1 Defining, Measuring & Defending Discounts for Lack of Liquidity © Ashok Abbott, presentation created in collaboration with BVR A Teleconference from Business Valuation Resources 1-888-BUS-VALU (287-8258) www.bvresources.com info@bvresources.com April 25, 2007 Moderator: Shannon Pratt, CFA, FASA, MCBA, CM&AA, of Shannon Pratt Valuations, LLC Panelists: Ashok Abbott, M.B.A., Ph.D. of Business Valuation, LLC Rob Schlegel, ASA, MCBA of Houlihan Valuation Advisors Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 2 Ancillary Reading Materials • Defining, Measuring & Defending Discounts for Lack of Liquidity PDF and PowerPoint Presentation • Does the ‘Myth of Liquidity’ Lead to Incorrect Discounts? special report from the December 2006 Business Valuation Update • Full court decisions and Business Valuation Update abstracts for related tax cases listed on slides 62 & 63 (abstract and decision not available for Barnes v. Commissioner and abstract not available for Estate of Berg v. Commissioner) • All downloads and links available at the BVR Teleconference pre-conference reading page: http://www.bvresources.com/defaulttextonly.asp?f=tcreading042507 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 3 Learning Objectives • Learn the distinguishing features between liquidity and marketability • Learn how to measure discounts for lack of liquidity and the cost of going public • Learn how to apply our model using recent court cases • Understand how to utilize this area’s new research in your practice Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 4 Submitting Questions • Email tc-questions@bvresources.com at any time during the Teleconference • The final 20-30 minutes is dedicated to telephone questions; the conference operator will announce Q&A time and provide instructions on how to join the queue Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 5 Introduction Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 6 Introduction • Traditionally, appraisers have cited studies of pre-initial public offering and restricted stock to conclude discounts for lack of marketability in the 2050% range • Over the last three years, the Tax Court has rejected discounts for lack of marketability based on the average discount found in restricted stock studies • The latest rejection of the Quantitative Marketability Discount Model (QMDM) was in the Estate of Temple (March 2006) • There is a trend towards courts rejecting averages, and requiring specific transactions that are as close as possible to the subject company, and specific evidence of similar characteristics Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 7 Levels of Value $12.00 per share Synergistic (Strategic) Value $10.00 per share Value of control shares $8.00 per share “Publicly traded equivalent value” or “Stock Market value” of minority shares if freely traded $6.00 per share Value of restricted stock of public company $4.40 per share Value of non-marketable minority (lack of control) shares 20% strategic acquisition premium 20% minority interest discount; 25% control premium A combined 20% discount and a 45% discount for lack of marketability equals a total of 56% discount from value of control shares 45% total discount for lack of marketability (25% + 20% may be taken additively) 25% discount for lack of marketability for restricted stock Additional 20% discount for private company stock (taken from publicly traded equivalent value $8 per share) Control Premium Minority Discount Discount for restricted stock of public company Additional discount for private company stock Notes: · Control shares in a privately held company may also be subject to some discount for lack of marketability, but usually not nearly as much as minority shares. · Minority and marketability discounts normally are multiplicative rather than additive. That is, they are taken in sequence: $10.00 Control Value - 2.00 Less: Minority interest discount (.20 x $10.00) $ 8.00 Marketable minority value - 3.60 Less lack of Marketability discount (.45 x 8.00) $ 4.40 Per-share value of non-marketable minority shares Source: Guide to Business Valuations, Exhibit 8.8; it also appears in Standards of Value: Theory and Applications by Jay Fishman, Shannon Pratt and William Morrison, page 132 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 8 Discount Landscape • Subjective discounts are not acceptable • Courts have clearly indicated that they are looking for firm specific measures, supported by clear, relevant, empirical analysis • Scientific method is required to identify and substantiate discounts Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 9 Core Concepts • Marketability • Liquidity • Holding period • Liquidation period • Price pressure • Price risk/volatility Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 10 Formal Definitions • Marketability versus