The risk of a currency swap: a multivariate-binomial methodology

In general, the risk of a financial instrument on a future valuation date depends on several stochastic variables. In the case of a currency swap, its value on a future date, can be modelled as a function of five stochastic variables. These represent the factors that determine the term structure of interest rates in the two currencies, and the foreign exchange rate between the currencies. The joint-probability distribution of the relevant variables on the horizon date is approximated by a multivariate-binomial distribution. The proposed methodology provides a fast and flexible alternative to Monte-Carlo simulation of the swap value. The distributions of value produced by the method can be employed to assist with both market and credit risk management.     

Hedging in the Possible Presence of Unspanned Stochastic Volatility: Evidence from Swaption Markets

This paper examines whether higher order multifactor models, with state variables linked solely to underlying LIBOR‐swap rates, are by themselves capable of explaining and hedging interest rate derivatives, or whether models explicitly exhibiting features such as unspanned stochastic volatility are necessary. Our research shows that swaptions and even swaption straddles can be well hedged with LIBOR bonds alone. We examine the potential benefits of looking outside the LIBOR market for factors that might impact swaption prices without impacting swap rates, and find them to be minor, indicating that the swaption market is well integrated with the LIBOR‐swap market.     

From turmoil to crisis: Dislocations in the FX swap market before and after the failure of Lehman Brothers

This paper investigates dislocations in the foreign exchange (FX) swap market between the US dollar and three major European currencies. After the failure of Lehman Brothers in September 2008, deviations from covered interest parity (CIP) were negatively associated with the creditworthiness of US financial institutions (as well as that of European institutions), consistent with the deepening of a dollar liquidity problem into a global phenomenon. US dollar term funding auctions by the ECB, SNB, and BoE, as well as the US Federal Reserve commitment to provide unlimited dollar swap lines are found to have ameliorated the FX swap market dislocations.     

Macroeconomic releases and the interest rate term structure

We extract two systematic economic factors from a wide array of noisy and sparsely observed macroeconomic releases, and link the dynamics and market prices of the two factors to the interest rate term structure. The two factors predict 77.9–82.1% of the daily variation in LIBOR and swap rates from one month to 10 years. Shocks on inflation-related releases have large, positive impacts on interest rates of all maturities, leading to parallel shifts of the yield curve, but shocks on output-related releases have larger impacts on the short rate than on the long rate, thus generating a slope effect.     

The Share of Systematic Variation in Bilateral Exchange Rates

Sorting countries by their dollar currency betas produces a novel cross section of average currency excess returns. A slope factor (long in high beta currencies and short in low beta currencies) accounts for this cross section of currency risk premia. This slope factor is orthogonal to the high‐minus‐low carry trade factor built from portfolios of countries sorted by their interest rates. The two high‐minus‐low risk factors account for 18% to 80% of the monthly exchange rate movements. The two risk factors suggest that stochastic discount factors in complete markets' models should feature at least two global shocks to describe exchange rates.     

互换利差特征与影响因素——基于人民币利率互换市场的研究

互换利差（Swap spread）是利率互换研究中最重要的问题之一。在国内相关研究仍属空白的情况下,本文首次对人民币利率互换市场的互换利差的变动特征和影响因素进行了统计和计量分析。结果表明,我国互换利差的影响因素较多,包括融资成本、流动性、违约风险因素、利率预期、曲线期限特征因素等。不同基准的利率互换利差影响因素不同,且短期和中长期互换利差影响因素也不相同。另外还发现,不同基准的互换之间、互换与现券之间的定价经常存在扭曲现象,实务中存在较大的套利机会。     

Australian and US interest rate swap markets: comparison and linkages

We investigate and compare the determinants of US and Australian interest rate swap spreads and the linkages between these markets. The slope of the risk‐free term structure is the most significant determinant and its importance is greater for longer terms to maturity. Interest rate levels and, in Australia, the default premium also have some impact. The influences of interest rate volatility, the liquidity premium and (in the USA) the default premium are small or negligible. We hypothesise, and our evidence confirms, that the US swap market significantly affects the Australian swap market but not vice‐versa.     

