Second Quarter 2015: Hotel Deals Are Getting Harder to Pencil Out

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Cornell University School of Hotel Administration The Scholarly Commons Cornell Real Estate Market Indices Center for Real Estate and Finance 7-215 Second Quarter 215: Hotel Deals Are Getting Harder to Pencil Out Crocker H. Liu Cornell University School of Hotel Administration, chl62@cornell.edu Adam D. Nowak West Virginia University Robert M. White Jr Follow this and additional works at: http://scholarship.sha.cornell.edu/cremi Part of the Real Estate Commons Recommended Citation Liu, C. H., Nowak, A. D., & White, R. M. (215). Cornell Hotel Indices: Second quarter 215: hotel deals are getting harder to pencil out [Electronic article]. Center for Real Estate and Finance Reports Hotel Indices, 4(3), 1-19. This Article is brought to you for free and open access by the Center for Real Estate and Finance at The Scholarly Commons. It has been accepted for inclusion in Cornell Real Estate Market Indices by an authorized administrator of The Scholarly Commons. For more information, please contact hlmdigital@cornell.edu.

Second Quarter 215: Hotel Deals Are Getting Harder to Pencil Out Abstract Hotel Investment based on operating performance has turned red. Our Economic Value Added (EVA) indicator shown in Exhibit 1 has turned negative, declining from -.6% (near zero; breakeven) to -1.8% in 214Q1. What is more alarming is that the hotel cap rate (5.7%) is approximately equal to the cost of debt financing (5.6%) for hotels financed by large life insurance companies, as shown in Exhibit 2. Intuitively, the cap rate represents the return on hotel properties assuming all-equity financing. The use of debt financing is used to magnify the return to hotel properties. For positive leverage (return magnification) to occur, the cap rate should exceed the cost of debt financing, meaning that your return should be greater than your borrowing cost. We will show that the current situation arises because of cap rate compression (a decline in the cap rate) due to a rise in hotel prices. In summary, what these two exhibits suggest is that financial feasibility is becoming more tenuous and investors are having a harder time getting a potential hotel investment to pencil out. Keywords Cornell, real estate, hotel prices, Standardarized Unexpected Price (SUP), HOTVaL Disciplines Real Estate Comments Required Publisher Statement Cornell University. This report may not be reproduced or distributed without the express permission of the publisher. Supplemental File: Hotel Valuation Model (HOTVAL) We provide this user friendly hotel valuation model in an excel spreadsheet entitled HOTVAL Toolkit as a complement to this report which is available for download from http://scholarship.sha.cornell.edu/creftools/1/ This article is available at The Scholarly Commons: http://scholarship.sha.cornell.edu/cremi/15

CORNELL CENTER FOR REAL ESTATE AND FINANCE REPORT Cornell Hotel Indices: Second Quarter 215: Hotel Deals Are Getting Harder to Pencil Out by Crocker H. Liu, Adam D. Nowak, and Robert M. White, Jr. EXECUTIVE SUMMARY Hotel deals appear to be getting harder to pencil out, given cap rate compression to the point where cap rates are almost similar to the borrowing cost of debt financing a situation that makes positive leverage more difficult to achieve. The primary driver underlying the decline in cap rates is the price of large and small hotels reaching new statistically significant highs based on our Standardized Unexpected Price (SUP) metric. We do not expect this level of price frothiness to be sustainable. All three forward looking indicators suggest that the price of large hotel properties should decline. However, prices for small hotel properties should continue to rise in the next quarter. This is report number 15 of the index series. CREF Hotel Indices July 215 www.cref.cornell.edu Volume 4, Number 3 1

