A time-inconsistent Dynkin game: from intra-personal to inter-personal equilibria

This paper studies a nonzero-sum Dynkin game in discrete time under non-exponential discounting. For both players, there are two intertwined levels of game-theoretic reasoning. First, each player looks for an intra-personal equilibrium among her current and future selves, so as to resolve time inconsistency triggered by non-exponential discounting. Next, given the other player’s chosen stopping policy, each player selects a best response among her intra-personal equilibria. A resulting inter-personal equilibrium is then a Nash equilibrium between the two players, each of whom employs her best intra-personal equilibrium with respect to the other player’s stopping policy. Under appropriate conditions, we show that an inter-personal equilibrium exists, based on concrete iterative procedures along with Zorn’s lemma. To illustrate our theoretical results, we investigate a two-player real options valuation problem where two firms negotiate a deal of cooperation to initiate a project jointly. By deriving inter-personal equilibria explicitly, we find that coercive power in negotiation depends crucially on the impatience levels of the two firms.

     

The Cost of Carbon: Capital Market Effects of the Proposed Emission Trading Scheme (ETS)

In March 2008, the Australian Government announced its intention to introduce a national Emissions Trading Scheme (ETS), now expected to start in 2015. This impending development provides an ideal setting to investigate the impact an ETS in Australia will have on the market valuation of Australian Securities Exchange (ASX) firms. This is the first empirical study into the pricing effects of the ETS in Australia. Primarily, we hypothesize that firm value will be negatively related to a firm's carbon intensity profile. That is, there will be a greater impact on firm value for high carbon emitters in the period prior (2007) to the introduction of the ETS, whether for reasons relating to the existence of unbooked liabilities associated with future compliance and/or abatement costs, or for reasons relating to reduced future earnings. Using a sample of 58 Australian listed firms (constrained by the current availability of emissions data) which comprise larger, more profitable and less risky listed Australian firms, we first undertake an event study focusing on five distinct information events argued to impact the probability of the proposed ETS being enacted. Here, we find direct evidence that the capital market is indeed pricing the proposed ETS. Second, using a modified version of the Ohlson ( 1995 ) valuation model, we undertake a valuation analysis designed not only to complement the event study results, but more importantly to provide insights into the capital market's assessment of the magnitude of the economic impact of the proposed ETS as reflected in market capitalization. Here, our results show that the market assesses the most carbon intensive sample firms a market value decrement relative to other sample firms of between 7% and 10% of market capitalization. Further, based on the carbon emission profile of the sample firms we imply a ‘future carbon permit price’ of between AUD$17 per tonne and AUD$26 per tonne of carbon dioxide emitted. This study is more precise than industry reports, which set a carbon price of between AUD$15 to AUD$74 per tonne.     

Valuation of insurers’ contingent capital with counterparty risk and price endogeneity

This study develops a structural framework to value insurers’ contingent capital with counterparty risk (CR) and overcomes the problem of price endogeneity (PE) in the valuation model. Our results on the focal contingent capital instrument – catastrophe equity put option (CatEPut) – indicate that prices can be significantly overestimated without considering CR and be significantly underestimated without considering PE. This study also examines how CatEPuts affect the buyer’s probability of default (PD). Our results show that buying a CatEPut lowers the PD for high-risk insurers, but not necessarily so for low-risk insurers; however, without taking CR and PE into account, one may significantly overestimate the credit enhancement provided by the CatEPuts.     

Corporate leverage and growth the game-theoretic issues

The equilibrium value of a levered firm facing growth opportunities is shown to involve the valuation of a lottery over (cooperative) games rather than a lottery over specific monetary outcomes. In the absence of assumptions about negotiating risk, the value of the firm's claims is seen to be ambiguous even with zero transactions costs. This ambiguity is compounded if the core of the game is empty. This paper rationalizes specific financial instruments and institutions as means for attenuating negotiation costs and core existence problems. Furthermore, the valuation of these instruments requires determining the certainty-equivalent of a lottery over games.     

Optimal ownership structure in private equity

We develop a tractable model to analyse the valuation of a general partner (GP) and the ownership allocation in a private equity (PE) fund. Our results indicate that holding ownership will increase GP's value. We further explore the influential factors that affect GP's optimal ownership decision. Our model predicts that GP's managerial skill has positive effects on GP's shareholding choice. Factors such as leverage, unspanned risks, GP's compensation have negative impacts on GP ownership decision. The fund's maturity has a non‐monotonic and concave influence. Moreover, the widely used performance measures implied by our model are consistent with empirical findings.     

