Explanation

A value-weighted equity index (also known as a market capitalization-weighted index) is constructed by weighting each stock according to its total market capitalization (price per share × number of shares outstanding).

Analysis of each option:

1. Option A: has a high price - This is incorrect because a high stock price alone doesn't necessarily create bias in a value-weighted index. The index weights stocks by market capitalization, not just price. A stock with a high price but few shares outstanding would have a small market cap and thus a small weight in the index.

2. Option B: splits frequently - This is incorrect because stock splits don't affect market capitalization. When a stock splits, the price decreases proportionally while the number of shares increases proportionally, leaving the total market capitalization unchanged. Therefore, frequent splits don't bias a value-weighted index.

3. Option C: has a large market capitalization - This is CORRECT. In a value-weighted index, stocks with larger market capitalizations have greater influence on the index's performance. This creates a bias toward large-cap stocks, as they dominate the index movements. This is an inherent characteristic of value-weighted indices - they are biased toward larger companies.

Key Concept:

• Value-weighted indices reflect the performance of stocks in proportion to their market value
• Larger companies have greater influence on index movements
• This creates a "large-cap bias" in the index
• This is different from price-weighted indices (like the Dow Jones Industrial Average) where high-priced stocks have more influence