liquidity: ASA definitions adopted July 2004 • Marketability: The capability and ease of transfer or salability of an asset, business, business ownership interest or security • Liquidity: The ability to readily convert an asset, business, business ownership interest or security into cash without significant loss of principal Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 11 Marketability & Liquidity: What’s the Difference? • Marketability denotes the right to sell an asset in an established and efficient capital market (public or private), within a reasonable time, with relatively low transaction costs, and with minimal effect on that security’s public market price • Liquidity denotes the ability to convert an asset into cash without diminishing its value; liquidity is a spectrum • A block with high liquidity will have low transaction costs, a short liquidation period and minimal discounts (e.g., bid-ask spread) • A block with low liquidity will have opposite characteristics Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 12 Marketability • Registered stock in an Exchange-listed publicly traded firm • Registered stock in an Exchange-listed publicly traded firm subject to Reg. 144 restrictions • Unregistered stock in an Exchange-listed publicly traded firm • Unregistered stock in a closely held unlisted large firm (potential to go public) • Unregistered stock in a closely held unlisted small firm Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 13 Liquidity Differences within Marketability Classes • Liquidity can differ significantly within each marketability class, based on the attributes of the asset • A significant block of Dow Jones Industrial Average included firm can be liquidated relatively easily, while stock of a small over the counter (OTC) firm may find few buyers in the short run without offering significant discounts Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 14 Publicly Traded Equivalent Value Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 15 Publicly Traded Equivalent Value • Capital Asset Pricing Model (CAPM), Ibbottson premiums, or build-up rates using capital market proxies (e.g., small stock premium) provide an estimate of the publicly traded equivalent value (“PTEV”) of a privately held company Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 16 Liquidity Assumptions of the Publicly Traded Equivalent Value Finance literature recognizes four dimensions of liquidity: • Width (availability of a large number of buyers) • Depth (ability to absorb large volume) • Immediacy (ability to complete the transaction quickly) • Resiliency (absorbing large volume of trades without moving the price) Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 17 Core Issue in Liquidity: Immediacy • Assumption: Market orders have immediate execution • Reality: Small at-the-market transactions of high trading volume public securities approach immediate execution • Large block transactions of thinly traded public securities are likely to occur off the floor or may need to dribble out • Even for actively traded shares, orders for above 10,000 shares may not be subject to the current bid-ask quote • Either way, a substantial delay and blockage discount may be relevant Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 18 Effect of Liquidity on Security Pricing & Returns • Research shows significant difference between returns on liquid and illiquid publicly traded securities: • Brennan and Subrahmanyam (1996) show the return difference of the most liquid and least liquid shares on the New York Stock Exchange is 6.62% per year • This difference roughly translates to a discount for lack of liquidity (DLOL) of 35.5% Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 19 Bid-ask Spread & Liquidity • Amihud and Mendelson (1986) demonstrate that stocks with higher bid-ask spreads have longer holding periods, thus lower trading activity • Stoll (1978) and Stoll (2000) suggest that trading activity plays an important role in explaining the cross-sectional variation in bid-ask spreads Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 20 Recent Changes in Market Liquidity • Difference between liquidity of large market cap stocks and small market cap stocks has increased • The holding period for SEC Rule 144 securities has been reduced from two years to one year • Bid and ask spreads have declined with the change from fraction-of-a-dollar prices to decimal prices • Overall market trading volume has gone up several-fold in recent years; this is partly attributable to program trading strategies Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 21 Changes in Market Liquidity & Private Companies Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 22 Changes in Market Liquidity & Private Companies • Minority interests in private companies have not benefited from the increased liquidity