Multi‐period Asset Lifetimes and Accounting‐based Equity Valuation: Take Care with Constant‐growth Terminal Value Models!

The merits of accruals in forecasting cash flows or mitigating the volatility of financials shortly after the valuation date are indisputable. However, the usefulness of accounting in equity valuation is very limited if we step beyond a certain forecasting horizon. In this paper, this limitation is emphasized by shedding new light on the accounting‐based value driver model (VDM), a widely used constant‐growth terminal value tool that uses accounting variables as input. The paper shows that, if the lifetime of a firm's assets is, on average, longer than one period, the VDM works accurately only in an idealized academic environment with an even historical corporate investment activity, a single depreciation method for all assets, and no historical inflation volatility. Artificially adjusting real‐world figures to this steady state is possible in principle, but bloats the valuation model and requires exactly the same information that is used in our cash flow‐driven benchmark model (where no adjustment phase is necessary). Beyond these theoretical shortcomings, the VDM is also prone to being misused in valuation practice due to its reliance on book (rather than economic) rates of return, and to its shortcomings in dealing adequately with the assets with an ex ante indefinite lifetime.     

Quantifying time value errors

Time valuation of cash flows is an essential part of personal financial planning and management. Many financial arrangements are priced according to a cash-flow valuation model. Expected cash flows associated with a stock or bond are discounted at an appropriate risk-adjusted rate in order to determine the fair value of the financial asset. Home mortgage loans are priced according to the discounted value of the future principal and interest cash flows. Yet, despite the importance of the discounted cash flow methodology in pricing assets, computational errors are often made when discount factors are not calculated precisely. This article attempts to quantify the magnitude of the error when the mathematical function for present value is ignored and interpolation is used instead to determine the discount factor.     

Projections of pension fund solvency under alternative valuation regimes

This paper examines the impact of three alternative valuation regimes on perceived pension fund solvency. Deterministic valuation assumes smoothed valuation of assets and liabilities. National valuation is based on market valuation of assets and on smoothed valuation of liabilities. International valuation marks assets and liabilities to market values. Using closed-form methods based on the funding ratio return, we exemplify the dramatic effect that the choice of valuation approach has on long-horizon solvency projections.     

Valuation effects of new capital issues by large bank holding companies

Bank regulators in the United States and other major industrial nations have agreed on a framework for regulating bank capital, proposing that all banking organizations maintain common equity and perpetual preferred capital equal to 4 percent of risk-adjusted assets. This proposal raises important questions about the effect of different capital definitions on banking organizations. This article examines the stock market valuation effects of banks' issuing securities that are considered regulatory capital over the 1982–1986 period. The results are consistent with Myers and Majluf's securities overvaluation hypothesis.     

Pricing options in incomplete equity markets via the instantaneous Sharpe ratio

We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative security requires compensation for this risk in the form of a pre-specified instantaneous Sharpe ratio. First, we apply our method to price options on non-traded assets for which there is a traded asset that is correlated to the non-traded asset. Our main contribution to this particular problem is to show that our seller/buyer prices are the upper/lower good deal bounds of Cochrane and Saá-Requejo (J Polit Econ 108:79–119, 2000) and of Björk and Slinko (Rev Finance 10:221–260, 2006) and to determine the analytical properties of these prices. Second, we apply our method to price options in the presence of stochastic volatility. Our main contribution to this problem is to show that the instantaneous Sharpe ratio, an integral ingredient in our methodology, is the negative of the market price of volatility risk, as defined in Fouque et al. (Derivatives in financial markets with stochastic volatility. Cambridge University Press, 2000).     

Exotic unit-linked life insurance contracts

This article integrates aspects of traditional insurance with advances in financial economics, yielding proper valuation and premium assessments of insurance benefits linked to various financial assets. Several new types of unit-linked life insurance contracts are discussed, with substantial potential for real-life applications. Compared to usual unit-linked products, these contracts offer added flexibility and/or altered exposure to financial risk for the insured and/or the insurer. The single premiums of these policies are calculated as expectations under a risk-adjusted probability measure (equivalent martingale measure), satisfying no-arbitrage conditions in financial markets.     

Pseudo linear pricing rule for utility indifference valuation

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model, and provides two linear approximations for the utility indifference price. The key tool is a probabilistic representation for the utility indifference price by the solution of a functional differential equation, which is termed pseudo linear pricing rule. We also provide an alternative derivation of the quadratic BSDE representation for the utility indifference price.     

