A Jump/Diffusion Consumption-Based Capital Asset Pricing Model and the Equity Premium Puzzle

This paper derives the equilibrium excess returns on risky assets in an exchange economy where the underlying exogenous uncertainty is a combination of a pure multidimensional jump process and a diffusion model. We derive closed-form solutions for the interest rate and the risk premiums on risky assets for a traditional class of separable utility indices. Our analysis demonstrates that when the underlying jumps of the aggregate consumption process are not negligible, then the traditional form of the consumption-based capital asset princing model need not hold and the asset risk premiums may be larger than predicted by the traditional CCAPM in continuous time, based on pure Itô diffusion processes. Our analysis suggests an explanation for the large estimates of the risk premiums reported in empirical tests of the single-beta CCAPM.     

Hedging costs and joint determinants of premiums and spreads in structured financial products

Evaluating more than 317,000 discount certificates in the German secondary market, we find that premiums and spreads are endogenous and negatively related but depend on different key determinants. The fundamental determinants of the premiums are mainly profit-related, that is, dividends of the underlying, issuers’ credit risk, lifecycle effect, and competition, whereas hedging costs are less important. However, initial hedging costs (IHC) are priced into the premium in the case of large inventory changes. The spread is mostly determined by hedging costs and risk components, such as IHCs, rebalancing costs, volatility, scalper risk, and overnight gap risk—but also by dividends.     

Variance and skew risk premiums for the volatility market: The VIX evidence

We extract variance and skew risk premiums from volatility derivatives in a model-free way and analyze their relationships along with volatility index and equity index returns. These risk premiums can be synthesized through option trading strategies. Using a time series of option prices on the VIX, we find that variance swap excess return can be partially explained by volatility index and equity index excess returns while these latter variables carry little information for the skew swap excess return. The results sharply contrast with those obtained for the equity index option market underlining very specific characteristics of the volatility derivative market.     

Earnings announcement timing,uncertainty, and volatility risk premiums

We examine the relationship between firms’ quarterly earnings report timing and uncertainty before quarterly earnings announcements. Prior research provides conflicting predictions on how investor uncertainty and report timing are related. Using implied volatilities from equity options and the realized returns to straddle positions, we find evidence that uncertainty and volatility risk premiums are higher for firms that report later in the quarter. Further tests show that the increase in option premiums is unexplained by risk factors suggesting a mispricing by investors. These results are not associated with static firm-level factors and our findings are concentrated in high growth firms.     

Yield curve risks in currency carry forwards

We provide empirical evidence that cross-country yield curve gaps (parallel gap, twist gap, and butterfly gap) are predictive to the expected currency carry premiums using currency forward contracts. We find that the expected currency gains are more notable as these yield curve risk factors at time t indicate short-term bond prices of investment currencies to go up (positive parallel movement, negative twist, and positive butterfly). We also find carry gains are more sensitively affected by cross-country monetary shocks than currency-country inflation pressures and business cycles. Our findings support that cross-country yield curve risk premiums still exist even after considering transaction costs.     

Estimates of the cost of equity for public utilities, 1961–1976

Using a simple version of the dividend cash flow (DCF) model of stock valuation, the cost of equity for public utilities is often inferred to be equal to the sum of the dividend yield and the expected rate of growth in dividends. Witnesses who employ this approach generally extrapolate past growth patterns into the future and then assume that investors expect these trends to continue; no effort is made to actually assess the expectations of investors. This approach to estimating the cost of equity for public utilities is criticized for the failure to develop testable hypotheses as an inferential basis for testing the statistical reliability of estimates of the cost of equity. This article demonstrates an alternative to the traditional approach, based on the premise that reliable estimates of the cost of equity are derived only within a methodological framework that produces testable hypotheses. The Gordon model of share valuation is formulated in such a way as to show that there is a systematic and predictable relationship between the ratio of market price to book value of common stock and a firm's normal or expected return on equity. This relationship suggests an econometric model that not only tests the Gordon model of share valuation but produces at the same time, inferences concerning the cost of equity. Using this approach, year-end estimates of the cost of equity for electric utilities are determined for the 16-yr period from 1961 to 1976.     

PERFECT AND PARTIAL HEDGING FOR SWING GAME OPTIONS IN DISCRETE TIME

The paper introduces and studies hedging for game (Israeli) style extension of swing options considered as multiple exercise derivatives. Assuming that the underlying security can be traded without restrictions, we derive a formula for valuation of multiple exercise options via classical hedging arguments. Introducing the notion of the shortfall risk for such options we study also partial hedging which leads to minimization of this risk.     