ABOUT THE AUTHORS Crocker H. Liu, Ph.D., is a professor of real estate at the School of Hotel Administration at Cornell where he holds the Robert A. Beck Professor of Hospitality Financial Management. He previously taught at New York University s Stern School of Business (1988-26) and at Arizona State University s W.P. Carey School of Business (26-29) where he held the McCord Chair. His research interests are focused on issues in real estate finance, particularly topics related to agency, corporate governance, organizational forms, market efficiency and valuation. Liu s research has been published in the Review of Financial Studies, Journal of Financial Economics, Journal of Business, Journal of Financial and Quantitative Analysis, Journal of Law and Economics, Journal of Financial Markets, Journal of Corporate Finance, Review of Finance, Real Estate Economics, Regional Science and Urban Economics, Journal of Real Estate Research and the Journal of Real Estate Finance and Economics. He is the former co-editor of Real Estate Economics, the leading real estate academic journal and is on the editorial board of the Journal of Property Research. He also previously served on the editorial boards of the Journal of Real Estate Finance and Economics and the Journal of Real Estate Finance. Liu earned his BBA in real estate and finance from the University of Hawaii, an M.S. in real estate from Wisconsin under Dr. James Graaskamp, and a Ph.D. in finance and real estate from the University of Texas under Dr. Vijay Bawa. Adam D. Nowak, Ph.D., is an assistant professor of economics at West Virginia University. He earned degrees in mathematics and economics at Indiana University Bloomington in 26 and a degree in near-east languages and cultures that same year. He received a Ph.D. from Arizona State University last May. Nowak taught an introduction to macroeconomics course and a survey of international economics at Arizona State. He was the research analyst in charge of constructing residential and commercial real estate indices for the Center for Real Estate Theory and Practice at Arizona State University. Nowak s research has been published in the Journal of Real Estate Research. Robert M. White, Jr., CRE, is the founder and president of Real Capital Analytics Inc., an international research firm that publishes the Capital Trends Monthly. Real Capital Analytics provides real time data concerning the capital markets for commercial real estate and the values of commercial properties. Mr. White is a noted authority on the real estate capital markets with credits in the Wall Street Journal, Barron s, The Economist, Forbes, New York Times, Financial Times, among others. He is the 214 recipient of the James D. Landauer/John R. White Award given by The Counselors of Real Estate. In addition, he was named one of National Real Estate Investor Magazine s Ten to Watch in 25, Institutional Investor s 2 Rising Stars of Real Estate in 26, and Real Estate Forum s 1 CEOs to Watch in 27. Previously, Mr. White spent 14 years in the real estate investment banking and brokerage industry and has orchestrated billions of commercial sales, acquisitions and recapitalizations. He was formerly a managing director and principal of Granite Partners LLC and spent nine years with Eastdil Realty in New York and London. Mr. White is a Counselor of Real Estate, a Fellow of the Royal Institution of Chartered Surveyors and a Fellow of the Homer Hoyt Institute. He is also a member of numerous industry organizations and a supporter of academic studies. Mr. White is a graduate of the McIntire School of Commerce at the University of Virginia. Acknowledgments We wish to thank Glenn Withiam for copy editing this paper. Disclaimer The Cornell hotel indices produced by The Center for Real Estate and Finance at the School of Hotel Administration at Cornell University are provided as a free service to academics and practitioners on an as-is, best-effort basis with no warranties or claims regarding its usefulness. 2 The Center for Real Estate and Finance Cornell University

CORNELL CENTER FOR REAL ESTATE AND FINANCE REPORT Cornell Hotel Indices: Second Quarter 215: Hotel Deals Are Getting Harder to Pencil Out by Crocker H. Liu, Adam D. Nowak, and Robert M. White, Jr. Analysis of Indices through Q2, 215 Hotel Investment based on operating performance has turned red. Our Economic Value Added (EVA) indicator shown in Exhibit 1 has turned negative, declining from -.6% (near zero; breakeven) to -1.8% in 214Q1. What is more alarming is that the hotel cap rate (5.7%) is approximately equal to the cost of debt financing (5.6%) for hotels financed by large life insurance companies, as shown in Exhibit 2. Intuitively, the cap rate represents the return on hotel properties assuming all-equity financing. The use of debt financing is used to magnify the return to hotel properties. For positive leverage (return magnification) to occur, the cap rate should exceed the cost of debt financing, meaning that your return should be greater than your borrowing cost. We will show that the current situation arises because of cap rate compression (a decline in the cap rate) due to a rise in hotel prices. In summary, what these two exhibits suggest is that financial feasibility is becoming more tenuous and investors are having a harder time getting a potential hotel investment to pencil out. Hotel transaction volume declined year over year, but median price increased. The total volume of all hotel transactions (both large hotels and small hotels combined) rose in the second quarter from the previous quarter, About the Cornell Hotel Indices In our inaugural issue of the Cornell Hotel Index series, we introduced three new quarterly metrics to monitor real estate activity in the hotel market. These are a large hotel index (hotel transactions of $1 million or more), a small hotel index (hotels under $1 million), and a repeat sales index (RSI) that tracks actual hotel transactions. These indices are constructed using the CoStar and Real Capital Analytics (RCA) commercial real estate databases. For the repeat-sale index, we compare the sales and resales of the same hotel over time. All three measures provide a more accurate representation of the current hotel real estate market conditions than does reporting average transaction prices, because the average-price index doesn t account for differences in the quality of the hotels, which also is averaged. A more detailed description of these indices is found in the first edition of this series, Cornell Real Estate Market Indices, which is available at no charge from the Cornell Center for Real Estate and Finance (CREF). In this fourth edition, we present updates and revisions to our three hotel indices along with commentary and supporting evidence from the real estate market. CREF Hotel Indices July 215 www.cref.cornell.edu 3

