This paper highlights the hidden dependence of the basic pricing equation of a multi-period consumption-based asset pricing model on price and payoff autocorrelations. We obtain the approximations of the basic pricing equation that describe the mean price “to-day,” mean payoff...

This paper studies the links between the descriptions of macroeconomic variables and statistical moments of market trade, price, and return. The randomness of market trade values and volumes during the averaging interval Δ results in the random properties of price and return. We describe how...

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 price probability and VaR assessments. We introduce...

We consider the randomness of market trade as the origin of price and return stochasticity. We look at time series of trade values and volumes as random variables during the averaging interval Δ and describe the dependences of market-based volatilities of price and return on the volatilities...

We combine machine learning algorithms (ML) with textual analysis techniques to forecast bank stock returns. Our textual features are derived from press releases of the Federal Open Market Committee (FOMC). We show that ML models produce more accurate out-of-sample predictions than OLS...

Stablecoins are a pivotal and debated topic within decentralized finance (DeFi), attracting significant interest from researchers, investors, and crypto-enthusiasts. These digital assets are designed to offer stability in the volatile cryptocurrency market, addressing key challenges in...

We consider volume weighted average price (VWAP) as the 1st market-based statistical moment and derive the dependence of higher statistical moments of price on statistical moments and correlations of the values and volumes of market trades. If all trade volumes are constant during the averaging...

This paper derives the expressions of correlations between prices of two assets, returns of two assets, and price-return correlations of two assets that depend on statistical moments and correlations of the current values, past values, and volumes of their market trades. The usual...

The popularity of cryptocurrency exchanges has surged in recent years, accompanied by the proliferation of new digital platforms and tokens. However, the issue of credit risk and the reliability of crypto exchanges remain critical, highlighting the need for indicators to assess the safety of...

This paper presents probability distributions for price and returns random processes for averaging time interval Δ. These probabilities determine properties of price and returns volatility. We define statistical moments for price and returns random processes as functions of the costs and the...