The Default Risk of Swaps

We characterize the exchange of financial claims from risky swaps. These transfers are among three groups: shareholders, debtholders, and the swap counterparty. From this analysis we derive equilibrium swap rates and relate them to debt market spreads. We then show that equilibrium swaps in perfect markets transfer wealth from shareholders to debtholders. In a simplified case, we obtain closed-form solutions for the value of the default risk in the swap. For interest-rate swaps, we obtain numerical solutions for the equilibrium swap rate, including default risk. We compare these with equilibrium debt market default risk spreads.     

Risk management of real estate: The case of real estate swaps

Real estate swaps are a recent financial innovation based upon the principle of comparative advantage. A real estate swap is a useful tool for real estate risk management and for participating in real estate investment without the high costs associated with real estate. Potential economic benefits and costs associated with real estate swaps are considered and real estate swaps are compared to alternative tools for real estate risk management. The expected utility and effectiveness of risk management with a swap in a multiperiod framework are analyzed. The analysis finds that the subject property's return and its risk characteristics (as reflected in its correlation with interest rate and property index returns) delimit the risk management potential of a given swap position. Optimal swap positions are shown for various regions and property types based on historical return series, from the period between 1983 and 1992, and the parameters of the dynamic model developed.     

An Economic Analysis of Interest Rate Swaps

Interest rate swaps, a financial innovation in recent years, are based upon the principle of comparative advantage. An interest rate swap is a useful tool for active liability management and for hedging against interest rate risk. The purpose of this paper is to provide a simple economic analysis of interest rate swaps. Alternative uses of and the appropriate valuation procedure for interest rate swaps are described.     

Interest rate swaps

This instructional case is intended to introduce graduate and undergraduate financial accounting and finance students to derivatives using interest rate swaps. The major learning objective is to understand derivative accounting methods, using interest rate swaps, as proposed by the Financial Accounting Standards Board's recent Exposure Draft. A secondary learning objective is to understand key features of a management control system for derivatives' activities. Both matched and unmatched interest rate swap examples are used in this case. The matched swap is based on an actual swap done by a bank for one of its customers. The case is written from the perspective of an audit partner writing a report summarizing interest rate swap accounting and related management controls for a client who wanted to recognize all gains and losses related to its interest rate swaps immediately in current earnings.     

Interest Rate Swaps and Corporate Financing Choices

This paper describes the firm's decision to borrow short-term versus long-term and shows how the introduction of interest rate swaps affects this choice. The model shows that in the absence of a swap market, interest rate uncertainty can lead firms to substitute long-term for short-term financing. However, when swaps exist, there is a tendency for firms that expect their credit quality to improve to borrow short-term and use swaps to hedge interest rate risk. The model suggests that, while the demand for fixed for floating swaps is enhanced, the demand for floating for fixed swaps is reduced by the presence of asymmetric information.     

Determinants of Swap Spreads in a Developing Financial Market: Evidence from Finland

This paper presents empirical evidence on the determinants of swap spreads in Finland using four years of data. Spreads exhibit a significant negative relationship with the amount of fixed rate deposits with banks, which reflects the importance of banks in the Finnish capital markets. Spreads are positively linked to business cycle and market risk factors such as the slope of the yield curve and the volatility of interest rates. The influence of hedging costs has become increasingly important over time, especially in longer dated swaps. A relationship is also observed between swap spreads and the external value of the currency.     