in the public markets • Consequently, the value difference between closely held minority interests and their assumed publicly traded counterparts has widened in recent years • SEC empirical studies covered larger publicly traded firms during years in which the public markets were less liquid; these studies may understate the actual discount for lack of marketability and ignore the potential discount for lack of liquidity for smaller firms Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 23 Market Profile : Large Stocks Average market Capitalization $22,856 Million Variable Mean Std Dev t Pr > |t| No Trade days 0.09% 3.03% 48.5 0.0001 Bid ask spread 3.24% 3.82% 1357.92 0.0001 Cost to trade* 0.49% 142.36% 5.48 0.0001 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 24 Market Profile: Small Stocks Average market Capitalization $17.70 Million Variable Mean Std Dev t Pr > |t| No Trade days 23.88% 42.63% 848.32 0.0001 Bid ask spread 13.78% 14.40% 1449.00 0.0001 Cost to trade* 10.45% 13.47% 1174.67 0.0001 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 25 Security Markets Liquidity Differences Between Small and Large Stocks • There are significant differences among publicly traded firms of different sizes • Among the smaller stocks, 24% do not trade at all on a given day • The observed bid-ask spread is around 14% • The measured cost of trading for small lots for smaller firms is around 10% • Largest firms are much more liquid, have lower spreads and are less costly to trade Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 26 Holding Period Vs. Liquidation Period Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 27 Holding Period • Holding period is discretionary • Investors elect to hold an asset for a certain period based on their investment preferences and expected returns Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 28 Liquidation Period • Liquidation period is determined by the prevailing market conditions • Liquidation period the time needed to liquidate a position in a manner that minimizes the total cost of the price pressure and price risk faced by the seller in response to the market availability of buyers and sellers Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 29 Discount for Lack of Liquidity Function of Liquidation Period • Discount for lack of liquidity is tied to the anticipated liquidation period, not the discretionary holding period • A willing buyer will demand a discount to acquire an asset that cannot be liquidated immediately • An existing owner will be willing to discount the asset only to the extent of the anticipated loss of value during the liquidation period Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 30 Mean Liquidation Period: Small Firms Mean Liquidation Period ( Months) for Small Firms 250 200 150 MLP 100 50 05 20 04 20 03 20 02 20 01 20 00 20 99 19 98 19 97 19 96 19 95 19 94 19 19 93 0 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 31 Mean Liquidation Period: Large Firms Mean Liquidation Period(Months) for Large Firms 140 120 80 MLP 60 40 20 05 20 04 20 03 20 02 20 01 20 00 20 99 19 98 19 97 19 96 19 95 19 94 19 93 0 19 Liquidation Period (Months) 100 Time Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 32 Price Pressure • Bid-ask spread • Listing price (ask) • Selling price (bid) • Liquidity can be stimulated by applying price pressure • Selling pressure results in lower bid price • Buying demand results in higher ask price Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 33 Market Failure • Frequently the price impact particularly for small firms or large blocks of large firms, is severe enough to result in a market failure • Sellers are not willing to sell at the offered low bid price • Buyers are not willing to buy at the high ask price • In such cases an orderly liquidation or dribble out is appropriate • Market failure is not a concept in appraisals because we have to state a given value on a specific date (there are no reserve bids) Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 34 Price Risk • Orderly liquidation exposes the holder to price risk • Longer liquidation period for volatile assets creates loss of ability to sell at favorable prices • Regulatory restraints (e.g.,Reg. 144) can require long liquidation periods Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 35 Marketability Discount Approaches Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 36 Marketability Discount Approaches Empirical Studies • IPO studies • Restricted stock studies Theoretical/Quantitative Models: • Mercer’s QMDM Model • (Adaptation of Discounted Cash Flow model incorporating an assumed liquidity horizon) Option Pricing Models: • Black Scholes Put option • Look back Put option Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 37 Empirical Studies IPO Studies: • New issue hype • Data based on insider