New tips from TIPS: Identifying inflation expectations and the risk premia of break-even inflation

This paper decomposes the break-even inflation rates derived from inflation-indexed bonds into inflation risk premia, liquidity risk premia, and inflation expectations. I estimate a common factor model with autoregressive conditionally heteroscedastic (ARCH) errors that extracts co-movements from twenty-two monthly and quarterly indicators to identify these three components. The results indicate that the sharp declines in the 10-year and 5-year break-even inflation rates in 2009 reflect a substantial increase in liquidity risk rather than a decrease in inflation expectations. Break-even inflation rates underestimate inflation expectations over nearly the entire sample due to the liquidity risk premia carried by the inflation indexed bond yields. Also, the model-implied inflation expectations show better forecast performance for the average annual inflation rates than raw break-even inflation rates, the Survey of Professional Forecasters, and the Surveys of Consumers inflation forecasts.     

What drives the liquidity premium in the Chinese stock market?

This paper examines the dynamics of the liquidity premium in the Chinese stock market by adopting a multivariate decomposition approach to measure the individual contributions of various driving forces of the premium (such as firm size, idiosyncratic volatility, and market liquidity betas). By employing a wide range of liquidity measures, we show that liquidity premium is generally significant in the Chinese stock market. Furthermore, this premium is increasing in recent years starting from 2011; this observation is different from the United States market, in which the premium has declined over the years. Moreover, the multivariate decomposition approach highlights several asset pricing factors as the main driving forces of the premium. Based on the Amihud liquidity measure, the decomposition approach indicates that the size factor contributes 45–65% to the liquidity premium. However, the measure based on turnover suggests that idiosyncratic volatility accounts for at least 60% of the liquidity premium. In contrast, the global market liquidity beta does not significantly contribute to the premium. However, there is some evidence that the local market liquidity beta has become more significant in its impact on the premium during the period from 2011 to 2015. Our results imply that the findings on the liquidity premium in the Chinese stock market could be sensitive to the liquidity measure used and period of analysis.     

UNCOVERING THE COMMON RISK‐FREE RATE IN THE EUROPEAN MONETARY UNION

We introduce longitudinal factor analysis (LFA) to extract the common risk‐free (CRF) rate from a sample of sovereign bonds of countries in a monetary union. Since LFA exploits the typically very large longitudinal dimension of bond data, it performs better than traditional factor analysis methods that rely on the much smaller cross‐sectional dimension. European sovereign bond yields for the period 2006–2011 are decomposed into a CRF rate, a default risk premium and a liquidity risk premium. Our empirical findings suggest that investors chase both credit quality and liquidity, and that they price double default risk on credit default swaps. Copyright © 2013 John Wiley & Sons, Ltd.     

TIPS and the VIX: Spillovers from Financial Panic to Breakeven Inflation in an Automated,Nonlinear Modeling Framework

This paper examines the determinants of the breakeven inflation rate (BEI) on U.S. Treasury Inflation Protected Securities. After controlling for several measures of liquidity, inflation expectations and inflation uncertainty; financial fear itself (proxied with the Volatility Index or VIX) remains a primary influence on BEI. To delve into the mechanism underlying this association, the VIX is decomposed, using intraday data, into conditional variance and the variance premium capturing risk aversion. Aside from the 2008 crisis, most of the effect emanated from the variance premium. Following the crisis, indicators of bank insolvency risk gain prominence as well. Lastly, an automated nonlinear model finds convex effects of variance, and diminishing returns to insolvency risk and liquidity.     

流动性与交易所市场回购利率

在发达的金融市场上,回购利率的期限结构服从纯预期假设,无论从经济意义上还是从统计意义上来说风险溢酬都不显著。但是中国金融市场作为新兴市场表现出一些不同点。本文利用2000年1月到2006年2月上海证券交易所的回购数据,发现长期回购利率有明显的风险溢酬,预期理论并不成立。进一步分析得到流动性是影响风险溢酬的一个关键因素,流动性的预期和流动性的随机冲击都对观察到的风险溢酬有影响,并且流动性的预期是主要的影响因素。     

Pricing vulnerable options with stochastic liquidity risk

In this paper, we consider vulnerable options with stochastic liquidity risk. We employ liquidity-adjusted pricing models to describe the underlying stock price and option issuer’s assets. In addition, the correlation between these assets is stochastic, depending on the market liquidity measures. In the proposed framework, we derive closed forms of vulnerable European options with stochastic liquidity risk and then use them to illustrate the effects of stochastic liquidity risk on vulnerable option prices. Numerical results show that the effects of liquidity risk on the prices of out-of-the-money options or the options with a short maturity are not negligible.     

