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Optimal Hedging and Valuation of Nontraded Assets

Review of Finance 2000 4(3), 231-251 open access
This paper examines a number of valuation problems faced by an expected-utility maximizing investor who, over a given time horizon, is constrained to hold an asset which cannot be replicated by dynamic trading and which therefore does not have a unique no-arbitrage price. We first derive the private valuation which the investor assigns to the nontraded asset in order to determine his optimal investment in the traded assets. We thereby show that, as part of this portfolio, the investor hedges the private valuation process of the nontraded asset, rather than its market price process. We also study the price at which the investor would be willing to sell the nontraded asset if he were subsequently prohibited from trading in it, as well as the amount the investor would be willing to pay to remove the trading restriction. All three values are shown to depend in an intuitive manner on the investor’s risk aversion, the residual risk of the nontraded asset unhedged by the traded assets, the difference between the constrained holding and optimal unconstrained holding of the asset and the length of the time horizon over which the asset cannot be traded.

The Valuation of Executive Stock Options in an Intensity-Based Framework

Review of Finance 2000 4(3), 211-230 open access
This paper presents a general intensity-based framework to value executive stock options (ESOs). It builds upon the recent advances in the credit risk modeling arena. The early exercise or forfeiture due to voluntary or involuntary employment termination and the early exercise due to the executive’s desire for liquidity or diversification are modeled as an exogenous point process with random intensity dependent on the stock price. Two analytically tractable specifications are given where the ESO value, expected time of exercise or forfeiture, and the expected stock price at the time of exercise or forfeiture are calculated in closed-form.

Does the Governed Corporation Perform Better? Governance Structures and Corporate Performance in Germany

Review of Finance 2000 4(2), 157-195 open access
Although there has been an intensive debate on the relative merits of different systems of corporate governance, empirical evidence on the link between corporate governance and firm performance almost exclusively refers to the market-oriented Anglo-Saxon system. This paper therefore investigates the more network- or bank-oriented German system. In panel regressions for 361 German corporations over the time period 1991 to 1996, we find ownership concentration to affect profitability significantly negatively. However, this effect depends intricately on stock market exposure, the location of control rights, and the time horizon (short-run vs. long-run). We conclude from our results that (1) the presence of large shareholders does not necessarily enhance profitability,(2) ownership concentration seems to be sub-optimal for many German corporations, and, finally, (3) having financial institutions as largest shareholders of traded corporations improves corporate performance.

Decreasing Yield Curves in a Model with an Unknown Constant Growth Rate

Review of Finance 2000 4(1), 51-67
The effect of incomplete information on the term structure of interest rates is examined in the framework of a pure exchange economy under uncertainty where aggregate output grows at a constant rate. If the growth rate is known, the term structure is flat. In contrast, the term structure is a decreasing curve when agents do not know the growth rate. Long term yields are less than the short rate and the yield of long term bonds is determined by the worst possible realizations of future short rates.

Bank Capital Standards for Market Risk: A Welfare Analysis

Review of Finance 1999 2(2), 125-157
We propose a simple model that is suitable for evaluating alternative bank capital regulatory proposals for market risk. Our model formalizes the conflict between bank objectives and regulatory goals. Banks' decisions represent a tension between their desire to exploit the deposit-insurance put option and their desire to preserve franchise value. Regulators seek to balance the social value of deposits in mediating transactions against the deadweight costs of failure resolution. Our social welfare criterion is standard: a weighted average agents' utilities. We demonstrate that banks do not incrementally alter their portfolio risk as the economic environment changes. Rather, banks either choose the minimal feasible risk or the maximal feasible risk. This pattern, in turn, drives regulatory decisions: The first goal of the regulator is to induce banks to choose the minimal risk level. For all nontrivial cases, unregulated banks fail to choose the first-best allocations. Traditional ex-ante capital requirements can induce banks to choose the socially-optimal level of portfolio risk, but the required capital is often inefficiently high. In contrast, variants of the Federal Reserve Board's precommitment proposal imply far smaller efficiency losses, and achieve allocations at or nearthe first-best for most reasonable model specifications. The ex-post penalties required for the optimal implementation of precommitment are not excessively large. The welfare gains from precommitment are even higher when the precommitment penalty function is precluded from sending banks into default. We conclude that state-contingent regulatory mechanisms, of which the precommitment approach is an example, offer the possibility of substantial gains in regulatory efficiency, relative to traditional state non-contingent regulation.

The Valuation of Contingent Claims under Portfolio Constraints: Reservation Buying and Selling Prices

Review of Finance 1999 3(3), 347-388 open access
With constrained portfolios contingent claims do not generally have a unique price that rules out arbitrage opportunities. Earlier studies have demonstrated that when there are constraints onthe hedge portfolio, a no-arbitrage price interval for any contingent claim exists. I consider the more realistic case where the constraints are imposed on the total portfolio of each investor and define reservation buying and selling prices for contingent claims. I derive properties of these prices, show how they can be computed numerically, and study two simple examples in which the reservation prices and the corresponding hedging strategies are compared to the Black–Scholes setting.

Corporate Risk Management for Multinational Corporations: Financial and Operational Hedging Policies

Review of Finance 1999 2(2), 229-246 open access
Under what conditions will a multinational corporation alter its operations to manage its risk exposure? We show that multinational firms will engage in operational hedging only when both exchange rate uncertainty and demand uncertainty are present. Operational hedging is less important for managing short-term exposures, since demand uncertainty is lower in the short term. Operational hedging is also less important for commodity-based firms, which face price but not quantity uncertainty. When the fixed costs of establishing a plant are low or the variability of the exchange rate is high, a firm may benefit from establishing plants in both the domestic and foreign location. Capacity allocated to the foreign location relative to the domestic location will increase when the variability of foreign demand increases relative to the variability of domestic demand or when the expected profit margin is larger. For firms with plants in both a domestic and foreign location, the foreign currency cash flow generally will not be independent of the exchange rate and consequently the optimal financial hedging policy cannot be implemented with forward contracts alone. We show that the optimal financial hedging policy can be implemented using foreign currency call and put options and forward contracts.