中国利率市场的价格发现——对国债现货、期货以及利率互换市场的研究

本文采用信息份额模型和基于向量自回归(VAR)模型的格兰杰因果检验,研究了国债现货、国债期货和利率互换三个市场之间的价格发现机制。信息份额模型表明,从整体来看利率互换相对于国债期货和国债现货都具有信息优势,而国债期货相对于国债现货具有信息优势。另外,国债期货的价格发现能力相对于另外两个市场都在随时间增强。格兰杰因果检验结果显示,利率互换在价格发现中单向引领国债期货以及国债现货,国债期货单向引领国债现货。所有结果一致表明, 利率互换和国债期货这两种利率衍生产品在引导中国利率市场价格发现中发挥了重要作用。     

Modeling volatility and changes in the swap spread

We investigate the determinants of changes in U.S. interest rate swap spreads using a model that explicitly allows for volatility interactions between swaps of different terms to maturity. Changes in the swap spread are found to be positively related to interest rate volatility, to changes in the default risk premium in the corporate bond market, and to changes in the liquidity premium for government securities. Swap spread changes are negatively related to changes in the level of interest rates and changes in the slope of the term structure. We also find that there is a strong and significant volatility interaction among spreads for swaps of different maturities and that the process for the conditional variance of the spread is highly persistent across all maturities.     

An empirical analysis of bank interest rate swaps

Considering the characteristics of banks that do and do not report interest rate swaps, the long-term interest rate exposure of a bank and the likelihood and extent of swap market participation are found to be positively related. Key to the finding is the inclusion of variables related to the provision of swap market intermediary services, which significantly explain both the likelihood of swap market participation and the notional value of outstanding swaps. The results suggest that the likelihood and extent of swap market participation by low-capitalized banks is less than for other banks.     

Pricing Property Index Linked Swaps with Counterparty Default Risk

This paper extends Bjork and Clapham (Journal of Housing Economics 11:418–432, 2002) model for pricing real estate index total return swaps. Our extension considers counterparty default risk within a first passage contingent claims model. We price total return swaps on property indices with different levels of default risk. We develop this model under same assumptions as Bjork and Clapham (Journal of Housing Economics 11:418–432, 2002) and find that total return swap price is no longer zero. Total return swap payer must charge a spread over the market interest rate that compensates him for the exposure to this additional risk. Based on commercial property indices in the UK, we observe that computed spreads are much lower than a sample of quotes obtained from one of the traders in the market.     

The analytic pricing of asymmetric defaultable swaps

Swaps where both parties are exposed to credit risk still lack convincing pricing mechanisms. This article presents a reduced-form model where the event of default is related to structural characteristics of each party. The cash flows submitted to credit risk are identified before the swap is priced. Analytical pricing formulas for interest rate and currency swaps are computed using a Gaussian model for risky bonds. Currency swaps exhibit additional correlation risk. The benefits from netting depend on the balance between exposures and market conditions in valuation. We show that sources of credit risk asymmetries are also likely to impact on credit spreads.     

Pre‐Issuance Hedging of Fixed‐Rate Debt

This article analyzes several corporate hedging strategies to manage interest rate risk on fixed‐rate debt prior to issuance. The authors start by considering these strategies using a highly stylized model: a binomial forward interest rate tree that, while simple in design, illustrates derivative pricing methodologies that are used in practice. Under a given rate volatility assumption, they demonstrate expected outcomes when entering a forward bond contract, a forward‐starting pay‐fixed interest swap, and a purchased option on that swap, as well as the “default” alternative of doing nothing. In principle, the decision of whether or not to hedge, as well as how to do so, depends on management's view of future interest rate volatility and degree of comfort with possible outcomes. The authors then assess the pros and cons of hedging strategies, with considerable emphasis on practical considerations. For example, while their theoretical model would allow an issuer to “lock” a specific debt issuance, in practice one can hedge only “benchmark” interest rate risk. The authors describe the use of both Treasury locks and forward‐starting swaps to address unexpected benchmark yield changes, and discuss how factors such as the time to issuance affect an issuer's choice of instrument. For instance, Treasury locks are typically used when the time to issuance is relatively short, while interest rate swaps are more common for longer times to issuance. The article also discusses circumstances in which a “do nothing” strategy may be preferable to other alternatives, as well as the disadvantages of issuing in advance. Finally, the authors describe the impact of financial accounting on different hedge strategies.     

How well do classical credit risk pricing models fit swap transaction data?

