Pricing Fixed-Income Derivatives Under Increasing and Decreasing Interest Rate Cases Using a Skewness-Adjusted Binomial Interest Rate Tree

2012 ◽  
Author(s):  
R. Stafford Johnson ◽  
Amit Sen
Keyword(s):  
Interest Rate ◽  
Fixed Income ◽  
Fixed Income Derivatives

Derivatives Markets

2019 ◽  
pp. 151-166
Author(s):  
Halil Kiymaz ◽  
Koray D. Simsek
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Credit Derivatives ◽  
Forward Rate ◽  
Fixed Income ◽  
Over The Counter ◽  
Interest Rate Options ◽  
Interest Rate Derivatives ◽  
Fixed Income Derivatives ◽  
Derivatives Markets

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.

Valuing and Analyzing Fixed Income Derivatives

2019 ◽  
pp. 501-520
Author(s):  
Koray D. Simsek ◽  
Halil Kiymaz
Keyword(s):  
Interest Rate ◽  
Forward Rate ◽  
Fixed Income ◽  
Closed Form Solutions ◽  
Fixed Income Derivatives ◽  
Treasury Bond ◽  
Bond Options ◽  
Cost Of Carry ◽  
Risk Free Rate ◽  
Traditional Approaches

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.

Asset-Liability Management

2019 ◽  
pp. 75-95
Author(s):  
Hyun Song Shin
Keyword(s):  
Interest Rate ◽  
Interest Rates ◽  
Pension Funds ◽  
Fixed Income ◽  
Asset Liability Management ◽  
Life Insurers ◽  
Liability Management ◽  
Demand Curves

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.

A theoretical model of jump diffusion-mean reversion

2017 ◽  
Vol 23 (3) ◽  
pp. 537-554
Author(s):  
Anindya Chakrabarty ◽  
Zongwei Luo ◽  
Rameshwar Dubey ◽  
Shan Jiang
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Theoretical Model ◽  
Interest Rate ◽  
Mean Reversion ◽  
Jump Diffusion ◽  
Fixed Income ◽  
Short Term ◽  
Content Type ◽  
Better Than

Purpose The purpose of this paper is to develop a theoretical model of a jump diffusion-mean reversion constant proportion portfolio insurance strategy under the presence of transaction cost and stochastic floor as opposed to the deterministic floor used in the previous literatures. Design/methodology/approach The paper adopts Merton’s jump diffusion (JD) model to simulate the price path followed by risky assets and the CIR mean reversion model to simulate the path followed by the short-term interest rate. The floor of the CPPI strategy is linked to the stochastic process driving the value of a fixed income instrument whose yield follows the CIR mean reversion model. The developed model is benchmarked against CNX-NIFTY 50 and is back tested during the extreme regimes in the Indian market using the scenario-based Monte Carlo simulation technique. Findings Back testing the algorithm using Monte Carlo simulation across the crisis and recovery phases of the 2008 recession regime revealed that the portfolio performs better than the risky markets during the crisis by hedging the downside risk effectively and performs better than the fixed income instruments during the growth phase by leveraging on the upside potential. This makes it a value-enhancing proposition for the risk-averse investors. Originality/value The study modifies the CPPI algorithm by re-defining the floor of the algorithm to be a stochastic mean reverting process which is guided by the movement of the short-term interest rate in the economy. This development is more relevant for two reasons: first, the short-term interest rate changes with time, and hence the constant yield during each rebalancing steps is not practically feasible; second, the historical literatures have revealed that the short-term interest rate tends to move opposite to that of the equity market. Thereby, during the bear run the floor will increase at a higher rate, whereas the growth of the floor will stagnate during the bull phase which aids the model to capitalize on the upward potential during the growth phase and to cut down on the exposure during the crisis phase.

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