Consider the Following Discrete Probability Distributions of Payoffs for 3

question 19

Multiple Choice

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 one-day, 99% confidence level, value at risk (VAR) of securities Alpha and Beta, respectively (in millions) ?

• A)$3 and $25.50
• B)$3 and $0.75
• C)$248 and 248
• D)$300 and $300
• E)300 and 3,300

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Definitions:

Net Working Capital

This reflects the variance between what a business owns in the short term versus what it owes, highlighting its financial robustness and operational productivity.

Accounts Payable

Money owed by a business to its suppliers shown as a liability on the company's balance sheet.

Inventory Increase

A situation where a company experiences a rise in the level of goods and materials on hand, reflecting either a buildup in anticipation of higher sales or slower sales than expected.

Depreciation Tax Shield

The tax saving achieved by a company from deducting depreciation expenses on its taxable income.