Consider the Following Discrete Probability Distributions of Payoffs for 3

Consider the following discrete probability distributions of payoffs for 3 securities that are held in a DI's trading portfolio (payoff amounts shown are in $millions) : $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Alpha } & 0.50 & 355 \\\hline & 0.49 & 150 \\\hline & 0.01 & - 300 \\\hline\end{array}$$ $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Beta } & 0.50 & 400 \\\hline & 0.49 & 150 \\\hline & 0.0025 & - 300 \\\hline & 0.0075 & - 3,300 \\\hline\end{array}$$ $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Gamma } & 0.49 & 400 \\\hline & 0.49 & 150 \\\hline & 0.01 & - 150 \\\hline & 0.01 & - 2,000 \\\hline\end{array}$$
-What is the expected payoff, the 99% value at risk (VAR) and the expected shortfall (ES) of security Gamma (in millions) ?

A) +$248; -$2,000; -$2000
B) -$248; -$20; -$2,000
C) -$2.150; -$2,150; -$2,150
D) +$248; -$21.50; -$20.00
E) ±$0.00; -248; -$2,150

Correct Answer:

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