Bank capital regulation in a barrier option framework

The barrier options theory of corporate security valuation is applied to the contingent claims of a regulated bank. The regulator/insurer of a bank owns a down-and-in call option on the bank assets which can be balanced against the expected coverage cost. Raising the regulatory barrier (critical asset level triggering bank closure) leads to a transfer of wealth from stockholders to the insurer and reduces stockholder incentives to increase asset risk. Empirical tests on a sample of 152 one-bank holding companies show that regulatory barriers are priced in the stock market and are inversely related to Tier 1 leverage ratios.     

A Parimutuel Market Microstructure for Contingent Claims

Parimutuel principles are widely used as an alternative to fixed odds gambling in which a bookmaker acts as a dealer by quoting fixed rates of return on specified wagers. A parimutuel game is conducted as a call auction in which odds are allowed to fluctuate during the betting period until the betting period is closed or the auction ‘called’. The prices or odds of wagers are set based upon the relative amounts wagered on each risky outcome. In financial microstructure terms, trading under parimutuel principles is characterised by (1) call auction, non‐continuous trading; (2) riskless funding of claim payouts using the amounts paid for all of the claims during the auction; (3) special equilibrium pricing conditions requiring the relative prices of contingent claims equal the relative aggregate amounts wagered on such claims; (4) endogenous determination of unique state prices; and (5) higher efficiency. Recently, a number of large investment banks have adopted a parimutuel mechanism for offering contingent claims on various economic indices, such as the US Nonfarm payroll report and Eurozone Harmonised inflation. Our paper shows how the market microstructure incorporating parimutuel principles for contingent claims which allows for notional transactions, limit orders, and bundling of claims across states is constructed. We prove the existence of a unique price equilibrium for such a market and suggest an algorithm for computing the equilibrium. We also suggest that for a broad class of contingent claims, that the parimutuel microstructure recently deployed offers many advantages over the dominant dealer and exchange continuous time mechanisms.     

Deposit guarantee evaluation and incentives analysis in a mutual guarantee system

This paper analyzes how the deposit guarantee value affects the risk incentives in a mutual guarantee system. We liken the guarantee’s value to that of a European-style contingent claims portfolio. The main feature emerging from our model is that a mutual guarantee system would give banks an adverse incentive to increase riskiness. To mitigate this incentive, we introduce a regulatory provision modelled using a path-dependent contingent claim. By comparing the mutual guarantee system with a non-mutual one, we show that the former is less expensive, but implies higher adverse incentives for the banks, especially for undercapitalized institutions.     

Empirical evaluation of asset pricing models: Arbitrage and pricing errors in contingent claims

Hansen and Jagannathan (1997) have developed two measures of pricing errors for asset-pricing models: the maximum pricing error in all static portfolios of the test assets and the maximum pricing error in all contingent claims of the assets. In this paper, we develop simulation-based Bayesian inference for these measures. While the literature reports that the time-varying extensions substantially reduce pricing errors of classic models on the standard test assets, our analysis shows that the reduction is much smaller based on the second measure. Those time-varying models have large pricing errors on the contingent claims of the test assets because their stochastic discount factors are often negative and admit arbitrage opportunities.     

Convertible security design and contract innovation

This paper studies convertible security design for a sample of 814 issuers over the years 2000 through 2007. Using a nested logit model, we examine how firms choose fixed income claims and the method of payment. We find that fixed income claims are chosen to reduce corporate income taxes, minimize refinancing costs, and help mitigate managerial discretion costs. The method of payment choice frequently includes cash settlement features because they increase reported diluted earnings per share. Some of the cash settlement issuers also adopt other innovative financial strategies (share repurchase programs and call spread overlays) that inflate reported earnings per share. We find that firms needing debt capacity include mandatory conversion features.     

No-arbitrage conditions for storable commodities and the modeling of futures term structures

One distinguishable feature of storable commodities is that they relate to two markets: cash market and storage market. This paper proves that, if no arbitrage exists in the storage-cash dual markets, the commodity convenience yield has to be non-negative. However, classical reduced-form models for futures term structures could allow serious arbitrages due to the high volatility of the convenience yield. To avoid negative convenience yield, this paper proposes a semi-affine arbitrage-free model, which prices futures analytically and fits futures term structures reasonably well. Importantly, our model prices commodity-related contingent claims (such as calendar spread options) quite differently with classical models.     

General equilibrium pricing of currency and currency options

This paper presents a consumption-based general equilibrium model for valuing foreign exchange contingent claims. The model identifies a novel economic mechanism by exploiting highly but imperfectly shared consumption disaster with variable intensities which are the concerns to the representative investor under recursive utility. When applied to the data, the model simultaneously replicates (i) the moderate option-implied volatilities; (ii) substantial variations in the risk-neutral skewness of currency returns; (iii) the uncovered interest rate parity puzzle; and (iv) the first two moments of carry trade returns. Furthermore, the model rationalizes salient features of the aggregate stock, government bonds, and equity index options.     

