Comparison of selective hedging and options strategies in cattle feedlot risk management

A cattle feedlot marketing simulation model was developed and used to evaluate the performance of various feedlot marketing strategies. The marketing analysis included corn, feeder cattle, and fed cattle integrated marketing alternatives. A variety of strategies were compared including hedging and put option purchasing as signaled via profit margins or price forecasts. The results indicate that cattle feeders could have historically increased profitability and decreased the variability of profits through selective marketing by using either profit margins or price forecasts to signal market positions as compared to cash marketing strategies. In addition, several strategies were found that stochastically dominated cash marketing.     

The Inflation Hedging Characteristics of US and UK Investments: A Multi-Factor Error Correction Approach

Historic analysis of the inflation hedging properties of stocks has produced anomalous results, with stocks often appearing to offer a perverse hedge. This has been attributed to the impact of real and monetary shocks to the economy, which influence both inflation and asset returns. It has been argued that real estate should provide a better hedge: however, empirical results have been mixed. This paper explores the relationship between commercial real estate returns and economic, fiscal and monetary factors and inflation for US and UK markets. Comparative analysis of general equity and small capitalization stock returns is carried out with inflation divided into expected and unexpected components. The analyses are undertaken using an error correction approach. In the long run, once real and monetary variables are included, asset returns are positively linked to anticipated inflation but not to inflation shocks. Adjustment processes are, however, gradual and not within period. Real estate returns, particularly private market returns, exhibit characteristics that differ from those of stocks.

Pricing by hedging and no-arbitrage beyond semimartingales

We show that pricing a big class of relevant options by hedging and no-arbitrage can be extended beyond semimartingale models. To this end we construct a subclass of self-financing portfolios that contains hedges for these options, but does not contain arbitrage opportunities, even if the stock price process is a non-semimartingale of some special type. Moreover, we show that the option prices depend essentially only on a path property of the stock price process, viz. on the quadratic variation. We end the paper by giving no-arbitrage results even with stopping times for our model class.      

Hedging jet fuel price risk: The case of U.S. passenger airlines

Jet fuel accounts for a large portion of passenger airlines' operating costs, and airlines' earnings are susceptible to swings in the price of jet fuel. This study uses daily data over the past two decades to determine the minimum variance hedge ratio for airlines wishing to hedge jet fuel price risk with futures, while also establishing the best cross hedging asset. Airlines hedging with futures would create the most effective hedge by using heating oil futures contracts with a 3-month maturity. We also find that beyond the 3-month veil, increased time to maturity makes heating oil less effective as a cross hedge proxy for jet fuel. However, both in-sample analysis and Monte Carlo simulation results with daily data show that none of the 4 cross hedge proxies, including heating oil, can be considered highly effective.     

OPTION PRICING AND HEDGING WITH EXECUTION COSTS AND MARKET IMPACT

This paper considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price‐taking agent in a frictionless market, traders cannot be perfectly hedged because of execution costs and market impact. They indeed face a trade‐off between hedging errors and costs that can be solved by using stochastic optimal control. Our modeling framework, which is inspired by the recent literature on optimal execution, makes it possible to account for both execution costs and the lasting market impact of trades. Prices are obtained through the indifference pricing approach. Numerical examples are provided, along with comparisons to standard methods.     

Distribution‐constrained optimal stopping

We solve the problem of optimal stopping of a Brownian motion subject to the constraint that the stopping time's distribution is a given measure consisting of finitely many atoms. In particular, we show that this problem can be converted to a finite sequence of state‐constrained optimal control problems with additional states corresponding to the conditional probability of stopping at each possible terminal time. The proof of this correspondence relies on a new variation of the dynamic programming principle for state‐constrained problems, which avoids measurable selections. We emphasize that distribution constraints lead to novel and interesting mathematical problems on their own, but also demonstrate an application in mathematical finance to model‐free superhedging with an outlook on volatility.     

Leland's Approach to Option Pricing: The Evolution of a Discontinuity

A claim of Leland (1985) states that in the presence of transaction costs a call option on a stock S , described by geometric Brownian motion, can be perfectly hedged using Black–Scholes delta hedging with a modified volatility. Recently Kabanov and Safarian (1997) disproved this claim, giving an explicit (up to an integral) expression of the limiting hedging error, which appears to be strictly negative and depends on the path of the stock price only via the stock price at expiry S _T . We prove in this paper that the limiting hedging error, considered as a function of S _T , exhibits a removable discontinuity at the exercise price. Furthermore, we provide a quantitative result describing the evolution of the discontinuity: Hedging errors, plotted over the price at expiry, show a peak near the exercise price. We determine the rate at which that peak becomes narrower (producing the discontinuity in the limit) as the lengths of the revision intervals shrink.     

Ex Ante Hedging Effectiveness of UK Stock Index Futures Contracts: Evidence for the FTSE 100 and FTSE Mid 250 Contracts

Ex ante hedging effectiveness of the FTSE 100 and FTSE Mid 250 index futures contracts is examined for a range of portfolios, consisting of stock market indexes and professionally managed portfolios (investment trust companies). Previous studies which focused on ex post hedging performance using spot portfolios that mirror market indexes are shown to overstate the risk reduction potential of index futures. Although ex ante hedge ratios are found to be characterised by intertemporal instability, ex ante hedging performance of direct hedges and cross hedges approaches that of the ex post benchmark when hedge ratios are estimated using a sufficient window size.     

A Survey of Emerging Derivatives Markets

This paper summarizes theoretical and empirical research on the roles and functions of emerging derivatives markets and the resulting implications on policy and regulations. Previous studies revealed that commodity derivatives markets offered an effective and welfare-improving method to deal with price volatility. Financial derivatives markets have helped to support capital inflows into emerging market economies. On the other hand, the use of financial derivatives has led to exacerbated volatility and accelerated capital outflow. There is a consensus that derivatives are seldom the cause of a financial crisis but they could amplify the negative effects of the crisis and accelerate contagion. Previous studies of derivatives markets have supported the hedging role of emerging derivatives markets. Empirical results from a few emerging countries suggest a price discovery function of emerging futures markets. The findings on the price stabilization function of emerging derivatives markets are mixed. Finally, recent research has documented that constructive development of derivatives markets in emerging market economies needs to be supported by sound macroeconomic fundamentals as well as updated financial policies and regulations.