A Libor market model including credit risk under the real-world measure

2020 ◽  
Author(s):  
Sara Dutra Lopes ◽  
Carlos V´azquez
Keyword(s):  
Credit Risk ◽  
Real World ◽  
Market Model ◽  
The Real ◽  
Libor Market Model

LIBOR MARKET MODEL UNDER THE REAL-WORLD MEASURE

2013 ◽  
Vol 16 (04) ◽  
pp. 1350024 ◽  
Author(s):  
TAKASHI YASUOKA
Keyword(s):  
Real World ◽  
Market Price ◽  
Market Model ◽  
Market Price Of Risk ◽  
The Real ◽  
Libor Market Model ◽  
State Price ◽  
Number Of Factors ◽  
Price Of Risk ◽  
State Price Deflator

This paper consists of two parts. The first part aims to construct a LIBOR market model under the real-world measure (LMRW) according to the Jamshidian framework. Then, LIBOR rates, bond prices and a state price deflator are explicitly described under the LMRW. The second part aims to estimate the market price of risk, as well as to investigate the fundamental properties of real-world simulations. Then, the following subjects are theoretically investigated: (1) a method for determining the number of factors for real-world simulations, (2) the properties of real-world simulations, and (3) the value of the market price of risk in connection with sample data. Numerical examples demonstrate our results.

A colonial take on island life

2012 ◽  
Vol 2 (2) ◽  
pp. 150-157 ◽  
Author(s):  
Phil McDermott
Keyword(s):  
Economic Geography ◽  
Real World ◽  
Academic Resilience ◽  
Market Model ◽  
New Economic Geography ◽  
The Real

Peck’s (2012) reaction to the colonizing impulse of economics is a call to consolidation of economic geography, better connecting diverse sites of inquiry. This appears to be a reaction to the current incursion of orthodoxy in the form of the New Economic Geography into the domain of the old economic geography. This incursion carries with it the ideological eminence of the market which oversimplifies the nature of exchange and consequently obscures the processes which shape places. I question Peck’s proposition. From an applied perspective our understanding of the real world benefits from the heterogeneity of economic geography. Academic resilience comes from diversity. As a result, economic geography already provides a strong and grounded basis for resisting the monotheism of orthodox economics. (I also question the use of the island life analogy as a didactic device in a critique of a similar device, the neoclassical market model.)

scholarly journals ANALYTIC PRICING OF CONTINGENT CLAIMS UNDER THE REAL-WORLD MEASURE

2008 ◽  
Vol 11 (08) ◽  
pp. 841-867 ◽  
Author(s):  
SHANE M. MILLER ◽  
ECKHARD PLATEN
Keyword(s):  
Real World ◽  
Degrees Of Freedom ◽  
Contingent Claims ◽  
Market Model ◽  
Chi Square ◽  
Growth Optimal Portfolio ◽  
The Real ◽  
Efficient Calculation ◽  
Squared Bessel Process ◽  
Equity Index

This article derives a series of analytic formulae for various contingent claims under the real-world probability measure using the stylised minimal market model (SMMM). This model provides realistic dynamics for the growth optimal portfolio (GOP) as a well-diversified equity index. It captures both leptokurtic returns with correct tail properties and the leverage effect. Under the SMMM, the discounted GOP takes the form of a time-transformed squared Bessel process of dimension four. From this property, one finds that the SMMM possesses a special and interesting relationship to non-central chi-square random variables with zero degrees of freedom. The analytic formulae derived under the SMMM include options on the GOP, options on exchange prices and options on zero-coupon bonds. For options on zero-coupon bonds, analytic prices facilitate efficient calculation of interest rate caps and floors.

A TWO-REGIME, STOCHASTIC-VOLATILITY EXTENSION OF THE LIBOR MARKET MODEL

2004 ◽  
Vol 07 (05) ◽  
pp. 555-575 ◽  
Author(s):  
RICCARDO REBONATO ◽  
DHERMINDER KAINTH
Keyword(s):  
Stochastic Volatility ◽  
Implied Volatility ◽  
Market Model ◽  
The Real ◽  
Libor Market Model

We propose a two-regime stochastic volatility extension of the LIBOR market model that preserves the positive features of the recently introduced (Joshi and Rebonato 2001) stochastic-volatility LIBOR market model (ease of calibration to caplets and swaptions, efficient pricing of complex derivatives, etc.) and overcomes most of its shortcomings. We show the improvements by analyzing empirically and theoretically the real and the model-produced change sin swaption implied volatility.

Current Issues: Evidence-Based Practice for the Real World: Thoughts on Clinical Education in Communication Disorders

2010 ◽  
Vol 20 (3) ◽  
pp. 100-105 ◽  
Author(s):  
Anne K. Bothe
Keyword(s):  
Clinical Education ◽  
Real World ◽  
Evidence Based Practice ◽  
Communication Disorders ◽  
University Faculty ◽  
Evidence Based ◽  
Speech Language Pathology ◽  
Basic Principles ◽  
The Real ◽  
Language Pathology

This article presents some streamlined and intentionally oversimplified ideas about educating future communication disorders professionals to use some of the most basic principles of evidence-based practice. Working from a popular five-step approach, modifications are suggested that may make the ideas more accessible, and therefore more useful, for university faculty, other supervisors, and future professionals in speech-language pathology, audiology, and related fields.

The Real-World Fellowship

2006 ◽  
Vol 40 (7) ◽  
pp. 47
Author(s):  
LEE SAVIO BEERS
Keyword(s):  
Real World ◽  
The Real
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