Payout Policy Relevance and Accounting‐based Valuation

DeAngelo and DeAngelo (2006) (D&D) argue ‘payout policy is not irrelevant and investment is not the sole determinant of value, even in frictionless markets’. Consistent with this view, we argue that the concept of a perfect capital market in Miller and Modigliani (1961) (M&M) and Fama and Miller (1972) can be extended to allow for managerial moral hazard if managers are assumed not to participate in securities trading. An updated version of the M&M valuation model is presented and the possibility of managerial free cash flow (FCF) retention through operating expense manipulation and sub‐optimal investment policies is discussed. Our analysis supports D&D's argument that payout policy is relevant and indicates that value relevance of payout depends on the quality of earnings measurement and the optimality of investment policy. Following this, we develop a framework for analyzing valuation and informational roles of payout in accounting‐based valuation models and apply this framework to the Ohlson (1995) and Feltham and Ohlson (1996) models. This analysis shows how these models permit payout valuation relevance due to managerial FCF retention but not payout informational relevance. Finally, we consider how the Feltham and Ohlson (1996) model can be extended to incorporate time variation in expected profitability of capital investment caused by time variation in managerial FCF retention activities and show that this explicitly affects payout value relevance. We conclude that the development of models where payout plays an explicit valuation role due to issues of moral hazard is an important direction for future research.     

新兴产业估值方法国际比较与实证

估值是定价的基础,新兴产业由于自身的特点,在估值和定价发行方面存在较大的困难。本文对新兴产业的估值与定价问题展开研究,对现在市场主流的估值方法进行了对比,结合新兴产业估值特点,在传统PEG模型基础上发展出风险调整PEG模型,也即PEGX。它比PEG指标更全面地反映新兴行业企业的成长性和风险性。文章结合国内外资本市场进行了案例分析,通过实证检验验证了模型的有效性,更适用于对我国的新兴产业进行估值。文章认为,可以通过与PE模型及其他绝对估值模型结合,使用该模型对新股上市定价的合理性进行评估。由于PEGX模型更加强调新兴产业的风险性,用该模型进行定价分析时,可以有效缓解对高增长企业给予盲目的高估值定价。     

VALUING REAL OPTIONS: CAN RISK‐ADJUSTED DISCOUNTING BE MADE TO WORK?

This paper examines three alternative approaches to valuing real options: (1) the standard option pricing technique using "risk-neutral" probabilities; (2) the use of risk-adjusted discount rates; and (3) discounting certainty-equivalent values with a riskless discount rate. As suggested by the title, a question of particular interest is whether an approach based on risk-adjusted discount rates can be "made to work" for valuing options. The answer is yes. Indeed, the authors show that any of the three approaches will provide a correct valuation if properly employed.
Nevertheless, there are important differences in the information requirements associated with each of the three methods. Another important issue is the relative degree of difficulty in calculating the correct option value. When these two considerations are taken into account, the risk-neutral option pricing procedure generally proves to be the preferred method. It tends to be computationally more convenient—often much more convenient—and to require less information than either the risk-adjusted discounting or certainty-equivalent procedures.     

Multi-Period Lead Relations between Price-to-Book Ratios and Accounting Rates-of-Returns: Korean Evidence

Using a sample of Korean firms, this paper investigates the relations between price-to-book ratios and their determinants identified by Ohlson's (1995) accounting-based valuation model. A particular emphasis is placed on thequestion of whether and how the impact of future accounting rates-of-returns on current price-to-book ratios decays within a finite time horizon. Our results reveal that any current price-to-book ratio is significantly relatedto current and future accounting rates-of-returns over the five subsequent years.The relation between the two is stronger when accrual earnings are used for measuring accounting rates-of-returns than it is when cash flows or dividend flows are used. Further, the strength of this multi-period lead relation tends to decrease substantially in magnitude and significance with the time horizon, and becomes insignificant beyond a certain time horizon.     

Valuation of diversified banks: New evidence

This paper reconsiders the effect of diversification on bank valuation. Our objective is to provide new evidence based on a unified estimation framework that places particular emphasis on separating the effects of diversification (specialised banks vs. diversified banks) from those of bank type (investment banks vs. commercial banks). Consistent with prior studies, we find a significant diversification discount at the end of the 1990s. Our main finding is that it decreases over time and practically vanishes after the financial crisis. We do not find support for the hypothesis that the diversification effect is influenced by geographical or regulatory factors. The valuation impact of bank characteristics varies over time, particularly in the financial crisis, but this structural break does not explain the observed decrease of the diversification discount. We show that the pre-crisis discount is considerably smaller in a robust regression, which in part is driven by banks with a large share of non-interest income.     

