### Risk Finance and Asset Pricing: Value, Measurements, and Markets

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On other word, the relationship between excess return and the market portfolio becomes, in general, stronger at the higher scales of two variables Table 5. Similar conclusions are drawn by Viviana for a sample of 24 stocks traded on the Santiago Stock Exchange. Figure 2 plots excess returns on stocks vertical axis against corresponding excess returns on market D 1 at different scales in French stock.

The scales are such that 1 is associated with days dynamics, scale 2 is associated with days dynamics and so on. This Fig. These findings enforce the fact that the relationship between each recomposed crystal of the excess return on the stock and the corresponding recomposed crystal of the market portfolio is more relevant at the mediums scales than others scales during the sample period.

Figure 2 shows that linearity between these two variables is not clear with scales more larges scale 1: , scale 2: and so on. So we can not conclude about the linearity between the stock return and its beta. Theses results let us to think about other methods to estimate the capital asset pricing model. The empirical results show that the relationship between the return of a stock and its beta becomes stronger at the medium scales, but the test of the linearity between the tow variables show that there is an important ambiguity.

Therefore, the predictions of the CAPM are more relevant at a medium-term horizon in a multi scale framework as compared to short time horizons.

We notice also that the proposed method in this paper has shown some lack in concluding about the linearity between the return and its beta systematic risk. This leads us to think about some more adoptable and relevant methods to enlighten the ambiguity. An extension of present study using wavelet theory has been started and it seems to give good results. Wavelets are suitable adopted mathematical tools that have been world-wise developed until the 80's.

They have been shown successful applications in physics, mathematics, finance, statistics, etc. We intend in the near future to obtain good results using these mathematical tools.

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Search in Google Scholar. DOI: The CAPM established that the expected return on any risky satisfy the equation:. The price of asset I at day t. The market return R mt is taken as the log difference of the CAC 40 index:. Excess return on the market horizontal axis against excess return on the stock vertical axis at different scales.

Scale 1: days, scale 2: days and so on. Black, F. Jensen and M. Scholes, In: Studies in the Theory of Capital Markets. Praeger Publishers Inc. Campbell, J. Asset pricing at the millennium. Finance, Cochrane, J. Asset pricing.

## Entropy-Based Financial Asset Pricing

The Rev. Financial Stud. Cohen, K. Hawawin, S.

Mayer, R. Schwartz and D.

Witcomb, The Microstructure of Securities Markets. Prentice Hall, Sydney. Idiosyncratic risk refers to the risk of an individual asset. Time value of money refers to the difference between the present value of money and the future value of money.

### Account Options

Also, use the model to measure the required rate of return for capital budgeting projects. The risk-free rate refers to the return on an investment without risk, such as a US Treasury Bond, and represents the time value of money. The risk premium represents the incremental return for investing in a risky asset.

In the CAPM , it is defined as the market premium , or the overall stock market return less the risk-free rate, multiplied by the beta of the asset. According to the CAPM , riskier assets should yield higher returns.

## capital asset pricing model

First, the model assumes that a riskier asset will yield a higher return. Financial engineering expert Charles S. Tapiero has his finger on the pulse of shifts coming to financial engineering and its applications. With an eye toward the future, he has crafted a comprehensive and accessible book for practitioners and students of Financial Engineering that emphasizes an intuitive approach to financial and quantitative foundations in financial and risk engineering. The book covers the theory from a practitioner perspective and applies it to a variety of real-world problems.

If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account. If the address matches an existing account you will receive an email with instructions to retrieve your username. Skip to Main Content. First published: 6 December