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Answer:
The portfolio SD is A. 20.65%
Explanation:
The standard deviation tells the total risk (both systematic and unsystematic) associated with a stock or a portfolio. The portfolio risk or the standard deviation of portfolio can be calculated using the following formula as attached in the picture below.
Using this formula, the standard deviation of the portfolio is:
SDp = √(0.3)² * (0.2)² + (0.7)² * (0.25)² + 2 * (0.3)*(0.7) * 0.4 * (0.2)*(0.25)
Portfolio SD = 0.20645 or 20.645% rounded off to 20.65%
Answer:
Expected Net Cash Flow = $3.8 million
Net Present Value (NPV) = $1.0492 million
Explanation:
Given Cash outflow = $10 million
Provided cash inflows as follows:
Particulars Good condition Moderate condition Bad Condition
Probability 30% 40% 30%
Cash flow $9 million $4 million $1 million
Average expected cash flow each year = ($9 million X 30 %) + ($4 million X 40%) + ($1 million X 30%) = $2.7 million + $1.6 million + $0.3 million = $4.6 million
Three year expected cash flow = ($4.6 million each year X 3) - $10 million = $13.8 million - $10 million = $3.8 million
While calculating NPV we will use Present Value Annuity Factor (PVAF) @12% for 3 years =
NPV = PV of inflows - PV of Outflows = $4.6 million X 2.402 - $10 million = $11.0492 million - $10 million = $1.0492 million
Expected Net Cash Flow = $3.8 million
Net Present Value (NPV) = $1.0492 million