Showing posts with label Fair Value Estimates. Show all posts
Showing posts with label Fair Value Estimates. Show all posts

Basic Options Strategies for Value Investors



Options are an excellent tool for value investors. Value investors who rely on Fair Value Estimates (FVE) to arrive at Buy/Sell decisions tend to use a two-pronged approach:

  • Bottom-up fundamental analysis, and
  • Macro considerations
Rather than using a fixed FVE, value investors rely on a range of FVE’s based on the assumptions and methods used. With a range of FVE’s in place, the Buy decision can be based on a margin-of-safety around the low-point of the FVE’s and the Sell decision when the market value approaches the FVE.

Macro environment can cause the overall market to stay significantly undervalued or overvalued for extended periods of time. In times of market undervaluation, it is easier for value investors to stay fully invested while the reverse is true during periods of significant market overvaluation. Hanging on to cash under such circumstances can result in value investors missing out by a long chalk as cash holdings rarely provide significant returns. This, in essence, is the bane of long-only value investors.

Value investors would be better off with a long-short portfolio instead of one laden with longs only. Then, value investors can opt to stretch their short-portfolio when the macro picture indicates the overall market overextended and shrink the same when the macro points to the contrary. The approach is not without downsides: 

a)      Open-Ended Risk: The losses can be limitless while the returns are capped as the stock cannot dip beyond zero. For e.g., the maximum profit from shorting 100 shares of a $50 stock of ABC is 100% of the proceeds received when shorting ($5,000) – realized if the stock goes to zero. On the other hand, if the stock goes to $150 and the decision is to close the position, the loss is 200% of the proceeds received when shorting ($10,000) – theoretically, the losses have no limit as there is no ceiling for the stock price of a company.
b)      Costs: Several expenses are associated with shorting stock - the fees the broker charges for borrowing the shares, dividend payment on short position, and margin costs. A part of the cost may be offset if interest is earned on the short proceeds. The cost increases as the position is held for extended periods of time.

Options based strategies are a valuable tool for value investors. Below lists some of the most basic option strategies that can be employed:

a)      Short Puts: Short puts involve selling put options on a stock at a particular strike price. The expectation is that the stock will stay above the strike price during the option period allowing one to pocket the premium realized as pure profit. But, one is obligated to buy the stock, if and when assigned. Hence, it is best to write cash-covered puts – meaning one has the liquidity to buy the stock at the strike price. Short puts are a way for value investors to potentially enter a stock at a price they wish to enter. For e.g., say the FVE indicates stock ABC is a good value at $30 or below and the stock is currently trading at $35. An option in this scenario would be to sell put options on ABC at $30. If the stock stays over $30, the investor gets to keep the premium received. But, if it went below $30, most probably the stock would be assigned and the investor would own the shares at $30. The downside is the value of the position at the strike price, if the option was assigned. For this reason, it is best to view short put positions as though one is long on the stock at the option strike price in an amount equal to the contract size – if the sale were for 5 contracts, assume one is long 500 shares.
b)      Long Puts: Long puts involve buying put options on a stock at a particular strike price. Though the put premium needs to be paid out, it provides protection, if the investor owns the underlying shares. For e.g., say one has ownership of a stable stock XYZ at a cost-basis of $25. The stock is currently trading at $50 and the investor still thinks there is a good margin-of-safety at the current price. But, since the stock has gone up, there is an urge to protect the gains. In such a situation, long puts are value investors ally. It provides a way to protect the gains against a stock decline for the price of the premium, while keeping the upside intact.
c)      Short Calls: Short calls involve selling call options on a stock at a particular strike price. The expectation is that the stock will stay below the strike price during the option period, thereby allowing the investor to pocket the premium realized as pure profit. But, the investor is obligated to give away the stock at the strike price, if assigned. Hence, it is best to write covered calls – meaning one is long the underlying stock in an amount equal to the contract size – if selling 5 contracts ensure one is also long 500 shares. For value investors, short calls allow a way to realize periodic income on a stock. The strategy can be used against one’s long positions when the overall market and the stocks involved are fairly valued or over-extended. One is spared from selling the stock as it is unclear how long the macro situation will prevail. In this scenario, using covered calls help realize periodic income, embellishing one’s returns.
d)     Long Calls: Long calls involve buying call options on a stock at a particular strike price. The expectation is that the stock will go well above the strike price during the option period, allowing one to realize potentially huge profits in a short period of time (option period). Should the stock stay below the strike price, the call premium is lost. Value investors can apply this strategy with stocks that have a chance to go up significantly over a short period of time, should an anticipated event occur. For e.g., say the stock of a company, known to have a history of blowing past earnings expectation once every few quarters, is trading at $100. Research has narrowed down on the fact that the coming quarter is one of those quarters. In this situation, value investors can opt for long calls covering the quarterly report at a strike price of $100 for say $10. If the stock moves as expected to $130 immediately after the earnings release, the money invested have tripled. On the other hand, if the investor were to go long the same amount of shares at $100, the returns would have been just 30% following the quarter report and stock move.