transactions • Unpublished studies with noisy data • Does not address liquidity, only marketability • Lack of adequate analysis in the valuation report Restricted Stock Studies: • Limited and defined holding period • Established public market • Transparent financial disclosure • May or may not address liquidity Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 38 Quantitative Marketability Discount Model • Discounted Cash Flow model • Depends on holding period • Required rate of return • Growth rate • Assumptions influence results Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 39 Is Bajaj Right? • Marketability or liquidity? • Pricing marketability assuming liquidity Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 40 Put Option Based Models • Black-Scholes Put • Factors • Time to maturity • Variance of returns • Risk-free rate • Exercise Price • Asset price Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 41 Look Back Put Measures price risk during period of liquidation • Ultimate no regret contract • Estimation requires two parameters • Liquidation period • Volatility Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 42 Issues for Consideration Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 43 Issues for Consideration • Two components of the discount • DLOM: the cost of going public • DLOL: the cost of illiquidity (blockage) • Liquidation period • Price risk Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 44 Abbott Index: Cost of IPO and DLOL Cost of IPO (Discount for lack of marketability) Discount for lack of marketability & liquidity Discount for lack of liquidity Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 45 Marketability: Cost of IPO Identify determinants of IPO cost (based on the characteristics of the subject firm): • Size of the firm • Size of the block • Capital market conditions/liquidity/capacity of market to absorb Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 46 Qualitative Costs of an IPO • The IPO is a costly and risky approaches to raising capital • Significant expenses are incurred with no assurance that the IPO will be successful • It is not uncommon for changing market conditions to cause underwriters to cancel the IPO at the eleventh hour • Insiders/affiliates are subject to significant holding period requirements under SEC Rule 144 and/or underwriter restrictions • Insiders/affiliates are subject to significant trading restrictions based on SEC/company restrictions on trading during blackout time periods Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 47 Reported Costs of an IPO SDC Platinum IPO data (1993-2003) used to estimate the cost of going public: • Large sample size analyzed - 7,824 IPO’s • IPO costs documented as Accounting fees and expenses: • Legal fees and expenses • Underwriting fees • Financial advisor fees Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 48 IPO Sample Results IPO costs observed (as a percentage of IPO proceeds): • 6.05% Trimmed mean • 6.00% Trimmed median • 0.42% Trimmed minimum • 11.20% Trimmed maximum • 1.79% Standard deviation Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 49 IPO Costs: Explanatory Factors • IPO costs, as a percentage of the offering proceeds, decline with increasing values for: • Issuing firm size • Total offering size • Percentage Firm ownership offered in IPO • Observed market liquidity Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 50 Regression Results: IPO Costs Percentage Cost of IPO: • 4.305% + variable based on total market capitalization rank • Analysis is broken into deciles based on total market capitalization Total market capitalization variables: • 5.663% - total market capitalization rank = 0) • 4.898% - total market capitalization rank = 1) • 3.769% - total market capitalization rank = 2) • 3.051% - total market capitalization rank = 3) • 2.695% - total market capitalization rank = 4) • 2.453% - total market capitalization rank = 5) Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 51 Regression Results: IPO Costs Total market capitalization variables (continued): • 2.083% - total market capitalization rank = 6) • 1.677% - total market capitalization rank = 7) • 1.100% - total market capitalization rank = 8) • 0.000% - total market capitalization rank = 9) Other variables: • -3.311% x market liquidity for capitalization size category = • -0.00593 x percentage of firm offered • -0.00014 x amount of offering in millions of dollars Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 52 Average Market Capitalization for Decile Rankings • Rank 0 = $17.7 million • Rank 1 = $48.7 million • Rank 2 = $100.0 million • Rank 3 = $153.0 million • Rank 4 = $247.7 million • Rank 5 = $412.6 million • Rank 6 = $717.0 million • Rank 7 = $1,295.5 million • Rank 8 = $2,837.8 million • Rank 9 = $22,856.2 million Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 