A development bank’s choice of private equity partner: a behavioural game-theoretic approach*

ABSTRACT

We develop a formal game-theoretic analysis of the economic (value-adding abilities) and behavioural factors (empathy, emotional excitement, passion) affecting a development bank’s choice of private-equity partner when investing into emerging market entrepreneurship. Triple-sided moral hazard (TSMH) problems occur in the form of effort-shirking, since the bank, the PE-manager, and the entrepreneur all contribute to value-creation. The bank’s investment choices are crucially affected by a) the relative abilities and the potential level of empathy, excitement and passion that may be generated between a PE-manager and an entrepreneur, and b) the personal emotional attachment that the bank develops towards a PE. The severity of TSMH increases inefficiencies in decision-making. Finally, we consider, in addition to political risk mitigation, an additional impact that the bank may have on PE/E value-creation: the bank may have a coaching/mentoring role. Our analysis has implications for academics and practitioners alike.     

Urban Economic Openness and IPO Underpricing

This paper represents a first attempt to employ a macroeconomic approach to explain the high and varying IPO underpricing within a single emerging market. We examine the empirical impact of trade openness on the short-run underpricing of initial public offerings (IPOs) using city-level data. Particularly, we argue that urban economic openness (UEO) has a significant impact on the productivity and on prices of both direct and indirect real estate due to productivity gains of companies in more open areas. This in turn positively affects the firm’s profitability, enhancing the confidence in local real estate markets and future company performance, hence decreasing the uncertainty of the IPO valuation. As a result, issuers have less incentive to underprice IPO shares. We use a sample of Chinese real estate IPOs, which offer a suitable laboratory thanks to their strong geographic investment patterns focused locally and a country with a highly heterogeneous openness across regions. Controlling for traditional firm- and issuing-specific characteristics of IPOs that are used for developed markets and Chinese-related features (i.e. listing location and state ownership), we find the evidence that companies investing in economically more open areas experience less IPO underpricing. Our results show great explanatory power and are robust to different specifications.     

Payout yield,risk, and mispricing: A Bayesian analysis

We develop a simple parametric model in which hypotheses about predictability, mispricing, and the risk-return tradeoff can be evaluated simultaneously, while allowing for time variation in both risk and expected return. Most of the return predictability based on aggregate payout yield is unrelated to market risk. We consider a range of Bayesian prior beliefs about the risk-return tradeoff and the extent to which predictability is driven by mispricing. The impact of these beliefs on an investor's certainty-equivalent return when choosing between a market index and riskless T-bills is economically significant, in both ex ante and out-of-sample analyses.     

Book Review

This paper investigates the role of intellectual capital information (ICI) in sell-side analysts’ fundamental analysis and valuation of companies. Using in-depth semi-structured interviews, it penetrates the black box of analysts’ valuation decision-making by identifying and conceptualising the mechanisms and rationales by which ICI is integrated within their valuation decision processes. We find that capital market participants are not ambivalent to ICI, and ICI is used: (1) to form analysts’ perceptions of the overall quality, strengths and future prospects of companies; (2) in deriving valuation model inputs; (3) in setting price targets and making investment recommendations; and (4) as an important and integral element in analyst–client communications. We show that: there is a ‘pecking order’ of mechanisms for incorporating ICI in valuations, based on quantifiability; IC valuation is grounded in valuation theory; there are designated entry points in the valuation process for ICI; and a number of factors affect analysts’ ICI use in valuation. We also identify a need to redefine ‘value-relevant’ ICI to include non-price-sensitive information; acknowledge the boundedness and contextuality of analysts’ rationality and motives of their ICI use; and the important role of analyst–client meetings for ICI communication.     

The market valuation of share repurchases in Europe

We analyze a uniquely constructed data set of open market share repurchases across a sample of European firms. We find that the announcement date market reaction is lower than that in the US, mainly because of (i) the relatively large number of recurring announcements which generate significantly lower returns than the initial announcements of intention to repurchase shares; (ii) the rather low market reaction in France, due probably to specific governance and corporate cultural issues; and (iii) the regulatory reform that allowed UK firms to keep the repurchased shares as treasury stock, which decreased their market impact. Across our countries, taxation, shareholder protection, and the European Union’s Market Abuse Directive do not affect significantly the market valuation of repurchases. Our results imply that ultimately, domestic institutional specificities and reforms play significant roles in the market valuation and popularity of share repurchases.     

