Credit risk of interest rate swaps : a comparative study of CIR and Monte Carlo simulation approach

This paper compares the credit risk profile for two types of model, the Monte Carlo model used in the existing literature, and the Cox, Ingersoll and Ross (CIR) model. Each of the profiles has a concave or hump-backed shape, reflecting the amortisation and diffusion effects. However, the CIR model generates significantly different results. In addition, we consider the sensitivity of these models of credit risk to initial interest rates, volatility, maturity, kappa and delta. The results show that the sensitivities vary across the models, and we explore the meaning of that variation.

A perspective on credit derivatives

This contribution offers an explanation of credit derivatives as a group of financial instruments having a common purpose being the managing of credit exposures, and thus credit or default risk. This paper explores the links between their economic and financial manifestations and the legal bases for their widespread application. To ensure an understanding of the purposes served by each of the main types of credit derivatives, a detailed scrutiny of individual instruments is undertaken. Issues relating law and economics to trading in this type of derivative are investigated, then pricing issues and empirical evidence are considered. A summary brings together the range of features bearing upon the effective development of a market in these financial instruments.

Does the type of derivative instrument used by companies impact firm value?

We explore the relationship between the type of derivative instrument used and firm value, in a sample of Australian firms. Specifically, we examine the impact of the corporate use of swaps, futures, forwards and options, and the extent of such usage, on firm value. Our findings suggest that a 'discount' is most severely imposed on users of swaps.

How the financial crisis sundered the dream of the autonomous subject

The article discusses the effect of the 2008 economic meltdown on self-reliance. Banks are noted to have honored credit default swaps and purchase mortgages as collateralized debt obligations (CDO) with the option of buy back at face value. Also discussed are the Wall Street Bailout, the Australian banking system and the overseas debt of Australia.

Can the choice of interpolation method explain the difference between swap prices and futures prices?

The standard model linking the swap rate to the rates in a contemporaneous strip of futures interest rate contracts typically produces biased estimates of the swap rate. Institutional differences usually require some form of interpolation to be employed and may in principle explain this empirical result. Using Australian data, we find evidence consistent with this explanation and show that model performance is greatly improved if an alternative interpolation method is used. In doing so, we also provide the first published Australian evidence on the accuracy of the futures-based approach to pricing interest rate swaps.

An empirical analysis of the Australian dollar swap spreads

This paper examines the relationship between the Australian dollar interest rate swap spread and the term structure of the interest rates, and also the determinants of interest rate swap spreads. For this purpose, we estimate the term structure of interest rates using the parsimonious fitting function of Nelson and Siegel [Journal of Business 60 (1987) 476] for the Australian government bonds and Australian interest rate swaps for certain maturities that are not available. We analyse the swap spread over the term structure of the government bonds and how changes in swap determinants affect the changes in swap spreads. The sample period covers the daily interval from 6 December 1996 to 31 December 1999.

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.

Regime dependent causality : equity and credit markets

We apply a Markov switching model to investigate the possibility of an asymmetric causal relationship between the volatility process inferred from the iTraxx CDS options market and the implied volatility from the stock index options market. We find strong evidence that the stock market leads the CDS market and the effect of the implied stock market volatility is more significant during the volatile regime. We also find that a large jump in the stock return, up or down, may indeed be followed by a regime shift.

What determines the yen swap spread?

We investigate if Japanese yen denominated interest rate swap spreads price risks in addition to liquidity and default risk. These additional risks include: the time-varying correlation between interest rates of different types and maturities; business cycle risk; and market skewness risk. Our analysis, over a number of different maturities and sample periods, supports the existence of an additional risk premium. We also show that the time-varying correlation between short term market interest rates (e.g., TIBOR) and the longer term Government bond yield (e.g., Gensaki) is of particular importance. Japanese yen swap spreads are shown to contain both pro-cyclical and counter-cyclical elements of business cycle risk, positive risk premia for skewness risk and variable risk premia for correlation risk (between fixed and floating interest rates).

Heuristic approaches for multi-criteria optimisation in kidney exchange programs

The Kidney Exchange Problem (KEP) is an optimisation problem that was first discussed in Rapaport (1986) but has only more recently been the subject of much work by combinatorial optimisation re-searchers. This has been in parallel with its increased prevalence in the medical community. In the basic formulation of a KEP, each instance of the problem features a directed graph D = (V,A) . Each node i ∈ V represents an incompatible pair wherein the patient needs to trade kidneys with the patient of another incompatible pair. The goal is to find an optimal set of cycles such that as many patients as possible receive a transplant. The problem is further complicated by the imposition of a cycle-size constraint, usually considered to be 3 or 4. Kidney exchange programs around the world implement different algorithms to solve the allocation problem by matching up kidneys from potential donors to patients. In some systems all transplants are considered equally desirable, whereas in others, ranking criteria such as the age of the patient or distance they will need to travel are applied, hence the multi-criteria nature of the KEP. To address the multi-criteria aspect of the KEP, in this paper we propose a two-stage approach for the kidney exchange optimisation problem. In the first stage the goal is to find the optimal number of exchanges, and in the second stage the goal is to maximise the weighted sum of the kidney matches, subject to the added constraint that the number of exchanges must remain optimal. The idea can potentially be extended to multiple-objectives, by repeating the process in multiple runs. In our preliminary numerical experiments, we first find the maximum number of kidney matches by using an existing open source exact algorithm of Anderson et al. (2015). The solution will then be used as an initial solution for the stage two optimisation problem, wherein two heuristic methods, steepest ascent and random ascent, are implemented in obtaining good quality solutions to the objective of maximizing total weight of exchanges. The neighbourhood is obtained by two-swaps. It is our intention in the future to implement a varying neighbourhood scheme within the same two heuristic framework, or within other meta-heuristic framework.

Should credit default swap issuers be subject to prudential regulation?

Credit default swaps (CDSs) contributed significantly to and exacerbated the recent global financial crisis. As a result of the major role that CDSs played, this paper argues that CDS issuers should be subject to prudential regulation, in order to improve systemic stability in the financial system. Three reasons are put forward for this proposition. First, CDSs are functionally equivalent to insurance and so should be regulated in a consistent manner. Secondly, CDSs perform the economic function of assuming credit risk, and so should be prudentially regulated in the same way as other financial institutions which assume credit risk. Finally, CDSs have the potential to contribute to systemic instability in the financial system, and prudential regulation would reduce this risk.