This paper examines “fat tails puzzle” in the financial markets. Ignoring the rate of convergence in Central Limit Theorem (CLT) provides the “fat tail” uncertainty. In this paper, we provide a review of the empirical results obtained “fat tails puzzle” using innovative method of...

The early work of Tobin (1958) showed that portfolio allocation decisions can be reduced to a two stage process: first decide the relative allocation of assets across the risky assets, and second decide how to divide total wealth between the risky assets and the safe asset. This so called...

Tail risk refers to the possibility that a rare event would adversely affect the value of a portfolio in a significant manner. It became much more relevant due to recent periods of strong market turbulence.We describe how to quantify such risk, which tail risk protection strategies were...

The author's study analyzes, loan valuation methods using discrete time model of contingent claims analysis. In the empirical test, the undiversifiable risk was measured by the correlation coefficient of one borrower with the average return of all borrowers. The results of the test supported the...

We investigate the impact of shrinkage estimation techniques for the moments of asset returns on risk-parity portfolios. In contrast to mean-variance portfolios, the risk contributions of individual assets in risk-parity portfolios are fixed a priori. This additional restriction stabilizes...

The aim of this paper is to provide more transparency regarding risk parity portfolios. We design a structural framework to properly describe, evaluate, and improve the performance characteristics of risk parity portfolios. This is achieved by segregating the input parameter for the risk parity...