Olkhov, Victor (2022): The Market-Based Asset Price Probability.
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Abstract
This paper introduces the market-based asset price probability during time averaging interval Δ. We substitute the present problem of guessing the “correct” form of the asset price probability by description of the price probability as function of the market trade value and volume statistical moments during Δ. We define n-th price statistical moments as ratio of n-th statistical moments of the trade value to n-th statistical moments of the trade volume. That definition states no correlations between time-series of n-th power of the trade volume and price during Δ, but doesn’t result statistical independence between the trade volume and price. The set of price n-th statistical moments defines Taylor series of the price characteristic function. Approximations of the price characteristic function that reproduce only first m price statistical moments, generate approximations of the market-based price probability. That approach unifies probability description of market-based asset price, price indices, returns, inflation and their volatilities. Market-based price probability approach impacts the asset pricing models and uncovers hidden troubles and usage bounds of the widespread risk hedging tool – Value-at-Risk, lets you determine the price autocorrelations and revises the classical option pricing from one to two dimensional problem. Market-based approach doesn’t simplify the price probability puzzle but establishes direct economic ties between asset pricing, market randomness and economic theory. Description of the market-based price and returns volatility, Skewness and Kurtosis requires development of economic theories those model relations between second, third and forth order macroeconomic variables. Development of these theories will take a lot of efforts and years.
Item Type: | MPRA Paper |
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Original Title: | The Market-Based Asset Price Probability |
English Title: | The Market-Based Asset Price Probability |
Language: | English |
Keywords: | asset price; price probability; returns; inflation; market trades |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C01 - Econometrics C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C58 - Financial Econometrics E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level ; Inflation ; Deflation E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E37 - Forecasting and Simulation: Models and Applications G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates G - Financial Economics > G1 - General Financial Markets > G17 - Financial Forecasting and Simulation |
Item ID: | 113096 |
Depositing User: | Victor Olkhov |
Date Deposited: | 20 May 2022 13:25 |
Last Modified: | 20 May 2022 13:25 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/113096 |
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