Impact of partial control on policies enacted by partial targets

Numerous studies have shown that the valuation effects of corporate policies are conditioned on corporate control. A partial acquisition serves as a unique form of corporate control that has not been thoroughly researched as a control mechanism. When firms are partially acquired, the impact of their subsequent corporate policies may be affected by the degree of control imposed by the partial acquirer. Our primary objective is to test this hypothesis by (1) measuring valuation effects of the partial target and partial acquirer in response to policies enacted by the partially acquired firm (after becoming a partial target), and (2) conducting a comprehensive cross-sectional analysis for each policy which incorporate proxies for the degree of control by the partial acquirer. We find that partial targets and partial acquirers experience significant valuation effects in response to some policies enacted by the target. We also find that the valuation effects on a partial target in response to its subsequent policies are commonly conditioned by the degree of the partial acquirer's control.     

Time-Varying Arrival Rates of Informed and Uninformed Trades

We propose a dynamic econometric microstructure model of trading,and we investigate how the dynamics of trades and trade compositioninteract with the evolution of market liquidity, market depth,and order flow. We estimate a bivariate generalized autoregressiveintensity process for the arrival rates of informed and uninformedtrades for 16 actively traded stocks over 15 years of transactiondata. Our results show that both informed and uninformed tradesare highly persistent, but that the uninformed arrival forecastsrespond negatively to past forecasts of the informed intensity.Our estimation generates daily conditional arrival rates ofinformed and uninformed trades, which we use to construct forecastsof the probability of information-based trade (PIN). These forecastsare used in turn to forecast market liquidity as measured bybid-ask spreads and the price impact of orders. We observe thatPINs vary across assets and over time, and most importantlythat they are correlated across assets. Our analysis shows thatone principal component explains much of the daily variationin PINs and that this systemic liquidity factor may be importantfor asset pricing. We also find that PINs tend to rise beforeearnings announcement days and decline afterwards.     

Corporate taxes,capital structure,and valuation: Combining Modigliani/Miller and Miles/Ezzell

The valuation of a firm with discounted cash flow (DCF) approaches requires assumptions about the firm’s financing strategy. The approaches of Modigliani and Miller and Miles and Ezzell assume that either a passive debt management with predetermined debt levels or active debt management with capital structure targets is applied. Over the last decades, various extensions of these approaches have been developed to allow for a more realistic depiction of financial decision making. However, recent empirical analyses indicate that current theories still have limited power to explain large variances in capital structure across time. We provide an alternative explanation for the empirical observation by assuming that firms combine both capital structure targets and predetermined debt within future periods, and we show how to value a firm given such a partially active debt management. The approaches of Modigliani and Miller and Miles and Ezzell are embedded into a common valuation framework, with the familiar valuation formulas shown as special cases. In a simulation analysis, we illustrate that the textbook valuation formulas may produce considerable valuation errors if a firm applies a partially active debt management.     

Investor recognition and stock returns

It is well established that investment fundamentals, such as earnings and cash flows, can explain only a small proportion of the variation in stock returns. We find that investor recognition of a firm’s stock can explain relatively more of the variation in stock returns. Consistent with Merton’s (J Finance 42(3):483–510, 1987) theoretical analysis, we show that (i) contemporaneous stock returns are positively related to changes in investor recognition, (ii) future stock returns are negatively related to changes in investor recognition, (iii) the above relations are stronger for stocks with greater idiosyncratic risk and (iv) corporate investment and financing activities are both positively related to changes in investor recognition. Our research suggests that investors and managers who are concerned with firm valuation should consider investor recognition in addition to accounting information and related investment fundamentals.     

A fuzzy-based approach to residual income equity valuation

The decision of whether to buy, hold or sell equities depends on whether the current price reflects the stock’s intrinsic or fundamental value. The residual income valuation model expresses this fundamental value as a function of current book value of equity plus the sum of discounted expected residual income. Although past and present income and book value information is readily available to investors, values taken by essential parameters in this model are unknown ex ante, particularly the cost of equity or discount rate and future residual income. Any point estimate of equities’ fundamental value according to the model may therefore conceal considerable variation around the estimate, even in the presence of minor perturbations in the model’s inputs. In this paper, we introduce a fuzzy-based approach which reflects the imprecision inherent in certain parameters in equity valuation. We extend the limited prior fuzzy-based literature on investment analysis by introducing the concept of fuzzy fundamental equity value, initially on an illustrative example. To further demonstrate this fuzzy representation, illustrative financial statement data for individual UK companies are considered, with fuzzy fundamental equity values evaluated over progressive forecast horizons. Our series of illustrative applications (which encompasses the standard crisp approach) make the inherent uncertainty involved in estimating equity value immediately apparent.