The theory of fair geometric returns, F theory for short, rejects the generally accepted notion that volatility is the risk of risky assets. Instead, it claims that capital market volatility, in turn, constitutes the maximum achievable geometric return. In order to get to the point, F theory, in...

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...

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...

We show that the price and returns volatilities depend on the first and the second degree of the total values and the total volumes of the transactions aggregated during averaging time interval Δ. We derive expressions that describe price volatility via volatilities of the value and the volume...

This work aims to initiate a reflection on the awareness of environmental, social, and corporate governance issues, summarized in the acronym ESG (Environmental, Social, Governance), among Italian SMEs. The integration of ESG issues into business models has led to an expansion of the risk...

In less than fifteen years, the world has experienced the worst financial crisis since the 1930’s, the worst global pandemic since the flu in 1918, and the largest war fought since the Second World War. This manuscript argues that these crises are not isolated events. The main thesis is that...

An asset and liability management framework for managing risks arising from sovereign foreign exchange obligations requires a joint analysis of (i) the external financial liabilities resulting from a country’s sovereign debt and (ii) the foreign exchange assets of its central bank. Governments...

An asset and liability management framework for managing risks arising from sovereign foreign exchange obligations requires a joint analysis of (i) the external financial liabilities resulting from a country’s sovereign debt and (ii) the foreign exchange assets of its central bank. Governments...

Implied volatility (IV) forecasting is inherently challenging due to its high dimensionality across various moneyness and maturity, and nonlinearity in both spatial and temporal aspects. We utilize implied volatility surfaces (IVS) to represent comprehensive spatial dependence and model the...

Abstract Given a risk outcome y over a rating system {R_i }_(i=1)^k for a portfolio, we show in this paper that the maximum likelihood estimates with monotonic constraints, when y is binary (the Bernoulli likelihood) or takes values in the interval 0≤y≤1 (the quasi-Bernoulli likelihood), are...