\begin{tabular}{|c|c|c|c|}
\hline
& Stock A & Stock B & Stock C \\
\hline
52W high; 52W low & [tex]$\$[/tex] 87.54 ; \[tex]$ 32.21$[/tex] & [tex]$\$[/tex] 9.68 ; \[tex]$ 6.25$[/tex] & [tex]$\$[/tex] 37.11 ; \[tex]$ 35.92$[/tex] \\
\hline
Div & \[tex]$ 0 & \$[/tex] 0.05 & \[tex]$ 0.75 \\
\hline
P/E & 36 & 20 & 7.9 \\
\hline
Close & \$[/tex] 85.43 & \[tex]$ 6.98 & \$[/tex] 36.87 \\
\hline
\end{tabular}

An investor's primary concern with adding a new stock to their portfolio is reducing risk. Which stock should they choose?

A. Stock A, because it has a div value of 0 and a relatively high P/E ratio.

B. Stock A, because its last price indicates slow but steady growth to come.

C. Stock C, because its lower P/E ratio means it is least likely to fail.

D. Stock C, because its price spread and div suggest stability of earnings.



Answer :

Let's analyze the information given for each stock to determine which one would best reduce risk for the investor.

### Stock Analysis

#### Stock A:
- 52-Week High / Low: [tex]$87.54 / $[/tex]32.21
- Dividend (Div): [tex]$0 - Price-to-Earnings (P/E) Ratio: 36 - Close Price: $[/tex]85.43

Observations:
- The P/E ratio of 36 is quite high, indicating that the stock is potentially overvalued.
- The dividend is zero, providing no income through dividends.

#### Stock B:
- 52-Week High / Low: [tex]$9.68 / $[/tex]6.25
- Dividend (Div): [tex]$0.05 - Price-to-Earnings (P/E) Ratio: 20 - Close Price: $[/tex]6.98

Observations:
- The P/E ratio of 20 is moderate.
- The dividend is fairly low, offering minimal income through dividends.

#### Stock C:
- 52-Week High / Low: [tex]$37.11 / $[/tex]35.92
- Dividend (Div): [tex]$0.75 - Price-to-Earnings (P/E) Ratio: 7.9 - Close Price: $[/tex]36.87

Observations:
- The P/E ratio of 7.9 is relatively low, suggesting the stock is potentially undervalued.
- The dividend is significantly higher than the other stocks, providing a good income through dividends.
- The price spread between the 52-week high and low is quite narrow, indicating lower volatility and stability.

### Conclusion
To reduce risk, the investor should focus on:
- Lower P/E ratio, indicating that the stock is less likely to be overvalued and potentially has more stable earnings.
- Steady or high dividend yields, offering regular income and suggesting company profitability.
- Lower volatility, as indicated by a narrow price spread, meaning less dramatic price swings and potentially more stability.

Based on these criteria, Stock C is most preferable because:
- It has a low P/E ratio of 7.9, indicating lower valuation risk and potentially stable earnings.
- It offers a high dividend of $0.75, suggesting more reliable income.
- The narrow price spread (52-week high and low close together) indicates lower volatility and more stability.

Therefore, the investor should choose Stock C because:
- Option 3: Stock C's lower P/E ratio means it is least likely to fail.
- Option 4: Stock C's price spread and dividend suggests stability of earnings.

So the correct choice is Stock C.