Asset pricing models and economic risk premia: A decomposition

The risk premia of linear factor models on economic (non-traded) risk factors can be decomposed into: i) the premium on maximum-correlation portfolios mimicking the factors; ii) (minus) the covariance between the non-traded components of the pricing kernel and the factors; and iii) (minus) the mispricing of the maximum-correlation portfolios. For a given set of assets available for investment, the first component is the same across models and is typically estimated with little bias and high precision. We conclude that the premia on maximum-correlation portfolios are appealing alternatives to the risk premia of linear factor models, with the dividend yield being the only economic factor significantly priced.     

The impact of the institutional environment on the value relevance of fair values

Most prior studies attribute valuation discounts on certain fair valued assets to measurement error or bias. We argue that institutional differences across countries (e.g., information environment or market sophistication) affect investors’ ability to process and impound fair value information in their valuation. We predict that the impact of the institutional environment on value relevance is particularly pronounced for reported fair values of assets designated at fair value through profit or loss (hereafter, “FVO assets”), for which investor experience is lowest and complexity is highest. Using a global sample of IFRS banks, we find that FVO assets are generally less value relevant than held-for-trading assets (HFT) and available-for-sale assets (AFS). By partitioning countries into market- and bank-based economies to proxy for institutional differences, we find that the valuation discount on FVO assets is more pronounced in bank-based economies. Additional tests suggest that this valuation discount is attenuated by a richer firm-level information environment and the presence of institutional investors with fair value experience.     

On the conceptual foundations of financial reporting

Standard setters advocate a balance sheet approach to financial reporting, which views assets and liabilities as primary, and income as just the derivative change in net assets. This paper argues that income is conceptually and practically better described as ‘adjusted net cash flows,’ where the adjustments are the accounting accruals. One proof of that is seen in the existence of whole accounting systems like tax accounting and national income accounting, which emphasize the determination of income but have no balance sheets. The paper also argues that an income-based approach to financial reporting is by nature better suited to reflect the success of advancing cash to earn more cash, which defines what for-profit entities do. There are two main features of the income-based approach. One is attention on the cash flows as the natural foundation for financial reporting because they are precisely determined, and provide a clear link to firm valuation. The other is attention on the accounting accruals, which serve to adjust the raw cash flows to better show the current success of investing cash to ultimately earn more cash. Specifically, the paper argues for revenue recognition which is close to current practice, and for expense recognition which is aligned with the matching principle.     

Consumption correlatedness and risk measurement in economies with non-traded assets and heterogeneous information

A technique is presented for deriving equilibrium models of asset risk premia in continuous time models which does not require the complete solution of a consumer's continuous time stochastic control problem. The technique is used to show that even if traders have heterogeneous information about asset returns and/or there are non-traded assets, then the risk premium of a traded asset is determined by the covariance between the asset's return and the rate of change in per capita consumption. We only require the assumption that traders' consumptions and traded asset values form an Ito process.     

On syndicate sharing rules for unanimous project rankings

This paper extends the notion of individual certainty equivalent to group certainty equivalent, in order to derive sharing rules that ensure unanimity on project rankings within a syndicate. A constrained maximization problem is set up with optimal project-specific sharing rules as the solution. It is shown that the group certainty equivalent construct allows for experimental derivation of a syndicate's preference function from a procedure parallel to that presently employed for deriving preference functions of individuals. The analysis potentially has a role in examining the nature of optimal compensation systems (sharing rules) for closely held (non-traded) corporations and partnerships.     

Life Insurance Liabilities at Market Value: An Analysis of Insolvency Risk, Bonus Policy, and Regulatory Intervention Rules in a Barrier Option Framework

This article takes a contingent claim approach to the market valuation of equity and liabilities in life insurance companies. A model is presented that explicitly takes into account the following: (i) the holders of life insurance contracts (LICs) have the first claim on the company's assets, whereas equity holders have limited liability; (ii) interest rate guarantees are common elements of LICs; and (iii) LICs according to the so‐called contribution principle are entitled to receive a fair share of any investment surplus. Furthermore, a regulatory mechanism in the form of an intervention rule is built into the model. This mechanism is shown to significantly reduce the insolvency risk of the issued contracts, and it implies that the various claims on the company's assets become more exotic and obtain barrier option properties. Closed valuation formulas are nevertheless derived. Finally, some representative numerical examples illustrate how the model can be used to establish the set of initially fair contracts and to determine the market values of contracts after their inception.     

