Jump variance risk: Evidence from option valuation and stock returns

We study jump variance risk by jointly examining both stock and option markets. We develop a GARCH option pricing model with jump variance dynamics and a nonmonotonic pricing kernel featuring jump variance risk premium. The model yields a closed-form option pricing formula and improves in fitting index options from 1996 to 2015. The model-implied jump variance risk premium has predictive power for future market returns. In the cross-section, heterogeneity in exposures to jump variance risk leads to a 6% difference in risk-adjusted returns annually.     

Oil jump risk

The risk premium associated with large upside jumps in oil market is a significant driver of the cross-section of stock returns from 1986 to 2014. In contrast to previous research, variance risk is priced only when we do not control for jumps. Upward jumps are priced in tight supply-demand conditions but not in more abundant supply periods. There is some evidence that downward jumps are priced in abundant supply conditions but not in tight conditions. Innovations in risk neutral jumps have predictive power for important economic indicators, including notably consumption growth. This helps explain the pricing of jump risks.     

资本资产定价模型的扩展及其在保险中的应用

传统的资本资产定价模型是在一系列过于严格化、理想化的条件下建立起来的。针对现实资本市场情况,通过对资本资产定价模型的应用条件的部分修改,如增加保险公司存在违约风险、交易费用和税收的条件,并且讨论交易费用分别为固定值和保费的函数时的情形以及税收分为固定值和变量的情形,对保费定价问题进行模型扩展。理论推导结果显示,在存在违约风险情况下,保险公司所收保费应该更低;承保费用越少,所需保费就越少;存在税负条件下的公平保费与税收水平有关。     

Good jump,bad jump,and option valuation

I develop a new class of closed‐form option pricing models that incorporate variance risk premium and symmetric or asymmetric double exponential jump diffusion. These models decompose the jump component into upward and downward jumps using two independent exponential distributions and thus capture the impact of good and bad news on asset returns and option prices. The empirical results show that the model with an asymmetric double exponential jump diffusion improves the fit on Shanghai Stock Exchange 50ETF returns and options and provides relatively better in‐ and out‐of‐sample pricing performance.     

AN EQUILIBRIUM GUIDE TO DESIGNING AFFINE PRICING MODELS

The paper examines equilibrium models based on Epstein–Zin preferences in a framework in which exogenous state variables follow affine jump diffusion processes. A main insight is that the equilibrium asset prices can be computed using a standard machinery of affine asset pricing theory by imposing parametric restrictions on market prices of risk, determined inside the model by preference and model parameters. An appealing characteristic of the general equilibrium setup is that the state variables have an intuitive and testable interpretation as driving the consumption and dividend dynamics. We present a detailed example where large shocks (jumps) in consumption volatility translate into negative jumps in equilibrium prices of the assets as agents demand a higher premium to compensate for higher risks. This endogenous “leverage effect,” which is purely an equilibrium outcome in the economy, leads to significant premiums for out‐of‐the‐money put options. Our model is thus able to produce an equilibrium “volatility smirk,” which realistically mimics that observed for index options.     

Feeder Cattle Options: Where’s the Beef?

Feeder cattle is one of the most important commodities in the livestock industry worldwide. Nonetheless, beef production is subject to many uncertainties; therefore, the risk management tools that agents use must be efficient. This article discusses the financial options available in the Brazilian futures market to feeder cattle producers and describes the best risk pricing model to determine the option premium. Our results consider several option pricing models and different types of volatility. The best pricing is obtained with the model of Bjerksund and Stensland with the implied volatility.     

