Derivatives Markets

Author(s):  
Halil Kiymaz ◽  
Koray D. Simsek

Interest rate derivatives markets have enjoyed substantial growth since the late 1990s. This chapter discusses the development of these markets since 2000 and introduces the most popular interest rate derivative instruments. Although forward rate agreements and interest rate swaps are important examples of over-the-counter (OTC) products, futures on interest rates and bonds are innovations of organized exchanges. Both OTC interest rate options and exchange-traded options on interest rate futures are discussed to illustrate an overlapping area of both types of derivatives markets. Participants in debt markets are also exposed to both interest rate and credit risk. To mitigate the latter risk, the OTC fixed income derivatives markets provide credit default swaps (CDSs). As credit derivatives are also a subset of fixed income derivatives, CDSs are discussed further.

Author(s):  
Koray D. Simsek ◽  
Halil Kiymaz

Derivatives valuation is based on the key principle of no-arbitrage pricing. This chapter presents valuation models for various types of fixed income derivatives, including forward rate agreements (FRAs), interest rate swaps, Eurodollar and Treasury bond futures, bond options, caps and floors, swaptions, and options on interest rate futures. Following the financial crisis that began in the summer of 2007, major changes occurred in the practice of fixed income derivatives valuation, particularly regarding the adoption of overnight indexed swaps (OIS) as a source of the risk-free rate. This chapter shows how OIS discounting is implemented in FRA pricing and swap valuation. Traditional approaches such as cost of carry valuation in futures pricing are illustrated. With respect to option valuation, this chapter explains the risk-neutral pricing approach as well as closed-form solutions such as the Black model. The chapter also provides numeric examples to illustrate the practical use of the presented models and formulas.


2019 ◽  
pp. 75-95
Author(s):  
Hyun Song Shin

Life insurers and pension funds have obligations to policy holders and beneficiaries and hold fixed income assets to meet those obligations. Asset-liability management matches the duration of assets to duration of liabilities to minimise risks from interest rate changes. However, this rule can lead to upward sloping demand curves for fixed income assets and can lead to overshooting of long-term interest rates.


2004 ◽  
Vol 12 (2) ◽  
pp. 157-179
Author(s):  
Joon Hee Rhee

This paper examines the pricing of interest rates derivatives such as caps and swaptions in the pricing kernel framework. The underlying state variable is extended to the general infinitely divisible Levy process. For computational purposes, a simple pricing kernel as in Flesaker and Hughston (1996) and Jin and Glasserman (2001) is used. The main contribution or purpose of this paper is to find several proper positive martingales, which is key role of practical applications of the pricing kernel approach with interest rates guarantee to be positive. Particularly, this paper first finds and applies a quite general type of a positive martingale process to pricing interest rate derivatives such as swaptions and range notes in the incomplete market setting. Such interest rate derivatives are hard to find analytic solutions. Consequently, this paper shows that such a choice of the positive martingale in the kernel framework is a promising approach to price interest rate derivatives


2010 ◽  
pp. 173-212
Author(s):  
Jürgen Franke ◽  
Wolfgang Karl Härdle ◽  
Christian Matthias Hafner

2017 ◽  
Vol 8 (4) ◽  
pp. 23 ◽  
Author(s):  
Fang Zhao ◽  
James Moser

Using data that cover a full business cycle, this paper documents a direct relationship between interest-rate derivative usage by U.S. banks and growth in their commercial and industrial (C&I) loan portfolios. This positive association holds for interest-rate options contracts, forward contracts, and futures contracts. This result is consistent with the implication of Diamond’s model (1984) that predicts that a bank’s use of derivatives permits better management of systematic risk exposure, thereby lowering the cost of delegated monitoring, and generates net benefits of intermediation services. The paper’s sample consists of all FDIC-insured commercial banks between 1996 and 2004 having total assets greater than $300 million and having a portfolio of C&I loans. The main results remain after a robustness check.


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