Nonparametric,conditional pricing of higher order multivariate contingent claims

This paper describes and applies a nonparametric model for pricing multivariate contingent claims. Multivariate contingent claims are contracts whose payoffs depend on the future prices of more than one underlying variable. The pricing however of these kinds of contracts represents a challenge. All known models are adaptations of earlier ones that have been introduced to price plain vanilla calls and puts. They are imposing strong assumptions on the distributional properties of the underlying variables. In contrast, this study adopts a methodology that relaxes such restrictions. Following [Barone-Adesi, G., Bourgoin, F., Giannopoulos, K., 1998. Don’t Look Back, Risk 11 (August), 100–104; Barone-Adesi, G., Engle, R., Mancini, L., 2004. GARCH Options in Incomplete Markets, mimeo, University of Applied Sciences of Southern Switzerland; Long, X., 2004. Semiparametric Multivariate GARCH Model, mimeo, University of California, Riverside], multivariate pathways for a set of underlying variables are constructed before the option payoffs are computed. This enables the covariances, in addition to the means and variances, to be modelled in a dynamic and nonparametric manner. The model is particular suitable for options whose payoffs depend on variables that are characterised by high nonlinearities and extremes and on higher order multivariate options whose underlying variables are more unlikely to conform to a common theoretical distribution.     

The impact of conglomeration on the option value of equity

Using contingent claims analysis, I quantify the effect of risk-reducing corporate diversification on the value of equity as a call option on firm assets. The impact of conglomeration on firm risk is heavily conditioned on firm size. In contrast to small firms, the risk of large firms does not decline with increasing conglomeration. Accounting for this effect, the expected equity discount is much lower than commonly assumed and can even turn into a premium if the path dependency of equity is incorporated. My results stand in direct contrast to those of Mansi and Reeb (2002) and caution against using asset substitution as a qualitative argument for explaining economy-wide value phenomena.     

Comparing the performance of market-based and accounting-based bankruptcy prediction models

Recently developed corporate bankruptcy prediction models adopt a contingent claims valuation approach. However, despite their theoretical appeal, tests of their performance compared with traditional simple accounting-ratio-based approaches are limited in the literature. We find the two approaches capture different aspects of bankruptcy risk, and while there is little difference in their predictive ability in the UK, the z-score approach leads to significantly greater bank profitability in conditions of differential decision error costs and competitive pricing regime.     

A market-based approach to sector risk determinants and transmission in the euro area

In a panel data framework applied to Portfolio Distance-to-Default series of corporate sectors in the euro area, this paper evaluates systemic and idiosyncratic determinants of default risk and examines how distress is transferred in and between the financial and corporate sectors since the early days of the euro. This approach takes into account observed and unobserved common factors and the presence of different degrees of cross-section dependence in the form of economic proximity. This paper contributes to the financial stability literature with a contingent claims approach to a sector-based analysis with a less dominant macro focus while being compatible with existing stress-testing methodologies in the literature. A disaggregated analysis of the different corporate and financial sectors allows for a more detailed assessment of specificities in terms of risk profile, i.e. heterogeneity of business models, risk exposures and interaction with the rest of the macro environment.     

The Valuation of Multivariate Contingent Claims in Discrete Time Models

There are several examples in the literature of contingent claims whose payoffs depend on the outcomes of two or more stochastic variables. Familiar cases of such claims include options on a portfolio of options, options whose exercise price is stochastic, and options to exchange one asset for another. This paper derives risk neutral valuation relationships (RNVRs) in a discrete time setting that facilitate the pricing of such complex contingent claims in two specific cases: joint lognormally distributed underlying variables and constant proportional risk aversion on the part of investors, and joint normally distributed underlying variables and constant absolute risk aversion preferences, respectively. This methodology is then applied to the valuation of several interesting complex contingent claims such as multiperiod bonds, multicurrency option bonds, and investment options.     

Managerial entrenchment, equity payout and capital structure

I develop a contingent claims model to examine the impacts of managerial entrenchment on capital structure and security valuation. The analysis shows that managers’ self-interested leverage choices deviate significantly from the optimal leverages that maximize firm values, partially explaining the suboptimal leverage ratios observed empirically (Graham, 2000). Both the extent and sensitivity of the deviations are affected by firm characteristics, debt features and default solutions. The shareholder-manager conflicts over risk level and cash payout vary dynamically with a firm’s financial health. Managerial entrenchment does not mitigate the agency problems of debt since managers’ discretionary decisions on milking properties or asset substitution could be driven by incentives to increase their own utility.     

