always be preferable to a short term rate, if you have to pick one.
But what happens in a situation like that in Greece, where there is no riskfree/default free assest to be found, how do we then estimate a Riskfree Rate when there are no default free entities.
-Approach 1: Subtract default spread from local government bond rate: Government bond rate in local currency terms - Default spread for Government in local currency.
-Approach 2: Use forward rates and the riskless rate in an index currency (say Euros or dollars) to estimate the riskless rate in the local currency.
Do the analysis in real terms (rather than nominal terms) using a real riskfree rate, which can be obtained in one of two ways –
• from an inflation-indexed government bond, if one exists
• set equal, approximately, to the long term real growth rate of the economy in which the valuation is being done.
Do the analysis in a currency where you can get a riskfree rate, say US dollars.
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