Valuing Growth Stocks – Introduction to a Dividend Discount Based Model

The Dividend Discount Model is a conservative way of estimating the fair value of a mature dividend paying stock. The base formula requires using an estimated long-term dividend growth rate:

FV = D/(DR-LDGR)

FV – Fair Value,
D – Current Annual Dividend,
DR – Discount Rate – The weighted average cost of capital (WACC) is a good estimate for this number,
LDGR – Projected Long-term Dividend Growth Rate.

For growth stocks that are not paying a dividend currently, the model can still be used by making a few additional assumptions:
  • Discounting Period – period of expected growth phase of the company when no dividends are paid,
  • Projected Earnings Growth Rate – projected earnings growth during the discounting period,
  • Projected Dividend – projected initial dividend paid after the discounting period,
  • Long-term Projected Dividend Growth Rate – average dividend growth in perpetuity after the growth phase (discounting period when no dividends are paid).
The idea is to do a fair value estimate based on a future date when dividends will be initiated and discount that fair value back to the present period. The steps are:

  1. Project the length of the growth phase in years (discounting period when no dividends will be paid),
  2. Use the growth phase period along with a projected growth rate for that period to come up with an earnings number at the end of the growth phase,
  3. Project the first dividend amount – base it as a percentage of the earnings number above.
  4. Use a projected long-term dividend growth rate and the first dividend amount to come up with a fair value estimate at the end of the growth phase,
  5. Discount the fair value estimate at the end of the growth phase back to the current period.

Below is a look at a spreadsheet that uses these assumptions to get a Fair Value Estimate for Google (GOOG) stock:

The base parameters are:

  1. EPS – Current Earnings per Share (trailing-twelve-months). For Google, this is $29.33,
  2. DP – Discounting Period (Growth Phase Period) – for Google, we assume the company will start paying a dividend in 5 years - the growth phase (discounting period) is 5 years,
  3. GRn – Growth Rate during the discounting period – For Google, this is taken as 15%, a conservative estimate, given the current growth rate is 19.13%.
  4. LPDGR – Long-term Projected Dividend Growth Rate. For Google, we take this to be 8%. Well-run companies increase dividend at a double-digit pace in the initial years. So, this should be a good conservative figure.
  5. DR – Discount Rate – Weighted Average Cost of Capital – 9.79% for Google.

The calculated paremeters are:

PED – Projected Earnings after Discounting Period which can be calculated as:

PED = EPS*(1+GRn)^DP
         = 29.33*(1+0.15)^5
         = $58.99

PD – Projected Dividend after discounting period. For Google, we assume Google’s initial dividend will be one-fourth of the earnings after 5 years.