Exhibit 1 Economic value added (EVA) for hotels.6 E V A S p r e a d ( R O I C W A C C ).4.2 -.2 -.4 -.6 Sources: ACLI, Cornell Center for Real Estate and Finance, NAREIT, Federal Reserve Exhibit 2 Return on investment capital versus cost of debt financing.3 R O I C a n d C o s t o f D e b t.25.2.15.1.5 ROIC Cost of Debt 215Q1 ROIC: 5.7% Cost of Debt: 5.6% Sources: ACLI, Cornell Center for Real Estate and Finance 4 The Center for Real Estate and Finance Cornell University

Exhibit 3 Median sale price and number of sales for high-price hotels (sale prices of $1 million or more) 14 $8 Number of transactions Median sale price 12 7 Number of transactions 1 8 6 4 6 5 4 3 2 Median sale price ($millions) 2 1 Sources: CoStar, Real Capital Analytics Exhibit 4 Median sale price and number of sales for low-price hotels (sale prices of less than $1 million) 3 Number of transactions Median sale price $4.5 4. 25 3.5 2 3. Number of transactions 15 1 2.5 2. 1.5 Median sale price ($millions) 1. 5.5 Sources: CoStar, Real Capital Analytics CREF Hotel Indices July 215 www.cref.cornell.edu 5

Exhibit 5 Hotel indices through 215, quarter 2 6 The Center for Real Estate and Finance Cornell University

Exhibit 6 Comparison of hotel real estate cycles using repeat sales 17 16 15 14 RSI Index 13 12 11 1 9 Note: Correlation coefficient (r) =.97. 23Q1 21Q2 21Q3 Present 8 Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics increasing 5.1% (215Q1 to 215Q2) compared to a 18.2% (214Q4 to 215Q1) decline in the earlier quarter. On a year-over-year basis, however, the hotel transaction volume declined 16.5% (214Q2 to 215Q2) compared to a 48.4% increase in the prior period (213Q2 to 214Q2). With respect to large versus small hotels, the volume of large hotel transactions rose 6.2% while small hotel transaction volume rose 4.6% from the previous quarter. On a year-over-year basis, the transaction volume for large hotels rose 1.2%, while small hotel transaction volume declined 22.8%. Consistent with transaction volume, the median price for large hotels rose 4.6% on a year-over-year basis. In contrast, even though the median price for small hotels also rose, increasing 23.7%, small hotels experienced lower transaction volume on a year-over-year basis. On a quarter-over-quarter basis, large hotels experienced a 5.8% decline, while smaller hotels gained 11.5%. Exhibit 3 shows a positive year-over-year trend in the number of transactions for large hotels, and Exhibit 4 shows the trend for small hotels. In summary, hotel transaction volume has risen for large hotels but has declined for small hotels on a yearover-year basis. In contrast, hotel transaction volume has risen for both large hotels and small hotels on a quarterover-quarter basis. The median price for large hotels appears to have increased year over year but not quarter over quarter. For smaller hotels positive momentum exists in median price regardless of whether the comparison is year over year or quarter over quarter. Even more déjà vu (again). Based on repeat sales, hotel prices continue to behave in a manner similar to the 23Q1 to 21Q2 cycle. Exhibit 5 provides the price index for the repeat hotel sales used to construct our RSI cycle analysis in Exhibit 6 together with the hedonic price indices for small and large hotels. Exhibit 6 continues to confirm our prior estimates based on cycle analysis. CREF Hotel Indices July 215 www.cref.cornell.edu 7

