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The Executive Compensation Controversy - Fondazione Rodolfo ...

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THE EXECUTIVE COMPENSATION CONTROVERSY: 24 MAY 2010A TRANSATLANTIC ANALYSISwhereN'(z) = 1 2" e#z 2 / 2 .!<strong>The</strong> Option Vega is related to the “incentives” executives have to increase the risk (since itindicates how much the value of the option increases for an incremental increase in stockpricevolatility). <strong>The</strong> Option Vega is maximized when:P = Xe "(ln(1+r)"ln(1+d)"#2/2)T .For typical values of r, d, and σ, the Option Vega is highest when the stock price is close tothe exercise price. For example, note that σ=.30, r=4.6% and d=0. <strong>The</strong>n!ln(1+r) " ln(1+ d) " # 2 /2 = -.000027and the Option Vega is maximized when P = .99997X.!-53-

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