When and how US dollar shortages evolved into the full crisis? Evidence from the cross-currency swap market

This paper investigates when and how the US dollar shortages evolved into the full crisis in the cross-currency swap market between major European currencies and the US dollar during the turmoil of 2007-2009, using the dynamic factor model with regime-switching β coefficients of each swap price with respect to the latent common factor. The 1-year market entered the high-β crisis regime soon after the onset of the subprime problem in August 2007. The 10-year market entered that regime following the collapse of Bear Sterns in mid-March 2008. Financial credit spreads have significant predictive power for switches between high and low-β regimes.     

Carry Trades and Global Foreign Exchange Volatility

We investigate the relation between global foreign exchange (FX) volatility risk and the cross section of excess returns arising from popular strategies that borrow in low interest rate currencies and invest in high interest rate currencies, so‐called “carry trades.” We find that high interest rate currencies are negatively related to innovations in global FX volatility, and thus deliver low returns in times of unexpected high volatility, when low interest rate currencies provide a hedge by yielding positive returns. Furthermore, we show that volatility risk dominates liquidity risk and our volatility risk proxy also performs well for pricing returns of other portfolios.     

Cross-asset return predictability: Carry trades,stocks and commodities

Equity returns predict carry trade profits from shorting low interest rate currencies. Commodity price changes predict profits from longing high interest rate currencies. The gradual information diffusion hypothesis (Hong & Stein, 1999) provides a ready explanation for these predictability results. These results cannot be explained by time-varying risk premia as stock returns and commodity price changes significantly predict negative carry trade profits. The predictability is one-directional, from commodities to high interest rate currencies, from commodities to stocks and from stocks to low interest rate currencies.     

Dancing with dragon: The RMB and developing economies’ currencies

We analyse Chinese RMB co-movements with the currencies of other developing economies using daily data from January 1, 2006 to December 31, 2020. We find that the RMB plays an important role in East Asia & Pacific. Bilateral trade significantly increases the probability of RMB co-movements with other currencies while inflation differential decreases it. Additionally, the currencies of the economies that are more inclined to adopt a pegging system are less likely to co-move with the RMB. We further divide the sample into three sub-periods based on two major China’s currency reforms and the results are consistent with our main finding. We also investigate the nonlinear determinants of RMB co-movements in high and low volatility regimes, respectively, and show the different patterns. Last but not least, we find that RMB currency swap and the Belt and Road Initiative amplify RMB co-movements in larger and more developed economies.     

利率互换定价存在的障碍及解决办法

根据我国利率互换市场现状，着重分析我国利率互换定价目前存在的障碍，阐述一种可行的定价方法，通过拟合交易所国债的利率期限结构计算出远期利率代替未来浮动端的参考利率确定浮动端现金流，令利率互换固定端现金流与之相等，得出固定利率。定价结果表明本文阐述的方法能够提供一种较为有效的对利率互换定价的方法，可以作为实际交易过程中的定价参考。     

Determinants of interest rate swap spreads

This study argues that an interest rate swap, as a non-redundant security, creates surplus which will be shared by swap counterparties to compensate their risks in swaps. This action in turns affects swap spreads. Analyzing the time series impacts of the changes of risks of swap counterparties on swap spreads, we conclude that both lower and higher rating bond spreads have positive impacts on swap spreads. We also derive a risk–spread relation to test if swap counterparties are firms with differential credit ratings. Since the risk allocation between swap counterparties varies over business cycles, hence this factor needs to be controlled. We conclude that (1) similar results hold if the business cycle factor is controlled and (2) swap spreads contain procyclical element and are less cyclical than lower credit rating bond spreads.     