Portfolio choice and mortality-contingent claims: The general HARA case

We solve a portfolio choice problem that includes mortality-contingent claims and labor income under general HARA preferences. Our contribution beyond existing literature is to (i) focus on the covariance between shocks to human capital and financial capital, to (ii) model the utility of a family with basic needs and (iii) include life insurance and pension annuity claims in one unified life-cycle model. Our solution employs a “similarity reduction” mapping which reduces the two-dimensional HJB equation into one dimension. This allows for the implementation of a quick numerical scheme. And, when shocks to human capital and financial capital are perfectly correlated, a closed-form expression is obtained as a special case.     

The Cost of Pension Insurance

This article estimates the cost of the federal pension insurance program. Pension insurance claims have an important market‐risk component, which means that the cost of the exposure cannot be estimated by discounting future claims by the risk‐free rate. Moreover, owing to the complexity of the insurance contract, its price cannot be estimated with known options formulas without introducing an error of nonquantifiable magnitude. To circumvent these problems, we model the insurance program in its full complexity and use a Monte Carlo method. By hedging the exposure with a dynamic premium policy that offloads the market risk to the insureds, one can calculate the risk‐free, or actuarial, cost of that policy. One can also characterize the nature of the subsidy and its structure across insured plans. Finally, we provide an estimate of the implicit cost of the hedge function that taxpayers currently are providing for zero remuneration. The model shows that simple contingent claims models of pension insurance result in a price that is about triple the true market cost of the insurance, and that pension insurance models that ignore market risk understate the cost by half. The solution demonstrates the broad characteristics that might characterize a credible private‐sector version of pension insurance.     

Empirical performance of multifactor term structure models for pricing and hedging Eurodollar futures options

This article compares two one-factor, two two-factor, two three-factor models in the HJM class and Black's [Black, F. (1976). The pricing of commodity contracts. Journal of Financial Economics, 3, 167-179.] implied volatility function in terms of their pricing and hedging performance for Eurodollar futures options across strikes and maturities from 1 Jan 2000 to 31 Dec 2002. We find that three-factor models perform the best for 1-day and 1-week prediction, as well as for 5-day and 20-day hedging. The moneyness bias and the maturity bias appear for all models, but the three-factor models produce lower bias. Three-factor models also outperform other models in hedging, in particular for away-from-the-money and long-dated options. Making Black's volatility a square root or exponential function performs similar to one-factor HJM models in pricing, but not in hedging. Correctly specified and calibrated multifactor models are thus important and cannot be replaced by one-factor models in pricing or hedging interest rate contingent claims.     

The impact of non-traditional activities on the estimation of bank efficiency: International evidence

This paper investigates the relevance of non-traditional activities in the estimation of bank efficiency levels using a sample of 752 publicly quoted commercial banks from 87 countries around the world, allowing comparison of the impact of such activities under different levels of economic development, geographical regions and other country characteristics. We estimate both cost and profit efficiency of banks using a traditional function that considers loans and other earnings assets as the only outputs, and two additional functions to account for non-traditional activities, one with off-balance sheet (OBS) items and the other with non-interest income as an additional output. Controlling for cross-country differences in regulatory and environmental conditions, we find that, on average, cost efficiency increases irrespective of whether we use OBS or non-interest income, although the results for profit efficiency are mixed. Our results also reveal that while the inclusion of non-traditional outputs does not alter the directional impact of environmental variables on bank inefficiency, regulations that restrict bank activities and enhance monitoring and supervision provisions improve both cost and profit efficiency.     

Model-free hedge ratios and scale-invariant models

A price process is scale-invariant if and only if the returns distribution is independent of the price measurement scale. We show that most stochastic processes used for pricing options on financial assets have this property and that many models not previously recognised as scale-invariant are indeed so. We also prove that price hedge ratios for a wide class of contingent claims under a wide class of pricing models are model-free. In particular, previous results on model-free price hedge ratios of vanilla options based on scale-invariant models are extended to any contingent claim with homogeneous pay-off, including complex, path-dependent options. However, model-free hedge ratios only have the minimum variance property in scale-invariant stochastic volatility models when price–volatility correlation is zero. In other stochastic volatility models and in scale-invariant local volatility models, model-free hedge ratios are not minimum variance ratios and our empirical results demonstrate that they are less efficient than minimum variance hedge ratios.     

The effects of costly exploration on optimal investment timing

This paper investigates a principal–agent model in which an owner (principal) optimizes a contract with a manager (agent) who has been delegated to undertake an investment project. In the model, we explore the effects of costly exploration by which the manager learns the real value of development cost. We show that high exploration cost can lead to a pooling policy not contingent on project type. Further, and more notably, we show that, in the presence of asymmetric information, higher exploration cost leads to wealth transfer from owner to manager and can ultimately improve social welfare.