Exhibit 7 Hedonic hotel indices for high-price and low-price hotel transactions 2 18 16 14 12 Hedonic Price Indices 1 8 6 4 2 Low-price hotels (< $1 MM) High-price hotels (> $1 MM) Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics Prices of large and small hotels have both risen; this price gain is statistically significant according to our Standardarized Unexpected Price (SUP) metric. Exhibit 7 shows that prices for the large- and small-hotel indices have risen regardless of whether prices are evaluated on a year-over-year or quarter-over-quarter basis. Exhibit 8 and Exhibit 9 reveal that on a year-over-year basis, large hotels experienced a 7.6% increase in price while smaller hotels have gained 7%. Taking the more recent quarter-overquarter perspective, the price appreciation from large hotels is similar to that of smaller hotels (4.6% vs. 4.5%). 8 The Center for Real Estate and Finance Cornell University

Exhibit 8 Year-over-year change in high-price hotel index, with moving-average trendline 1% 8% 6% Year over year change 4% 2% -2% -4% Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics Exhibit 9 Year-over-year change in small-hotel index, with moving-average trendline 2% 15% Year-over-year change in small-hotel index 1% 5% % -5-1% -15% -2% Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics CREF Hotel Indices July 215 www.cref.cornell.edu 9

Exhibit 1 Standardized unexpected price (SUP) for high-price hotel index 3 2 Critical value (9%) Price surprise indicator: High-price hotels (12 quarters, 3 yrs) Critical value (9%) Price surprise indicator: High-price hotels (2 quarters, 5 yrs) 1 Year over year change -1-2 -3 Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics Our Standardarized Unexpected Price (SUP) metric (displayed in Exhibit 1) shows that the positive price momentum for high price hotels broke through the upper confidence band, indicating that the price gain is statistically significant. Exhibit 1 provides further confirmation that the large-hotel index has increased on a year-overyear basis. Consistent with large hotels, Exhibit 11 shows that the price for smaller hotels reached a new statistically significant high, breaking through its upper SUP band as well. However, this situation (being above the upper band) is not sustainable over the longer term due to prices eventual reversion to the mean. The repeat sales index remains above its historical average, with positive price momentum on a yearover-year basis. The SUP indicator for repeat hotel sales in Exhibit 12 also rose, although only the SUP indicator based on five years broke above the SUP upper band (but not the three-year metric). Exhibit 13 provides an alternative perspective of the price momentum in the repeat sales. The index shows that the repeat sale prices rose on a yearover-year basis with the increase of 9.2% larger than the price increase of 3.4% in the prior year-over-year period. 1 The Center for Real Estate and Finance Cornell University

Exhibit 11 Standardized unexpected price (SUP) for small-hotel index 3 2 1 Year over year change -1-2 Critical value (9%) Price surprise indicator: High-price hotels (12 quarters, 3 yrs) Critical value (9%) Price surprise indicator: High-price hotels (2 quarters, 5 yrs) -3 Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics Exhibit 12 Standardized unexpected price (SUP) for repeat-sale hotels 3 2 1 Year over year change -1-2 -3 Critical value (9%) Price surprise indicator: High-price hotels (12 quarters, 3 yrs) Critical value (9%) Price surprise indicator: High-price hotels (2 quarters, 5 yrs) CREF Hotel Indices July 215 www.cref.cornell.edu 11

Exhibit 13 Year-over-year change in repeat-sale index, with moving-average trendline 4% Year-over-year change in repeat-sales index 3% 2% 1% % -1% -2% -3% Sources: Cornell Center for Real Estate and Finance, CoStar, Real Capital Analytics Mortgage financing volume continues to rise year over year. Exhibit 14 shows that the mortgage origination volume for hotels as reported for 215Q1 is 51.8% greater than that of the previous year (214Q1). This compares to a 1.9% year-over-year increase (213Q4 relative to 214Q4) in the previous quarter. The rise in loan volume is consistent with the relatively higher loan to value (LTV) ratio for hotels, which has remained at 65% since the first quarter of 212. The last time that LTV was this high (or higher) was prior to the commercial real estate market crash. Cost of debt financing is inching up although the relative risk premium for hotels remains more or less flat. The cost of obtaining hotel financing as reported by Cushman Wakefield Sonnenblick Goldman has risen slightly from the end of last year (December 214) when the interest rate was 4.55% for Class A hotels (4.75% for B&C). Exhibit 15 shows that as of the end of June 215, interest rates rose to 4.64% for Class A hotels (4.84% for B&C). On the following page, Exhibit 16 and Exhibit 17 depict interest rate spreads relative to different benchmarks. Exhibit 16 shows the spread between interest rates on Class A full-service hotels (also on B&C) over the ten-year Treasury bond. On this metric, interest rate spreads have remained relatively flat over the last four quarters, indicating that the lenders have not demanded additional compensation for risk associated with lending on hotels. Exhibit 17 shows the spread between the interest rate on Class A full-service hotels (as well as B&C 12 The Center for Real Estate and Finance Cornell University