PD = PED * 0.25
      = 58.99 * 0.25
      = $14.75

FVn – Fair Value at the end of the discounting period. This gives what the fair value of a company will be after the discounting period. For Google, since we are assuming Google will start paying a dividend after 5 years, the number gives an estimate for the fair value of Google 5 years from now. The value uses the basic Dividend Discount Model formula:

FVn = PD/(DR-LPDGR)
        = 14.75/(0.0979-0.08)
        = $823.93

FV – Fair Value – Dividend Discount Model. To get the current fair value, we discount the fair value at the end of the growth phase (discounting period) back to the present period:

FV = FVn/(1+DR)^DP
      = 823.93/(1+0.0979)^5
      = $516.50

The valuation comes to $516.50, which is somewhat below the current stock price. So, the stock is not a Buy.

One limitation with the formula is that estimates for the discounting period, initial dividend, and the long-term projected dividend growth rate are educated guesses. Minor changes to the long-term projected dividend growth rate, initial dividend, and discounting period can cause big changes in the estimated fair value. For example, taking a long-term projected dividend growth rate of 7% instead of 8% will result in a fair value estimate of $331.38. On the other hand, taking the rate to be 9% will result in a fair value estimate of $1170.31.


Analysis of Google's 3rd Quarter Report and Fair Value Estimates

The Q3 2011 earnings call kicked off with Larry Page, Google's (GOOG) co-founder and CEO categorizing it as a "gangbuster quarter". The year-over-year numbers are phenomenal for such a huge company with 33% revenue growth and 24% GAAP earnings growth. Read More at Seeking Alpha...


Introduction to fair value estimates for our stock reviews

Based on reader feedback, we are incorporating fair value estimates for our future stock reviews. This is an introductory article to help readers understand the models involved.
The popular models of estimating fair value of a stock include:
  1. PEG Based Model,
  2. Benjamin Graham Model, 
  3. Graham Number Based Model, 
  4. Discounted Cash Flow Based Model, and
  5. Dividend Discount Model.
We introduce the models and calculate the fair value of a stock from our watch-list, Darden’s Restaurants (DRI). The spreadsheet below shows some key data points required for the models with the figures for DRI incorporated:




DRI valuation using PEG Based Model:

PEG (Price to Earnings to Growth) ratio is a metric introduced by Peter Lynch in his 1989 book One Up on Wall Street. A stock is stated to be fairly valued if that ratio is equal to 1. The ratio as introduced in the book has many limitations:
  • The formula does not make clear what earnings number to use – projected or trailing.
  • The formula does not make clear what growth rate to use – expected 1-year, projected 5-year average, etc.
  • Dividends are not accounted for.
A fair value equation derived from the PEG ratio that addresses some of the limitations of the original formula is below:

FV = (GR + (2*DY)) * EPS
FV – Fair Value.
EPS – Earnings per Share (Trailing Twelve Month).
CGR – Current Growth Rate.
DY –Dividend Yield (current year).

Applying the formula to DRI, we get:
FV = (8.77 + (2 * 3.52)) * 3.39 = $53.59

The stock trades at $48.84 which is ~10% below the fair value estimated and so is a Buy.

DRI valuation using Benjamin Graham Model:

This model uses a formula that was first presented in the seminal book on stock investment, “The Intelligent Investor” in 1962 and revised in 1974. It calculates the intrinsic value of a stock using market-related and company specific variables but without using an interest rate factor. As such, the formula is very simple:

FV = (EPS * (8.5 + (2*GR10)) *4.4)/CBY
FV – Fair Value.
EPS – Earnings per Share (Trailing Twelve Month).
GR10 – Projected 7-10 year earnings growth rate.
CBY – Corporate Bond Yield (current yield of AAA corporate bonds).

Applying the formula to DRI, we get:
FV = (3.39 * (8.5 + (2*7))*4.4)/3.99 = $84.11
 
The stock trades at $48.84 which is well below the fair value estimated and so is a Buy.
One limitation of the model is the dependency on the seven to ten year projected earnings growth rate, which can be hard to accurately predict. In our example, DRI grew earnings at an 8.77% rate in the last 5-years and so we conservatively used a slightly lower rate – as a mid-cap stock, the company has room to grow and there is scope for international expansion as well - so, our estimate is fairly conservative.

