To find the opening price of the stock, we can set up the problem using the fact that the stock lost 2% to reach $46.55.
Let the opening price be \( x \). Since the stock lost 2%, the closing price can be expressed as:
\[ x - 0.02x = 46.55 \]
This simplifies to:
\[ 0.98x = 46.55 \]
Next, we can solve for \( x \):
\[ x = \frac{46.55}{0.98} \]
Calculating this gives:
\[ x \approx 47.55 \]
Therefore, the opening price of the stock was approximately $47.55.