53 Cost of IPO: Example • Total PTEV of equity of company is $180 million • Subject block is 25% of total outstanding shares • $45 million in PTEV • Market capitalization decile is rank 3 • Market liquidity for capital size category 3 = 0.0656 • Cost of IPO equation: 4.305% + 3.051% + (-3.311% x 0.0656) + (-0.00593 x 25.0%) + (-0.00014 x 45) = 6.795% • Total discount for lack of marketability = 6.795% Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 54 Cost of Liquidity: Discount for Lack of Liquidity Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 55 Cost of Liquidity: Discount for Lack Of Liquidity • Identify determinants of liquidity (based on the characteristics of the appropriate publicly traded guideline companies): • Stock trading volume • Stock price volatility • Estimated liquidation holding period (a function of trading volume and price volatility) • Develop an objective and statistically supportable metric for estimating risk exposure and the liquidation holding period Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 56 Longstaff Look Back Put Longstaff 1995 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 57 Block Size and DLOL Discount for Lack of Liquidity 30.00% 25.00% Block 5% 15.00% Block 10% Block 20% 10.00% 5.00% 05 20 04 20 03 20 02 20 01 20 00 20 99 19 98 19 97 19 96 19 95 19 94 19 93 0.00% 19 Discount Percentage 20.00% Time Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 58 Large-Firm DLOL Estimation Discount for Lack of Liquidity for Large Firms 16.00% 14.00% 10.00% 5% Block 8.00% 10% Block 20% Block 6.00% 4.00% 2.00% 03 20 98 19 93 0.00% 19 Discount Percentage 12.00% Time Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 59 Small Firm DLOL Estimation Discount for Lack of Liquidity for Small Firms 60.00% 50.00% 5% Block 30.00% 10% Block 20% Block 20.00% 10.00% 20 05 20 04 20 03 20 02 20 01 20 00 19 99 19 98 19 97 19 96 19 95 19 94 0.00% 19 93 Discount Percentage 40.00% Time Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 60 Applying the Theories Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 61 Applying the Theories • One size does not fit all • Blanket approaches using historical averages are not sustainable • Case-specific analysis needed Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 62 Tax Cases Phase I • Estate of Berg v. Commissioner • Mandelbaum v. Commissioner • Barnes v. Commissioner • Estate of Davis v. Commissioner • Furman v. Commissioner • Estate of Hendrickson v. Commissioner • Estate of Weinberg v. Commissioner • Knight v. Commissioner Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 63 Tax Cases Phase II • Gross v. Commissioner • Lappo v. Commissioner • McCord v. Commissioner • Okerlund v. United States • Peracchio v. Commissioner • Thompson, Estate of Josephine, v. Commissioner • Temple v. United States 2006 Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 64 Where Do We Go From Here? • Develop testable models • Empirically validate models • Apply these models to case-specific situations Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 65 Questions? • Email tc-questions@bvresources.com at any time during the Teleconference • The conference operator will provide instructions on how to ask live questions Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 66 Thank You for Attending! • Visit www.bvresources.com/conferences for a schedule of exciting upcoming sessions, as always, Teleconferences are good for two CPE credits • May 2nd, 409a Compliance featuring Bob Duffy, Scott Beauchene and Joel Johnson • May 23rd, Playing and Prospering By the New Valuation Rules featuring Al King and Matt Crow • May 24th, Overview of Buy-Sell Agreements (part 1 of 3) featuring Chris Mercer • May 31st, Lost Profit Damages featuring Nancy Fannon, Robert Gray and Thomas Burrage • June 14th, Application of Buy-Sell Agreements (part 2 of 3) featuring Chris Mercer • June 26th, Recruiting in the BV Profession featuring Jim Alerding, Megan Nail and Ron Seigneur • June 28th, ESOP Valuation featuring moderator Robert Reilly • July 19th, Buy-Sell Agreements and Valuation Related Issues (part 3 of 3) featuring Chris Mercer • July 25th, Electronic Discovery featuring Ron Seigneur, Melinda Harper and Shari Lutz Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity 67 CPE Credits • All BVR Teleconferences are worth two interactive CPE credits • Be sure to complete the post-conference survey within five business days: http://www.bvresources.com/defaulttextonly.asp?f=tcsurvey042507 • You should receive your CPE certificate via email within one week Business Valuation Resources 1000 SW Broadway, Ste. 1200, Portland, OR 97205 1-888-BUS-VALU (287-8258) / Fax: 503-291-7955 www.bvresources.com info@bvresources.com Business Valuation Resources Teleconference April 25th, 2007 – Defining, Measuring & Defending Discounts for Lack of Liquidity