Economic policy uncertainty and illiquidity return premium

In this study, we examine the relation between the price of liquidity, or illiquidity return premium, and the economic policy uncertainty (EPU). On average, an illiquid portfolio earns a 0.597% higher monthly return than a liquid portfolio. The results further show that the EPU index has a positive relationship with the illiquidity return premium. This indicates that investors require higher compensation for holding illiquid stocks when there is a higher economic uncertainty. We also show that EPU affects the illiquidity return premium through the market illiquidity channel. The rise of EPU could increase the risk of illiquid stocks and make investors more risk-averse, thereby requiring higher compensation for illiquidity. Finally, it is found that the relationship between EPU and the illiquidity return premium is stronger when market liquidity is impaired and during crises.     

Explaining the Czech interbank market risk premium

This paper focuses on the development of the interbank market risk premium in the Czech Republic during the global financial crisis. We explain the significant departure of interbank interest rates from the key monetary policy rate by a combination of different factors, including liquidity risk, counterparty risk, foreign influence, interbank relations, and strategic behavior. The results suggest a relevant role of market factors and some importance of counterparty risk.     

How money illusions and heterogeneous beliefs affect asset prices

We develop a dynamic asset pricing model with two investors with money illusions and heterogeneous beliefs about some aspects of the economy. The model is tractable and delivers closed forms for all equilibrium quantities. The study shows that money illusion leads the nominal shock risk to generate spillover effects on the real side of the economy and affects all equilibrium quantities, even without inflation disagreement. We find that bond yields increase, but the stock price decreases, as money illusion increases. Bond yield and stock price volatilities increase with fundamental disagreement, while the latter decreases with inflation disagreement. We also discover that the stock risk premium is inverse-U shaped as inflation disagreement increases. Moreover, we find that the optimistic investor holds positions in real bonds and stocks, and shorts the nominal bond to hedge against the risk of market changes, which is in line with the pessimistic investor’s beliefs.     

Investigating Excess Returns from Nominal Bonds*

Estimated real returns on nominal bonds show excess returns of some 200 bp over their index‐linked equivalent. This paper considers two possible explanations for this large difference. First, we assess the likely inflation risk premium by calibrating a model of optimal bond prices under uncertainty. Employing either of CRRA or Abel (1990) relative consumption utility function to derive the stochastic discount factor and covariation risk, we suggest that the inflation risk component of this excess return is unlikely to be much above 50 bp. Secondly, we find little evidence that these excess returns can be ascribed to consistent expectational errors in predicting inflation.     

European quanto option pricing in presence of liquidity risk

In this paper, we study the pricing problems of the European quanto options in which the underlying foreign asset is in imperfectly liquid markets. First, we assume that the dynamics of the underlying foreign asset price are affected by market liquidity and propose a liquidity-adjusted quanto model. This allows for the effects of market liquidity on European quanto option pricing. And then we derive the analytical pricing formulas for four different types of European quanto options. Finally, we empirically investigate the pricing performance of our proposed model with a European quanto construction involving the SSE 50 ETF, as the underlying asset, and the CNY/HKD exchange rate. Empirical results demonstrate that the pricing accuracy of the proposed model is markedly superior to that of the Black-Scholes quanto model. In other words, allowing for liquidity risk in the framework of European quanto option pricing can make markedly improvements in fitting the real market data. Particularly, the improvement rate is high for medium-term and out-of-the-money options. Moreover, these results are robust for different liquidity measures.     

Monetary policy and the term premium

The term premium has become increasingly important in discussions of monetary policy formulation. This paper reviews two approaches to embedding a variable term premium into an otherwise standard modern DSGE model. The first approach maintains frictionless asset trade but alters preferences so that agents are more averse to the risk in long bonds. The second approach uses traditional preferences, but segments asset trade between long and short bonds. Policy issues are also discussed.     

The global bond sell‐off – why and where next?

• The rise in global bond yields since mid‐April has taken markets by surprise. Our analysis suggests that, on balance, some upward correction in yields was justified – especially in the Eurozone. For the US, the evidence is more mixed.
• A variety of explanations have been advanced to explain the bond sell‐off including Eurozone reflation/inflation, looming US rate hikes and associated uncertainty, liquidity and other technical factors, Chinese reflation and a simple reversal of yields overshooting to the downside.
• Some of these explanations are more convincing than others: in our view there is some modest evidence for increased uncertainty and liquidity effects but we also think bonds have corrected from overbought levels, especially in the Eurozone.
• Using some econometric models of bond yields suggests that the recent upward correction of German yields was probably justified; markets had pushed yields too low earlier in 2015. Indeed, the model implies a further ‘corrective’ rise in yields is possible.
• For the US, different models give slightly different results – a variant of the well‐known Shiller‐Modigliani model suggests yields should still be below 2%. However, a broader error‐correction model including factors such as fiscal variables and foreign flows into US bonds suggests the recent rise in yields was broadly justified.

