The paper aims to present an exchange ratio for merging companies that incorporates the change in the level of riskiness. Its main objective has been achieved exploiting CAPM offers a formula that determines a risk-adjusted exchange ratio that takes into account both risk and synergy

We consider abstract exchange mechanisms wherein individuals submit "diversified" offers in m commodities, which are then redistributed to them. Our first result is that if the mechanism satisfies certain natural conditions embodying "fairness" and "convenience" then it admits unique prices, in...