Exhibit 14 Mortgage origination volume versus loan-to-value ratio for hotels 35.8 MBAA Hotel Mortgage Origination Volume Index 3 25 2 15 1 MBAA Hotel origination volume index (21 avg quarter =1) CWSG Max loan-to-value (full-service hotels).7.6.5.4.3.2 Minimum Hotel Loan-to-Value Ratio (LTVR) 5.1 Sources: Cornell Center for Real Estate and Finance, Mortgage Bankers Association Exhibit 15 Interest rates on Class A hotels versus Class B & C properties 1% 9% Interest-rate spread (Hotel - 1-year Tbond) 8% 7% 6% 5% 4% 3% 2% Class A interest rate Class B & C interest rate 4.77% 4.84% 4.64% 4.57% 1% Sources: Cushman Wakefield Sonnenblick Goldman CREF Hotel Indices July 215 www.cref.cornell.edu 13

Exhibit 16 Interest-rate spreads of hotels versus U.S. Treasury ten-year bonds 7% 6% Interest-rate spread (Hotel - 1-year Tbond) 5% 4% 3% 2% 2.65% 2.55% 2.45% 2.35% 1% Class A interest-rate spread (Hotel 1-year Tbond) Class B & C interest-rate spread (Hotel 1-year Tbond) Source: Cushman Wakefield Sonnenblick Goldman Exhibit 17 Interest-rate spreads of hotels versus non-hotel commercial real estate 1.6% 1.4% Interest-rate spread (Hotel Commercial real estate) 1.2% 1.%.8%.6%.4%.2% -.2% Class A interest-rate spread (Hotel CRE) Class B & C interest-rate spread (Hotel CRE) -.4% Source: Cushman Wakefield Sonnenblick Goldman 14 The Center for Real Estate and Finance Cornell University

Exhibit 18 Cost of equity financing using the Capital Asset Pricing Model and hotel REITs 16% 14% Cost of equity (measured using Hotel REITs) 12% 1% 8% 6% 4%.175.988.964 2% Source: Cornell Center for Real Estate and Finance, NAREIT properties) over the interest rate corresponding to nonhotel commercial real estate, which we call the hotel real estate premium. The hotel real estate premiums for both higher quality (Class A) and lower quality (Class B&C) hotels have continued to decline relative to the previous two quarters. For Class A properties the hotel real estate premium, which stood at.53% for Class A hotels, and.63% for Class B&C hotels for 214Q4 declined in 215Q1 to.48% for Class A and.58% for B&C properties and declined further in 215Q2 to.32% (Class A) and.43% (Class B&C). The fall in the premium in the most recent quarter in Exhibit 17 is a signal that the perceived default risk for hotel properties continues to narrow relative other commercial real estate. Cost of equity financing continues to be cheap; expect to see similar interest rates for hotel financing relative to other commercial real estate in the near future. The cost of using equity financing for hotels continues to diminish as measured using the Capital Asset Pricing Model (CAPM) on hotel REIT returns (shown in Exhibit 18). The cost of using equity funds is currently at 9.6% for 215Q2 down from 9.9% in the previous quarter (215Q1) and down from 11.6% in the previous year (214Q2). This lower cost is due to a reduction in the systematic risk (beta) of hotel REITs. In terms of total risk (the sum of systematic risk + risk that is specific to hotel REITs), Exhibit 19 depicts that the total risk of Hotel REITs is now similar to the total risk of equity REITs in general. This CREF Hotel Indices July 215 www.cref.cornell.edu 15