波动率风险溢酬:基于香港和美国期权市场的研究

文章运用方差互换合约的思想,从香港恒生指数和美国S&P500指数现货和期权的价格中提炼出无模型波动率风险溢酬,并对其特征进行了考察。研究结果表明,香港股市和美国股市中的波动率风险的确被定价,且风险溢酬显著为负,说明两市投资者均体现出风险厌恶。但同时我们也发现两个市场投资者的行为模式存在差异。此外,香港和美国市场的波动率风险相关度很高,且存在明显的溢出效应。     

MODEL UNCERTAINTY AND ITS IMPACT ON THE PRICING OF DERIVATIVE INSTRUMENTS

Uncertainty on the choice of an option pricing model can lead to "model risk" in the valuation of portfolios of options. After discussing some properties which a quantitative measure of model uncertainty should verify in order to be useful and relevant in the context of risk management of derivative instruments, we introduce a quantitative framework for measuring model uncertainty in the context of derivative pricing. Two methods are proposed: the first method is based on a coherent risk measure compatible with market prices of derivatives, while the second method is based on a convex risk measure. Our measures of model risk lead to a premium for model uncertainty which is comparable to other risk measures and compatible with observations of market prices of a set of benchmark derivatives. Finally, we discuss some implications for the management of "model risk."     

相对财富与股票溢价之谜

Mehra和Prescott( 1 985 )提出著名的股票溢价之谜 (EquityPremiumPuzzle) :合理的相对风险规避系数 ,不能解释美国S&P5 0 0指数的收益率为什么比无风险债券的收益率高出 6个百分点。本文提出了一个基于相对财富的资产定价模型 ,其中代表性投资者的效用函数不但依赖于消费 ,还依赖于投资者的绝对财富 ,及社会平均财富。本文使用该模型 ,解释了股票溢价之谜。     

信用风险缓释工具对商业银行贷款定价之影响

本文基于我国上市公司的银行贷款数据,就信用风险缓释工具对商业银行贷款定价的影响进行了多视角的研究,发现只有抵押贷款和非抵押贷款的风险溢价间存在显著差异,且信用贷款和保证贷款的风险溢价显著小于抵押贷款。我国商业银行似乎对更高质量的风险缓释工具执行了较高的贷款利率,表明信用风险缓释工具在其贷款风险定价中未能得到应有的体现与反映。我国商业银行对抵押等工具的风险缓释作用的漠视,是与其特定的风险定价与激励机制有关;同时,基于供应链小企业融资中的过程控制等结构化设计等,讨论了如何降低抵押贷款风险溢价的方式和方法。     

DEFAULT RISK AND DIVERSIFICATION: THEORY AND EMPIRICAL IMPLICATIONS

Recent advances in the theory of credit risk allow the use of standard term structure machinery for default risk modeling and estimation. The empirical literature in this area often interprets the drift adjustments of the default intensity's diffusion state variables as the only default risk premium. We show that this interpretation implies a restriction on the form of possible default risk premia, which can be justified through exact and approximate notions of "diversifiable default risk." The equivalence between the empirical and martingale default intensities that follows from diversifiable default risk greatly facilitates the pricing and management of credit risk. We emphasize that this is not an equivalence in distribution, and illustrate its importance using credit spread dynamics estimated in Duffee (1999) . We also argue that the assumption of diversifiability is implicitly used in certain existing models of mortgage-backed securities.     

Speculative pressure

The paper investigates the information content of speculative pressure across futures classes. Long-short portfolios of futures contracts sorted by speculative pressure capture a significant premium in commodity, currency, and equity markets but not in fixed income markets. Exposure to commodity, currency, and equity index futures’ speculative pressure is priced in the broad cross-section after controlling for momentum, carry, global liquidity, and volatility risks. The findings are confirmed by robustness tests using alternative speculative pressure signals, portfolio construction techniques, and subperiods interalia. We argue that there is an efficient hedgers-speculators risk transfer in commodity, currency, and equity index futures markets.     

Market Excess Returns,Variance and the Third Cumulant

In this paper, we develop an equilibrium asset pricing model for market excess returns, variance and the third cumulant by using a jump‐diffusion process with stochastic variance and jump intensity in Cox et al. (1985) production economy. Empirical evidence with the S&P 500 index and options from January, 1996 to December, 2005 strongly supports our model prediction that the lower the third cumulant, the higher the market excess returns. Consistent with existing literature, the theoretical mean–variance relation is supported only by regressions on risk‐neutral variance. We further demonstrate empirically that the third cumulant explains significantly the variance risk premium.     