DRI valuation using Graham Number Based Model:

 Graham Number Based Model is an estimate that indicates the maximum price that a value investor should pay for a particular investment. It is a good general test to identify investments that are selling for a good price. The formula is:

EPS = Earnings Per Share
BVPS = Book Value Per Share
MFV = Maximum Fair Value

MFV = SQRT(22.5 * EPS * BVPS)

Applying the formula to DRI, we get:

MFV = SQRT(22.5 * 3.39 * 13.38) = $32.53.

The stock is trading well above this number and so is a Sell. Although, the formula looks random, there is a method to the madness: the 22.5 comes from the belief that PE ratio should not be over 15 and the price to book ratio should not be over 1.5 (15 * 1.5 = 22.5). The main limitation of the model is that it gives no weightage at all for such fundamentally important characteristics of an investment such as the growth rates.

DRI valuation using Discounted Cash Flow (DCF) Based Model:

DCF model uses estimated future income projections and discounts them to arrive at a fair present value for an investment. For stocks, the income projections can be the free cash flow, earnings per share, or the dividends paid. Discounting requires using a rate that can be earned on an investment in the financial markets with similar risk – weighted average cost of capital (WACC) is a good measure for this rate. The formula is:

FV = FE*(1+GR5)^1/(1+DR)^1 + FE*(1+GR5)^2/(1+DR)^2 +…+ FE*(1+GR5)^n/(1+DR)^n
FV = Fair Value.
FE = Forward Earnings per Share (Next Twelve Months).
GR5 = Projected 5-year earnings growth rate.
DR = Discount Rate (Weighted Average Cost of Capital – WACC).

For most stocks, n is an unknown and so a terminal value is used after the first 5-years of discounting. The most common method to estimate terminal value of stocks is to use the Gordon Growth Model that uses a long-term growth rate for perpetuity. The formula is:

TV = FE*(1+GR5)^5*(1+LGR)/(DR - LGR)
PTV = TV/(1+DR)^5
TV = Terminal Value.
PTV = Present Value of Terminal Value
LGR = Long-term growth rate (perpetuity).
The altered formula is:
FV = FE*(1+GR5)^1/(1+DR)^1 +…+ FE*(1+GR5)^5/(1+DR)^5+ FE*(1+GR5)^5*(1+LGR)/(DR - LGR)*1/(1+GR5)^5
= PV1+PV2+PV3+PV4+PV5+PTV
PV1..5 = Present value of income projections from year 1 through 5.

Applying the formula to DRI, we get:

FV = PV1+PV2+PV3+PV4+PV5+PTV
= 3.88+3.88+3.89+3.89+3.90+67.80
= $87.23
 
The stock trades at $48.84 which is almost 50% below the fair value estimated and so is a Buy.

DRI valuation using the Dividend Discount Model:

Dividend Discount Model is a conservative variation of the DCF model that is based on the idea that a stock is worth the discounted sum of all its future dividend payments. Discounting requires using a rate that can be earned on an investment in the financial markets with similar risk – weighted average cost of capital (WACC) is a good measure for this rate. Also, the calculation requires a value for the long-term dividend growth rate. As such, the model is suitable for steady dividend paying stocks. The basic formula applicable to dividend paying stocks is:

FV = D/(DR-LGDR)

FV - Fair Value
D - Dividend
DR - Discount Rate
LGDR - Long-term Dividend Growth Rate

Applying the formula to DRI, we get:
FV = 1.72/(0.0786-0.04) = $44.56

The stock trades at $44.56 which is above the fair value estimated and so is not a Buy.

For stocks that pay no dividends, additional assumptions about when a dividend will be initiated, growth rate of such dividends, and discounting back to a present value is required to get a value. A variation of the Dividend Discount Model Formula can be used for the purpose (click for details on applying dividend discount model to growth stocks).

As one would notice, the four models can give very different figures. So, it is important to understand the assumptions made and the likelihood for the assumptions to become reality. The difference between the fair value estimate and the current stock price represents a margin of safety. When making a decision to Buy or Sell a security, these numbers do not give exact answers but can act as data points to consider.

Last Updated: 03/2012.

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