Examining Determinants of Foreign Wage Premiums in China

We estimate foreign wage premiums for every 3‐digit manufacturing industry in China and discover a wide range of premiums both for ‘foreign’ ownership and for overseas Chinese ownership. Foreign ownership generates larger and more prevalent wage premiums than overseas Chinese ownership, but both produce premiums that respond similarly in estimates of determinants. Using the number of computers per worker to measure firms' technology levels, we find evidence consistent with the hypothesis that foreign firms pay higher wages to reduce the risk of worker turnover and the accompanying technology leakage in 76 to 78 per cent of industries. However, this determinant explains only 5 to 6 per cent of the foreign wage premium. We find the most intensive support for the ‘fair wage’ hypothesis that foreign firms pay higher wages because they are more profitable than domestic firms and workers in more profitable firms expect to be paid more, otherwise they will shirk. This hypothesis explains an average of 8 to 9 per cent of the foreign wage premiums, with support found in 72 to 75 per cent of the industries. When we consider the best combination of explanatory variables to include in each industry's wage regression, we find evidence consistent with our combined hypotheses in most industries, but we still find large residual foreign wage premiums.     

生命表更新对我国寿险产品保费影响的定量分析

从2006年起,我国寿险产品定价使用新的生命表,这将影响寿险产品保费计算的关键因素——死亡率。本文运用寿险精算理论,从定量角度分析了生命表更新对定期寿险、生存年金和两全保险等基本寿险产品保费的影响。研究结果表明,生命表更新后,定期寿险和两全保险的保费降低了,男性保费的变化幅度小于女性,而对于生存年金,结果恰好相反;保费的变化程度还取决于投保年龄、保险期限、利率和性别等因素。     

Cross-listing and bonding premium: Evidence from Chinese listed companies

This paper examines whether cross-listing enables firms to earn a higher valuation. We contrast a sample of 580 Chinese firms cross-listed on the B-share market of China and 159 Chinese firms cross-listed on the Hong Kong H-share market against a control sample of domestic firms listed only on the A-share market of China. It is found that firms cross-listed on B-share and H-share markets both enjoy bonding premiums. Moreover, the bonding premium is larger for H-share firms than for B-share firms. Results show that the amount of bonding premium is positively related to the level of investor protection, which provides supporting evidence to the bonding theory.     

The Valuation of American Options on Multiple Assets

In this paper we provide valuation formulas for several types of American options on two or more assets. Our contribution is twofold. First, we characterize the optimal exercise regions and provide valuation formulas for a number of American option contracts on multiple underlying assets with convex payoff functions. Examples include options on the maximum of two assets, dual strike options, spread options, exchange options, options on the product and powers of the product, and options on the arithmetic average of two assets. Second, we derive results for American option contracts with nonconvex payoffs, such as American capped exchange options. For this option we explicitly identify the optimal exercise boundary and provide a decomposition of the price in terms of a capped exchange option with automatic exercise at the cap and an early exercise premium involving the benefits of exercising prior to reaching the cap. Besides generalizing the current literature on American option valuation our analysis has implications for the theory of investment under uncertainty. A specialization of one of our models also provides a new representation formula for an American capped option on a single underlying asset.     

Multiple Ratings Model of Defaultable Term Structure

A new approach to modeling credit risk, to valuation of defaultable debt and to pricing of credit derivatives is developed. Our approach, based on the Heath, Jarrow, and Morton (1992) methodology, uses the available information about the credit spreads combined with the available information about the recovery rates to model the intensities of credit migrations between various credit ratings classes. This results in a conditionally Markovian model of credit risk. We then combine our model of credit risk with a model of interest rate risk in order to derive an arbitrage‐free model of defaultable bonds. As expected, the market price processes of interest rate risk and credit risk provide a natural connection between the actual and the martingale probabilities.     

Mean–variance hedging of contingent claims with random maturity

We study the mean–variance hedging of an American-type contingent claim that is exercised at a random time in a Markovian setting. This problem is motivated by applications in the areas of employee stock option valuation, credit risk, or equity-linked life insurance policies with an underlying risky asset value guarantee. Our analysis is based on dynamic programming and uses PDE techniques. In particular, we prove that the complete solution to the problem can be expressed in terms of the solution to a system of one quasi-linear parabolic PDE and two linear parabolic PDEs. Using a suitable iterative scheme involving linear parabolic PDEs and Schauder's interior estimates for parabolic PDEs, we show that each of these PDEs has a classical C^{1, 2} solution. Using these results, we express the claim's mean–variance hedging value that we derive as its expected discounted payoff with respect to an equivalent martingale measure that does not coincide with the minimal martingale measure, which, in the context that we consider, identifies with the minimum entropy martingale measure as well as the variance-optimal martingale measure. Furthermore, we present a numerical study that illustrates aspects of our theoretical results.     