     

中国企业债券特征与风险补偿

利率风险、信用风险、流动性风险是债券市场上常见的风险类型,而债券的特征可以直接或间接地反映这些风险。本文通过分析中国企业债券市场上的债券发行量、已发行时间、债券期限、息票利率、收益率波动性、久期、凸性、到期收益率等债券特征对债券定价的影响,实证检验这些债券特征与债券风险及风险补偿的关系。本文的分析结论认为,这些债券特征显著地影响企业债券的定价,它们与利率风险、信用风险和流动性风险有显著关系,其中对企业债券信用风险的影响最大。流动性风险未被合理定价,低流动性债券未能获得显著的风险补偿。     

The effects of real and nominal uncertainty on inflation and output growth: some garch‐m evidence

In this paper we use GARCH‐M methods to test four hypotheses about the effects of real and nominal uncertainty on average inflation and output growth in the United States from 1948 to 1996. We find no evidence that higher inflation uncertainty or higher output growth uncertainty raises the average inflation rate. We also find no support for the idea that more risky output growth is associated with a higher average real growth rate. Our key result is that in a variety of models and sample periods, inflation uncertainty significantly lowers real output growth. Copyright © 2000 John Wiley & Sons, Ltd.     

UK term structure decompositions at the zero lower bound

This paper employs a zero lower bound (ZLB) consistent shadow‐rate model to decompose UK nominal yields into expectation and term premium components. Compared to a standard affine term structure model, it performs relatively better in a ZLB setting by capturing the stylized facts of the yield curve. The ZLB model is then exploited to estimate inflation expectations and risk premiums. This entails jointly pricing and decomposing nominal and real UK yields. We find evidence that medium‐ and long‐term inflation expectations are contained within narrower bounds since the early 1990s, suggesting monetary policy credibility improved after the introduction of inflation targeting.     

非有效市场股权风险溢价的确定——基于投入产出分析

从实体经济领域着手,运用投入产出分析构建了非有效市场股权风险溢价计算模型,并运用所构建模型计算了我国整体经济、主要行业以及目标企业的股权风险溢价,进而确定了目标企业股权价值评估时应采用的折现率。     

Returns-to-scale and the equity premium puzzle

A model of heterogenous firms facing idiosyncratic risk is proposed which generates an equity premium of 6 per cent and a risk-free rate of 1.5 per cent even if aggregate returns are risk-free. The premium in this model reflects diminishing returns-to-scale and the fact that equity shares are equal claims to firm output. In the bond market, the risk-free rate reflects trade in assets at marginal rates of return with a linear technology and thus the equity premium in excess returns reflects a comparison of average returns with marginal returns. In the model, credit constraints lower the equity premium and, absent such constraints, the equity premium would roughly double. Since the model may be interpreted as a model of entrepreneurship, this paper also presents estimates from a structural model of entrepreneurship using data from the Survey of Consumer Finances and also finds only a modest level of risk aversion is sufficient to replicate entrepreneurial returns.     

Bond risk, bond return volatility, and the term structure of interest rates

This paper explores the time variation in the bond risk, as measured by the covariation of bond returns with stock returns and consumption growth, and in the volatility of bond returns. A robust stylized fact in empirical finance is that the spread between the yields on long- and short-term bonds forecasts future excess returns on bonds at varying horizons positively; in addition, the short-term nominal interest rate forecasts both the stock return volatility and the exchange rate volatility positively. This paper presents evidence that movements in both the short-term nominal interest rate and the yield spread are positively related to changes in the subsequent realized bond risk and bond return volatility. The yield spread appears to proxy for business conditions, while the short rate appears to proxy for inflation and economic uncertainty. A decomposition of bond betas into a real cash flow risk component and a discount rate risk component shows that yield spreads have offsetting effects in each component. A widening yield spread is correlated with a reduced cash-flow (or inflationary) risk for bonds, but it is also correlated with a larger discount rate risk for bonds. The short rate only forecasts the discount rate component of the bond beta.     

Variance swaps,non-normality and macroeconomic and financial risks

This paper studies the determinants of the variance risk premium and discusses the hedging possibilities offered by variance swaps. We start by showing that the variance risk premium responds to changes in higher order moments of the distribution of market returns. But the uncertainty that determines the variance risk premium – the fear by investors to deviations from normality in returns – is also strongly related to a variety of macroeconomic and financial risks associated with default, employment growth, consumption growth, stock market and market illiquidity risks. We conclude that the variance risk premium reflects the market willingness to pay for hedging against these financial and macroeconomic sources of risk. An out-of-sample asset allocation exercise shows that the inclusion of the variance swap reduces the modified value-at-risk with respect to a portfolio holding exclusively the equity market portfolio.