Pricing of swaps with default risk

In this paper, I study the valuation of interest rate and currency swaps with default risk under the contingent claim analysis framework. I demonstrate that the traditional approach of pricing swap contracts as exchanges of loans underestimates the value of such contracts to the counterparty with higher credit rating and exaggerates the credit spread required to guard against default risk. Numerical simulations show that the swap rate is not sensitive to counterparty credit rating: for a ten year interest rate swap, a one hundred basis point increase in counterparty bond yield spread results in only about one basis point increase in the swap rate. (JEL G10, G12, G13)This paper is based on Chapter 2 of my Ph.D. dissertation at Yale University. I would like to thank my dissertation committee, Kenneth French, Roger Ibbotson, and Jonathan Ingersoll, Jr. (chairman), for helpful advice and guidance. I would also like to thank Keny Back, Richard Lindsey, N. R. Prabhala, Ming Huang, Marti Subrahmanyam, three anonymous referees and especially Bob Jarrow, the editor, for helpful comments and suggestions. Any errors that remain are solely mine. This paper won the 1996 Trefftzs Award for best student paper from the Western Finance Association.     

European monetary arrangements: Implications for the dollar,exchange rate variability and credibility

This paper uses the recent history of the ERM to gain insights into what might happen to exchange rates on the road to EMU. to do this, the paper examines the variability of exchange rates, the transmission of monetary policy between countries, the role of the dollar in ERM exchange rate crises, and ERM members' credibility as measured by the realignment probabilities prior to the September 1992 crisis. We identify two factors that might have contributed to the September 1992 crisis: high German interest rates and weakness of the US dollar. We find that behaviour of exchange rates has changed over time and differs between ERM and non-ERM currencies. We also demonstrate that changes in German short-term interest rates influence interest rates in other ERM countries and vice versa.     

利率互换交易策略分析

2007年,利率互换交易无论是交易量还是交易结构上都获得了长足的发展,2007年12月基于Shibor的交易量首次超过长期以来一直居于首位的FR007。该文对2007年末到2008年初这段时间内互换曲线的形变、互换利差变化以及互换交易策略等方面进行了较为详尽的分析和总结,对利率互换的研究和交易有一定的借鉴意义。     

On the relationship between exchange rates and equity returns: A new approach

This paper employs a new approach in order to investigate the underlying relationship between stock markets and exchange rates. Current approaches suggest that the relative equity market performance of two countries is linked to their exchange rate. In contrast, this study proposes an alternative approach where one global variable – global equity market returns – is believed to have an effect on exchange rates, with the relative interest rate level of a currency determining the sign of the relationship. Our empirical findings suggest that exchange rates and global stock market returns are strongly linked. The value of currencies with higher interest rates is positively related with global equity returns, whereas the value of currencies with lower interest rates is negatively related with global equity returns.     

The pricing of Bermudan-style options on correlated assets

In this paper, we present a methodology for approximating a correlated multivariate-lognormal process with a recombining or “simple” multivariate-binomial process. The method represents an extension and implementation of previous work by Nelson and Ramaswamy (1990) and Ho, Stapleton and Subrahmanyam (1995) on diffusion approximation. The general method is illustrated by pricing a Bermudan-style put option on the minimum of three asset prices, and by pricing Bermudan-style options on bonds, where the value of the bond at a point in time depends upon the interest rate in two currencies and the foreign exchange rate. This type of structure, known as the “Power Reverse Dual” is a popular product in the case of Japanese Yen-US Dollar currencies. This revised version was published online in June 2006 with corrections to the Cover Date.     

Pricing default swaps: Empirical evidence

In this paper we compare market prices of credit default swaps with model prices. We show that a simple reduced form model outperforms directly comparing bonds' credit spreads to default swap premiums. We find that the model yields unbiased premium estimates for default swaps on investment grade issuers, but only if we use swap or repo rates as proxy for default-free interest rates. This indicates that the government curve is no longer seen as the reference default-free curve. We also show that the model is relatively insensitive to the value of the assumed recovery rate.