Currency and interest rate swaps are subject to a complex, two-sided default risk. Several theoretical papers have recently addressed the problem of pricing this swap credit risk. We implement a recent credit risk pricing model in an attempt to evaluate one of the main lines of research in theoretical credit risk analysis. We compare the model's analytical results to actual transaction data thanks to a unique academic database on swap transaction data.     

Pricing factors in multiple-term structures from interbank rates

This article analyzes the reward for the risk embedded in interbank derivatives, seeking to characterize the size and economic sources of the components of this risk premium in interbank spread quotes. The basis swap (BS) spreads – floating-to-floating interest rate swaps – are employed as a vehicle used by investors to express their views concerning the risk of borrowing on the interbank market. Our results show that the size of the risk premium ranges from 20 to 60 basis points, depending on the tenor, during periods of financial distress. Moreover, the evolution of this risk premium increases dramatically after August 2007, primarily due to the evolution of credit variables such as sovereign and financial sector risks. Finally, we also document important sources of commonality between risk premiums at different tenors. An analysis of the determinants of risk premia reveal that investors’ compensation relates to financial sector credit and liquidity uncertainty, and risk aversion.     

Analysis of Credit Risks in Asset-Backed Securitization Transactions in Singapore

Asset-backed securitization (ABS) is a relatively new financial instrument in Singapore's capital market, which has been accepted by developers (originators) as an alternative source of financing. Credit assessment and rating requirements have not been imposed on the ABS bond issues. Default-risk evaluation has also been understated, if not omitted, in the process of structuring ABS deals. This is the first study that applies a theoretical default-risky swaps valuation model to evaluate credit risks in ABS bonds in Singapore. The Monte-Carlo simulation results, based on the Century Square shopping mall ABS case, show significant effects of the changes in rental volatility and default-free interest rate volatility on the default-risk premium of swap. More specifically, an increase in the rental volatility reduces the default-risky swap values significantly. However, an increase in the instantaneous default-free interest rate volatility increases the default-risk premium of swaps, and this effect is only observed in the high default-free interest rate volatility regime (above 20 percent). The results suggest that the rental dynamics of the securitized real estate are critical in determining the default risks of ABS deals. The fixed-rate (coupon yield) and floating-rate (rental cash flows) should therefore be adequately determined to reflect the default risks, which may be caused by the rental dynamics of the securitized real estate.     

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。     

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.     

Swap Rates and Credit Quality

This article presents a model for valuing claims subject to default by both contracting parties, such as swaps and forwards. With counterparties of different default risk, the promised cash flows of a swap are discounted by a switching discount rate that, at any given state and time, is equal to the discount rate of the counterparty for whom the swap is currently out of the money (that is, a liability). The impact of credit-risk asymmetry and of netting is presented through both theory and numerical examples, which include interest rate and currency swaps.     

Swaps: Plain and Fanciful

The outstanding face amount of plain vanilla interest rate swaps exceeds two trillion dollars. While pricing and hedging of such swaps appear to be quite simple, many existing theories are based on the incorrect characterization of a swap as a simple exchange of a fixed for a floating rate note. This characterization is not consistent with standarized swap contracts and the treatment of swaps in bankruptcy. This paper provides an alternative perspective on swaps.     

Credit Derivatives and the Default Risk of Large Complex Financial Institutions

This paper proposes and implements a multivariate model of the coevolution of the first and second moments of two broad credit default swap indices and the equity prices of sixteen large complex financial institutions. We use this empirical model to build a bank default risk model, in the vein of the classic Merton-type, which utilises a multi-equation framework to model forward-looking measures of market and credit risk using the credit default swap (CDS) index market as a measure of the conditions of the global credit environment. In the first step, we estimate the dynamic correlations and volatilities describing the evolution of the CDS indices and the banks’ equity prices and then impute the implied assets and their volatilities conditional on the evolution and volatility of equity. In the second step, we show that there is a substantial ‘asset shortfall’ and that substantial capital injections and/or asset insurance are required to restore the stability of our sample institutions to an acceptable level following large shocks to the aggregate level of credit risk in financial markets.