Exhibit 19 Risk differential between hotel REITs and equity REITs 12 Differential: σ (Hotel REIT Returns) - σ (Equity REIT Returns) 1 8 6 4 2-2 Source: Cornell Center for Real Estate and Finance, NAREIT a leading indicator of underlying real estate performance, since the stock market is generally efficient and forward looking. With that perspective, the NAREIT lodging index continued to lose momentum, falling 7.1% this quarter after declining 5.3% in the prior quarter. Year over year, the NAREIT lodging index is down 2.2% (214Q2 to 215Q2); in the previous quarter (215Q1), however, it was up 15.7% (214Q1 to 215Q1) on a year-over-year basis. The architecture billings index (ABI) for commercial and industrial property, which represents another forward looking metric, declined in this quarter (215Q2), continuevidence is consistent with our previous observation that the perceived default risk for hotels has narrowed relative to other types of commercial real estate. Negative signals exist on the future direction of the price of large hotels, but expect the price of small hotels to continue to rise, according to the tea leaves. Exhibit 2 compares the performance of the repeat sales index relative to the NAREIT Lodging/Resort Price Index. The repeat sales index tends to lag the NAREIT index by at least one quarter (or more). This is consistent with academic studies which find that securitized real estate is 16 The Center for Real Estate and Finance Cornell University

Exhibit 2 Hotel repeat sales index versus NAREIT lodging/resort price index 25 2 15 Price index 1 5 Repeat sales (full sample) NAREIT Lodging/Resort Price Index Source: Cornell Center for Real Estate and Finance, NAREIT Exhibit 21 Hotel repeat sales index versus architecture billings index 25 7 6 Repeat sales (full sample) 2 15 1 5 4 3 2 Architecture Billings Index (ABI) 5 Repeat sales Architecture Billings Index 1 Sources: Cornell Center for Real Estate and Finance, American Institute of Architects CREF Hotel Indices July 215 www.cref.cornell.edu 17

Exhibit 22 Business confidence index (National Association of Purchasing Managers) and high-price hotel index 2 7 18 16 6 High-price hotels hedonic index 14 12 1 8 6 4 2 High-price hotels ISM Purchasing Managers Index (Diffusion index, SA) 5 4 3 2 1 ISM Purchasing Managers Index Sources: Cornell Center for Real Estate and Finance, Institute for Supply Management (ISM) ing its descent from the prior quarter (215Q1), as shown in Exhibit 21. Consistent with these indicators, the National Association of Purchasing Managers (NAPM) index shown in Exhibit 22, which is an indicator of anticipated business confidence and thus business traveler demand, continued to decline in this quarter both on a quarterover-quarter basis (-.6%) and also on a year-over-year basis (-5.3%). However, at 52.6 this quarter, the absolute level of the index continues has remained above 5 since 29Q3, indicating continued strength in the manufacturing sector. 18 The Center for Real Estate and Finance Cornell University

Exhibit 23 Consumer confidence index and low-price hotel index 18 16 16 14 Low-price hotels hedonic index 14 12 1 8 6 4 2 Low-price hotels Consumer confidence index Three-month moving average of consumer confidence index 12 1 8 6 4 2 Consumer confidence index Sources: Cornell Center for Real Estate and Finance, Conference Board The Consumer Confidence Index from the Conference Board (graphed in Exhibit 23), which we use as a proxy for anticipated consumer demand for leisure travel and a leading indicator of the hedonic index for low priced hotels, continued to rise in June (blue line) to 11.4, a.1% increase on a quarter-over-quarter basis (and 17.4% year over year. This suggests that we should expect the price of small hotels to continue to increase next quarter. Hotel Valuation Model (HOTVAL) has been updated. We have updated our hotel valuation regression model to include the transaction data used to generate this report. We provide this user-friendly hotel valuation model in an excel spreadsheet entitled HOTVAL Toolkit as a complement to this report which is available for download from our CREF website. CREF Hotel Indices July 215 www.cref.cornell.edu 19

