Principles for modelling financial markets

1996 ◽  
Vol 33 (3) ◽  
pp. 601-613 ◽  
Author(s):  
Eckhard Platen ◽  
Rolando Rebolledo

The paper introduces an approach focused towards the modelling of dynamics of financial markets. It is based on the three principles of market clearing, exclusion of instantaneous arbitrage and minimization of increase of arbitrage information. The last principle is equivalent to the minimization of the difference between the risk neutral and the real world probability measures. The application of these principles allows us to identify various market parameters, e.g. the risk-free rate of return. The approach is demonstrated on a simple financial market model, for which the dynamics of a virtual risk-free rate of return can be explicitly computed.

1996 ◽  
Vol 33 (03) ◽  
pp. 601-613 ◽  
Author(s):  
Eckhard Platen ◽  
Rolando Rebolledo

The paper introduces an approach focused towards the modelling of dynamics of financial markets. It is based on the three principles of market clearing, exclusion of instantaneous arbitrage and minimization of increase of arbitrage information. The last principle is equivalent to the minimization of the difference between the risk neutral and the real world probability measures. The application of these principles allows us to identify various market parameters, e.g. the risk-free rate of return. The approach is demonstrated on a simple financial market model, for which the dynamics of a virtual risk-free rate of return can be explicitly computed.


e-Finanse ◽  
2016 ◽  
Vol 12 (1) ◽  
pp. 1-11
Author(s):  
Paweł Kliber

AbstractThe article presents a historical review of the literature related to the empirical problem of excessive risk premium. The risk premium (the difference between the return on equities and risk-free rate) observed in financial markets cannot be reconciled with theoretical models of financial markets - it is too high (“excessive”). We present the original model from the seminal work of Mehra and Prescott (1985), where this problem has been signaled. The article gives an overview of the main trends in the literature concerning this problem, of the proposed solutions and of the extension to the model. Finally, we consider the problem in the Polish context, estimating the original Mehra-Prescott model using data from the Polish financial market.


2021 ◽  
Vol 54 (3) ◽  
pp. 447-467
Author(s):  
Thorsten Polleit

The modern financial market theory (MFMT) – based on the efficient market hypothesis, rational expectation theory, and modern portfolio theory – has become the standard approach in financial market economics. In this article, the MFMT will be critically ­reviewed using the logic of human action (or: praxeology) as an epistemological meta­theory. It will be shown that the MFMT exhibits (praxeo-)logical deficiencies so that it cannot provide investors with well-founded decision-making support in real-world financial markets.


2017 ◽  
Vol 12 (01) ◽  
pp. 1750002 ◽  
Author(s):  
JUKKA ILOMÄKI

I clarify and combine the results of Ilomäki (2016a) and Ilomäki (2016b) and find several interesting conclusions. First, the effect of the animal spirits component to the expected returns of investors depends on the risk-free rate. Second, there must be an upper limit for the risk-free rate, where the component that reduces the expected returns of informed investors in Ilomäki (2016a) disappears. Third, the empirical results of Ilomäki (2016b) indicates that the break-even level is as low as 3%.


2010 ◽  
Vol 13 (01) ◽  
pp. 93-112 ◽  
Author(s):  
YINGDONG LV ◽  
BERNHARD K. MEISTER

In this paper, we study the Kelly criterion in the continuous time framework building on the work of E.O. Thorp and others. The existence of an optimal strategy is proven in a general setting and the corresponding optimal wealth process is found. A simple formula is provided for calculating the optimal portfolio in terms of drift, short term risk-free rate and correlations for a set of generic multi-dimensional diffusion processes satisfying some simple conditions. Properties of the optimal investment strategy are studied. The paper ends with a short discussion of the implications of these ideas for financial markets.


Author(s):  
N. S. Gonchar

In the first part of the paper, we construct the models of the complete non-arbitrage financial markets for a wide class of evolutions of risky assets.This construction is based on the observation that for a certain class of risky as set evolutions the martingale measure is invariant with respect to these evolutions. For such a financial market model the only martingale measure being equivalent to an initial measure is built. On such a financial market,formulas for the fair price of contingent liabilities are presented. A multi-parameter model of the financial market is proposed, the martingale measure of which does not depend on the parameters of the model of the evolution of risky assets and is the only one.


2019 ◽  
Vol 09 (02) ◽  
pp. 1950003 ◽  
Author(s):  
Jianjun Miao ◽  
Bin Wei ◽  
Hao Zhou

This paper offers an ambiguity-based interpretation of the variance premium — the difference between risk-neutral and objective expectations of market return variance — as a compounding effect of both belief distortion and variance differential regarding the uncertain economic regimes. Our calibrated model can match the variance premium, the equity premium, and the risk-free rate in the data. We find that about 97% of the mean–variance premium can be attributed to ambiguity aversion. A three-way separation among ambiguity aversion, risk aversion, and intertemporal substitution, permitted by the smooth ambiguity preferences, plays a key role in our model’s quantitative performance.


2016 ◽  
Vol 11 (03) ◽  
pp. 1650011 ◽  
Author(s):  
JUKKA ILOMÄKI

We show analytically that animal spirit excess profits for uninformed investors fall (increase) when the risk-free rate rises (falls). In the theoretical analysis, we examine the expected returns of risk-averse, short-lived investors. In addition, we find empirically that the local risk-free rates explain 14% of the changes in the animal spirit excess profits in the global stock markets for the last 29 years when the animal spirits is characterized as a product of the trend-chasing rule.


2011 ◽  
Vol 4 (3) ◽  
pp. 165-184 ◽  
Author(s):  
Norman Hutchison ◽  
Patricia Fraser ◽  
Alastair Adair ◽  
Rahul Srivatsa

2015 ◽  
Vol 7 (2) ◽  
pp. 107 ◽  
Author(s):  
Iqbal Thonse Hawaldar

<p>The study is undertaken to find out the relationship between portfolio returns and market returns and test the empirical validity of the standard CAPM model on Bahrain Bourse. The study is based on 39 companies listed in the Bahrain Bourse, Bahrain All Share Index as market proxy and yield of Government of Bahrain securities as risk free rate of return. The study covers period from January 1, 2011 to December 31, 2014.  The analysis of the results of the study revealed that many of the independent variables together with beta can explain the portfolio returns.  However, the intercept test reveals that the portfolio returns are equal to the risk-free rate of return. Therefore, we can conclude that the results of intercept test of standard CAPM proves the theory and the beta test results goes against the standard theory.  </p>


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