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Related papers: Model Risk in Real Option Valuation

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We model investor heterogeneity using different required returns on an investment and evaluate the impact on the valuation of an investment. By assuming no disagreement on the cash flows, we emphasize how risk preferences in particular, but…

General Finance · Quantitative Finance 2021-09-13 Carol Alexander , Xi Chen , Charles Ward

The real options approach is now considered an effective alternative to the corporate DCF model for a feasibility study. The current paper offers a practical methodology employing binomial trees and real options techniques for evaluating…

Risk Management · Quantitative Finance 2023-03-17 Volodymyr Savchuk

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

Mathematical Finance · Quantitative Finance 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

This paper presents a method for incorporating risk aversion into existing decision tree models used in economic evaluations. The method involves applying a probability weighting function based on rank dependent utility theory to reduced…

Theoretical Economics · Economics 2024-01-24 Jacob Smith

We explain the main concepts of Prospect Theory and Cumulative Prospect Theory within the framework of rational dynamic asset pricing theory. We derive option pricing formulas when asset returns are altered with a generalized Prospect…

General Finance · Quantitative Finance 2020-03-10 Svetlozar Rachev , Frank J. Fabozzi , Boryana Racheva-Iotova , Abootaleb Shirvani

All people have to make risky decisions in everyday life. And we do not know how true they are. But is it possible to mathematically assess the correctness of our choice? This article discusses the model of decision making under risk on the…

Risk Management · Quantitative Finance 2020-01-08 O. A. Malafeyev , A. N. Malova , A. E. Tsybaeva

We price European options in a class of models in which the volatility of the underlying risky asset depends on the short rate of interest. Our study results in an explicit pricing formula that depends on knowledge of a characteristic…

Mathematical Finance · Quantitative Finance 2026-02-03 Tim Leung , Matthew Lorig

The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with…

Pricing of Securities · Quantitative Finance 2009-04-09 Sovan Mitra

It's regarded as an axiom that a good model is one that compromises between bias and variance. The bias is measured in training cost, while the variance of a (say, regression) model is measure by the cost associated with a validation set.…

Machine Learning · Computer Science 2021-10-07 Joseph R. Barr , Peter Shaw , Marcus Sobel

Model risk measures consequences of choosing a model in a class of possible alternatives. We find analytical and simulated bounds for payoff functions on classes of plausible alternatives of a given discrete model. We measure the impact of…

Mathematical Finance · Quantitative Finance 2023-02-20 Roberto Fontana , Patrizia Semeraro

We introduce a new approach to incorporate uncertainty into the decision to invest in a commodity reserve. The investment is an irreversible one-off capital expenditure, after which the investor receives a stream of cashflow from extracting…

Mathematical Finance · Quantitative Finance 2018-07-31 Ali Al-Aradi , Alvaro Cartea , Sebastian Jaimungal

Managing a portfolio to a risk model can tilt the portfolio toward weaknesses of the model. As a result, the optimized portfolio acquires downside exposure to uncertainty in the model itself, what we call "second order risk." We propose a…

Portfolio Management · Quantitative Finance 2009-08-19 Peter G. Shepard

In this note, we develop stock option price approximations for a model which takes both the risk o default and the stochastic volatility into account. We also let the intensity of defaults be influenced by the volatility. We show that it…

Computational Engineering, Finance, and Science · Computer Science 2007-12-21 Erhan Bayraktar

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

General Economics · Economics 2024-04-30 Victor Olkhov

This paper aims to provide a practical example on the assessment and propagation of input uncertainty for option pricing when using tree-based methods. Input uncertainty is propagated into output uncertainty, reflecting that option prices…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Henryk Gzyl , German Molina , Enrique ter Horst

We explore credit risk pricing by modeling equity as a call option and debt as the difference between the firm's asset value and a put option, following the structural framework of the Merton model. Our approach proceeds in two stages:…

Risk Management · Quantitative Finance 2025-06-17 Jagdish Gnawali , Abootaleb Shirvani , Svetlozar T. Rachev

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

Statistical Mechanics · Physics 2008-12-02 Miquel Montero

[Spreadsheet] Models are invaluable tools for strategic planning. Models help key decision makers develop a shared conceptual understanding of complex decisions, identify sensitivity factors and test management scenarios. Different…

Human-Computer Interaction · Computer Science 2024-12-31 Paula Jennings

The vast majority of works on option pricing operate on the assumption of risk neutral valuation, and consequently focus on the expected value of option returns, and do not consider risk parameters, such as variance. We show that it is…

Pricing of Securities · Quantitative Finance 2012-04-17 Adi Ben-Meir , Jeremy Schiff

The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the…

Mathematical Finance · Quantitative Finance 2023-12-15 Alexander M. G. Cox , Annemarie M. Grass
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