Appendix SUP: The Standardized Unexpected Price Metric The standardized unexpected price metric (SUP) is similar to the standardized unexpected earnings (SUE) indicator used to determine whether earnings surprises are statistically significant. An earnings surprise occurs when the firm s reported earnings per share deviates from the street estimate or the analysts consensus forecast. To determine whether an earnings surprise is statistically significant, analysts use the following formula: SUE Q = (A Q m Q )/s Q where SUE Q = quarter Q standardized unexpected earnings, A Q = quarter Q actual earnings per share reported by the firm, m Q = quarter Q consensus earnings per share forecasted by analysts in quarter Q-1, and s Q = quarter Q standard deviation of earnings estimates. SUP data and σ calculation for high-price hotels (12 quarters/3 years) Quarter High-price hotels m Moving average σ Price surprise indicator (SUP) From statistics, the SUE Q is normally distributed with a mean of zero and a standard deviation of one (~N(,1)). This calculation shows an earnings surprise when earnings are statistically significant, when SUE Q exceeds either ±1.645 (9% significant) or ±1.96 (95% significant). The earnings surprise is positive when SUE Q > 1.645, which is statistically significant at the 9% level assuming a two-tailed distribution. Similarly, if SUE Q < -1.645 then earnings are negative, which is statistically significant at the 9% level. Intuitively, SUE measures the earnings surprise in terms of the number of standard deviations above or below the consensus earnings estimate. From our perspective, using this measure complements our visual analysis of the movement of hotel prices relative to their three-year and five-year moving average (µ). What is missing in the visual analysis is whether prices diverge significantly from the moving average in statistical terms. In other words, we wish to determine whether the current price diverges at least one standard deviation from µ, the historical average price. The question we wish to answer is whether price is reverting to (or diverging from) the historical mean. More specifically, the question is whether this is price mean reverting. To implement this model in our current context, we use the three- or five-year moving average as our measure of µ and the rolling three- or five-year standard deviation as our measure of σ. Following is an example of how to calculate the SUP metric using high price hotels with regard to their threeyear moving average. To calculate the three-year moving average from quarterly data we sum 12 quarters of data then divide by 12: Average (µ) = (7.6+63.11+58.11+9.54+95.24+99.7 +18.38+99.66+11.62+15.34+19.53+115.78) 12 = 93.13 Standard Deviation (σ) = 18.99 Standardized Unexp Price (SUP) = (115.78-93.13) = 1.19 18.99 2 The Center for Real Estate and Finance Cornell University

CREF Advisory Board Center for Real Estate and Finance Reports, Vol. 4 No. 3 (July 215) 215 Cornell University. This report may not be reproduced or distributed without the express permission of the publisher. The CREF Report series is produced for the benefit of the hospitality real estate and finance industries by The Center for Real Estate and Finance at Cornell University Daniel Quan, Arthur Adler 78 and Karen Newman Adler 78 Academic Director Alicia Michael, Program Manager Glenn Withiam, Executive Editor Alfonso Gonzalez, Director of Marketing and Communications Center for Real Estate and Finance Cornell University School of Hotel Administration 389 Statler Hall Ithaca, NY 14853 Arthur Adler 78 Jeff Horwitz Phone: 67-255-625 Managing Director and CEO-Americas Partner, Head of Lodging and Fax: 67-254-2922 Jones Lang LaSalle Hotels Gaming Group and Private Equity www.cref.cornell.edu Richard Baker 88 Real Estate President and CEO Proskauer Rose LLP Hudson s Bay Company David Jubitz 4 Robert Springer 99 Michael Barnello 87 Principal Senior Vice President Acquisitions President & COO Clearview Hotel Capital Sunstone Hotel Investors LaSalle Hotel Properties Rob Kline 84 SushTorgalkar 99 Scott Berman 84 President & Co-Founder Chief Operating Officer Principal, Industry Leader The Chartres Lodging Group Westbrook Partners PwC Michael Medzigian 82 Chang S. Oh Turkmani Robert Buccini 9 Chairman & Managing Partner Managing Director Co-founder and President Watermark Capital Partners and Carey The Mega Company The Buccini/Pollin Group Watermark Investors Robert White Vernon Chi 93 Alfonso Munk 96 President Senior Vice President Managing Director and Americas Chief Real Capital Analytics Wells Fargo Investment Officer Prudential Real Estate Investors Conley Wolfsinkel Rodney Clough 94 Strategic Management Consultant Managing Director Daniel Peek 92 W Holdings HVS Senior Managing Director HFF Dexter Wood 87 Howard Cohen 89 SVP, Global Head Business & President & Chief Executive Officer David Pollin 9 Investment Analysis Atlantic Pacific Companies Co-founder and President Hilton Worldwide Navin Dimond P 14 The Buccini/Pollin Group Jon S. Wright President & CEO Michael Profenius President and CEO Stonebridge Companies Senior Partner, Head of Business Access Point Financial Joel Eisemann 79 Development SVP & CEO Grove International Partners Lanhee Yung MS 97 Managing Director of Global Fundraising InterContinental Hotels Group David Rosenberg Starwood Capital Group Russell Galbut 74 Chief Executive Officer Managing Principal Sawyer Realty Holdings Crescent Heights Jay Shah 9 Kate Henrikson 96 Chief Executive Officer Senior Vice President Investments Hersha Hospitality Trust RLJ Lodgi CREF g Trust Hotel Indices July 215 www.cref.cornell.edu 21