Valuation and systemic risk consequences of bank opacity

We examine the effects of opacity on bank valuation and synchronicity in bank equity returns over the years 2000–2006 prior to the 2007 financial crisis. As expected, investments in opaque assets are more profitable than investments in transparent assets, and taking profitability into account, have larger valuation discounts relative to transparent assets. The valuation discounts on opaque asset investments decline over the 2000–2006 period only to be followed by a sharp reversal in 2007. The decline is coincident with a rise in bank equity share prices, decrease in transparent asset holdings by banks, and greater return synchronicity – evidence consistent with a feedback effect.     

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.     

Valuation Relevance of Allowance for Funds Used During Construction and Operating Income: The Effects of Regulatory Climates and Deregulation

This study considers the valuation relevance allowance for funds used during construction (AFUDC), operating income (OI), and their innovations across regulatory climates and regulatory reforms. Valuation relevance is assessed by examining the coefficients and R ²s from the regressions of returns on AFUDC, OI, and their innovations. Regulatory climate is predicted to affect valuation relevance of earnings components on the premise that different regulatory regimes enact and enforce policies that differently affect (1) the uncertainty of future earnings, (2) the recovery of deferred assets, and (3) the sustainability of earnings innovations. In an extended analysis, indicators of rate-base valuation method and leverage are added as control variables to isolate their mediating effects on returns for electric utilities. Additional analysis considers the effects of the Energy Policy Act (EPAct) of 1992 on the valuation of earnings components. The results reveal that AFUDC and OI are valued differently relative to each other and across regulatory climates. The results also show a significant decline in the explanatory power of earnings components after the passage of the EPAct in 1992. Rate-base valuation method has no discernible effects on returns for the utilities. On the other hand, the effect of leverage on returns for the utilities is reliably negative.     

Adjustment of valuation inputs and its effect on value relevance of fair value measurement

The fair value accounting standards; i.e., FAS 157, FAS 157-3 and FAS 157-4, specify the circumstances where firms need to adjust valuation inputs to fair value measurements in response to changes in market conditions. Such an adjustment inherently involves substantial management judgment and is accompanied with transfers of assets and liabilities among the different levels of the fair value hierarchy. We study the effect of adjusting valuation inputs to reflect market variations on value relevance of fair value measurements by comparing the value relevance of fair value assets between the banks that make transfers of assets and the banks that make no transfers. Overall, we find a significant increase in value relevance of fair value measurements for banks that transferred assets into/out of the Level 3 category. Our study examines a challenging situation in the application of fair value standards; i.e., determining fair value when there is a change in market conditions. Fair value measurement under such a situation involves substantial management judgment and potential estimate errors and manipulation. Our findings provide useful information for researchers, regulators and accounting professionals to assess the market’s perception of the reliability of fair value information when management exercises substantial discretion in adjusting valuation inputs under changing market conditions.     

Risk and return on long-lived tangible assets

Assuming rational expectations, a specialization of Ross' Arbitrage Pricing Theory is used to obtain a simple securities market valuation formula when dividends follow linear stochastic processes. The implications of this model for the use of accounting data to measure risk and for capital budgeting are explored. A new measure of riskiness based on accounting data is derived, and the use of risk-adjusted discount rates is evaluated.     

A Finite Difference Approach to the Valuation of Path Dependent Life Insurance Liabilities

This paper sets up a model for the valuation of traditional participating life insurance policies. These claims are characterized by their explicit interest rate guarantees and by various embedded option elements, such as bonus and surrender options. Owing to the structure of these contracts, the theory of contingent claims pricing is a particularly well-suited framework for the analysis of their valuation.The eventual benefits (or pay-offs) from the contracts considered crucially depend on the history of returns on the insurance company's assets during the contract period. This path-dependence prohibits the derivation of closed-form valuation formulas but we demonstrate that the dimensionality of the problem can be reduced to allow for the development and implementation of a finite difference algorithm for fast and accurate numerical evaluation of the contracts. We also demonstrate how the fundamental financial model can be extended to allow for mortality risk and we provide a wide range of numerical pricing results.     

The boundaries of firms as information barriers

When contracts are incomplete, the property‐rights theory of firms suggests that ownership of physical assets provides better outside options, which in turn strengthen the owner's incentives to invest in the enterprise. This approach is less suitable for human capital firms such as management consulting that lack physical assets. This article develops an alternative theory for integration that sheds light on the boundaries of human capital firms. In particular, when a relationship between parties includes large potential externalities, reducing the outside option of each party will be beneficial. Integration provides this reduction by blurring the contribution of individual parties within the firm, and thus lowering their independent market valuation. Unlike some results in the property‐rights literature, the results here are robust to variations in ex post bargaining solution.