An Economic Analysis of Requirements to Prevent Handheld Hair Dryer Water Immersion Electrocutions in the USA

Before 1987, when handheld hair dryers were not required to protect against water immersion electrocutions, there were almost 16 such electrocutions annually in the USA. This article presents a retrospective evaluation of the benefits and costs of the 1987 and 1991 immersion protection requirements of the voluntary hair dryer safety standard in the USA. The benefits are based on estimates of the reduced risk of electrocution resulting from the requirements, and the valuation of the reduced risk derived from willingness to pay studies of the “value of statistical life” found in the economics literature. The costs were defined as the incremental costs associated with incorporating the immersion protection technology into handheld hair dryers. The study found that the requirements were highly effective and may have reduced the immersion-related mortality rate by almost 97%. The expected present value of the estimated benefits of the requirements amounted to about $4.56 per dryer in 2014 dollars and substantially exceeded the costs of about $2 per dryer. The primary outcome measure, the expected net benefits (i.e., benefits minus costs) of the requirements, amounted to an average of about $2.56 per hair dryer, over the hair dryer’s expected product life. Given sales of about 23 million handheld hair dryers annually, the present value of the expected net benefits associated with 1 year’s production would have amounted to about $58.9 million. A sensitivity analysis showed that the major findings were robust with respect to changes in the underlying parameters of the analysis. The study also discusses the factors leading to a high rate of effectiveness estimated for the immersion protection requirements.     

CONVEX RISK MEASURES FOR GOOD DEAL BOUNDS

We study convex risk measures describing the upper and lower bounds of a good deal bound, which is a subinterval of a no‐arbitrage pricing bound. We call such a convex risk measure a good deal valuation and give a set of equivalent conditions for its existence in terms of market. A good deal valuation is characterized by several equivalent properties and in particular, we see that a convex risk measure is a good deal valuation only if it is given as a risk indifference price. An application to shortfall risk measure is given. In addition, we show that the no‐free‐lunch (NFL) condition is equivalent to the existence of a relevant convex risk measure, which is a good deal valuation. The relevance turns out to be a condition for a good deal valuation to be reasonable. Further, we investigate conditions under which any good deal valuation is relevant.     

Pricing models of equity swaps

This article provides a generalized formula for pricing equity swaps with constant notional principal when the underlying equity markets and settlement currency can be set arbitrarily. To derive swap values using the risk‐neutral valuation method, the swap payment is replicated at each settlement date by constructing a self‐financing portfolio. To obtain the foreign equity index return denominated in the domestic or in a third currency, equity‐linked foreign exchange options are used to hedge the exchange rate risk. It is found that if the swap involves international equity markets, then the swap value contains an extra term which reflects the currency hedging costs. This methodology can easily be applied to price various types of equity swaps simply by modifying the specifications of the model presented here as required. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:751–772, 2003     

Country of origin: A competitive advantage?

Country of origin has been identified in the literature as an important cue that might be used by global marketers to influence consumers' valuation of the brand. Its effect on consumer perceptions, affect and behavioral intentions has been widely documented, based on consumer surveys and laboratory experiments. Despite this empirical evidence, we argue that country of origin is only one extrinsic cue among many extrinsic and intrinsic cues available to the consumer in a real purchase situation. Furthermore, in real life, consumers are likely to engage in some level of information search, which would further dilute the country of origin effect in the marketplace. Based on these arguments, we conclude that country of origin might not necessarily lead to a competitive (dis)advantage in terms of a price premium or discount. For a sample of products, we show that the objective product quality varies significantly by country of origin, and that these differences are consistent with extant research on country of origin effects on consumers' perceptions. After controlling for quality differences across brands, we demonstrate that marketers from different countries charge prices that are justified by differences in product quality. Price premiums or discounts are therefore explained by differences in product quality rather than the image effect produced by the country of origin cue.     

American option valuation: Implied calibration of GARCH pricing models

This study analyzes the issue of American option valuation when the underlying exhibits a GARCH‐type volatility process. We propose the usage of Rubinstein's Edgeworth binomial tree (EBT) in contrast to simulation‐based methods being considered in previous studies. The EBT‐based valuation approach makes an implied calibration of the pricing model feasible. By empirically analyzing the pricing performance of American index and equity options, we illustrate the superiority of the proposed approach. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark     

The Relation between Physical and Risk‐neutral Cumulants

Variance swaps are natural instruments for investors taking directional bets on volatility and are often used for portfolio protection. The empirical observation on skewness research suggests that derivative professionals may also desire to hedge beyond volatility risk and there exists the need to hedge higher‐moment market risks, such as skewness and kurtosis risks. We study two derivative contracts – skewness swap and kurtosis swap – which trade the forward realized third and fourth cumulants. Using S&P 500 index options data from 1996 to 2005, we document the returns of these swap contracts, i.e., skewness risk premium and kurtosis risk premium. We find that the both skewness and kurtosis risk premiums are significantly negative.     

The Chinese RMB: Its Value,Its Peg,and Its Future

The valuation of the Chinese renminbi (RMB) has drawn lots of attention lately and a great deal of pressure on the part of developed nations for revaluation. In addressing the issue of valuation, this paper develops a new purchasing power parity (PPP) index of China’s exchange rate and finds that the while undervalued, the undervaluation is neither unusual nor bad policy. Moreover, China’s overall external trade balance does not seem to be that far out of equilibrium. China’s desire to join the G-7 club is likely to result in abandoning its peg, however, despite the increased risk to its economic development.JEL Classification F310