The relevance of currency risk in the EMU

We investigate how the elimination of intra-European exchange risk may affect international financial markets using a conditional version of the International CAPM. We estimate the EMU and non-EMU components of aggregate currency risk and document significant exposures to both. The premium for EMU risk is positive and associated with exposure to the French, Italian and Spanish currencies. The premium for non-EMU risk is consistently negative and accounts for most of the aggregate currency premiums. In the 1990s, exposures to EMU risk declined significantly while exposures to non-EMU risk increased. Hence the adoption of the Euro is unlikely to have a large impact on aggregate currency risk premiums.     

ASSET PRICING WITH NO EXOGENOUS PROBABILITY MEASURE

In this paper, we propose a model of financial markets in which agents have limited ability to trade and no probability is given from the outset. In the absence of arbitrage opportunities, assets are priced according to a probability measure that lacks countable additivity. Despite finite additivity, we obtain an explicit representation of the expected value with respect to the pricing measure, based on some new results on finitely additive measures. From this representation we derive an exact decomposition of the risk premium as the sum of the correlation of returns with the market price of risk and an additional term, the purely finitely additive premium, related to the jumps of the return process. We also discuss the implications of the absence of free lunches .     

EFFICIENCY GAINS IN BETA-PRICING MODELS1

Recent literature shows that the risk premium is efficiently estimated in the usual two-pass procedure, estimating betas in the unrestricted model, and then regressing returns on estimated betas. This paper shows that this is not so when allowing for factor unobservability. Imposing the financial theory restriction from the outset leads to a strictly positive efficiency gain in the risk premium estimation. In addition, the role of an associated efficiency gain in the beta estimation is studied in the context of a zero-beta model.     

THE EARLY EXERCISE PREMIUM REPRESENTATION OF FOREIGN MARKET AMERICAN OPTIONS1

The note deals with the pricing of American options related to foreign market equities. the form of the early exercise premium representation of the American option's price in a stochastic interest rate economy is established. Subsequently, the American fixed exchange rate foreign equity option and the American equity-linked foreign exchange option are studied in detail.     

The role of financial investors in determining the commodity futures risk premium

I develop and test a model to study the interaction between the commodity and stock markets. This study attempts to clarify the debate about the effect of financialization on commodity markets. Theoretically, the futures risk premium is determined by hedging pressure, stock market returns, and the commodity–equity correlation. Empirically, the effect of the stock market on the energy market became significantly greater for the futures risk premium in the period following the 2008 crisis. Furthermore, hedging pressure is a strong explanatory variable for the futures risk premium in various circumstances.     

Monetary policy in a developing economy with external debt: Theory and empirics

Using annual data from four open economies (Thailand, Indonesia, Mexico, and Chile), and estimating correlations and generalized impulse responses within the traditional vector autoregressive (VAR) analysis, we find that inflation, both in the short and long run, is negatively correlated with consumption, investment, and the stock of foreign debt. We propose an optimizing model of an open economy with outstanding foreign debt and borrowing constraint that could explain these empirics. In this economy, risk premium depends on creditworthiness measured by debt–income ratio. Firms operate under costly investment, and all transactions involving consumption and investment are subject to cash-in-advance (CIA) constraints.     

Derivatives pricing with liquidity risk

This paper develops a novel, general derivative pricing model which introduces a liquidity risk factor. The model variants we outline offer a sufficient degree of flexibility so as to enable the valuation of various types of derivative classes including futures, American options, and mortgage backed security options, whereas existing derivative models can only price liquidity risk in European derivatives. We validate the model with oil and gold futures data and compare it to a classical benchmark model void of any liquidity risk. We find that our model is significantly more accurate than the classical model for pricing both oil and gold contracts.