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Act like a helpful tutor and exlain step-by-step solution with explanation and final answer:Suppose Best Buy stock is trading for $90 per share for a total market cap of $17 billion, and Walt Disney has 2.44 billion shares outstanding. If you hold the market portfolio, and as part of it hold 119 shares of Best Buy, how many shares of Walt Disney do you hold?

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Act like a helpful tutor and exlain step-by-step solution with explanation and final answer:Uploaded ImageSuppose Best Buy stock is trading for $90 per share for a total market cap of $17 billion, and Walt Disney has 2.44 billion shares outstanding. If you hold the market portfolio, and as part of it hold 119 shares of Best Buy, how many shares of Walt Disney do you hold?

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Asked by: Francis
Created at: 2026-02-24 01:30:21

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Let's solve the problem **step by step**: --- ## **Step 1: Find the Market Value of Walt Disney Stock** We need to know the total market cap of Walt Disney. We know: - Number of Walt Disney shares: **2.44 billion** - But we don’t know the price per share yet. --- ## **Step 2: Find the Proportion of Best Buy in Market Portfolio** We know: - Best Buy's market cap = **$17 billion** - Walt Disney's market cap = unknown (let's call it \( x \)) If you hold the market portfolio, the ratio of the number of shares you hold in each company should be **proportional to their market weights**. --- ## **Step 3: Calculate the Dollar Value of Market Portfolio Represented by 119 Shares of Best Buy** - Best Buy's price per share = **$90** - Number of Best Buy shares held = **119** So, \[ \text{Dollar value in Best Buy} = 119 \times 90 = \$10,710 \] --- ## **Step 4: Find the Market Value Proportion** The fraction of the market portfolio in Best Buy: \[ \text{Fraction in Best Buy} = \frac{\text{Best Buy Market Cap}}{\text{Total Market Cap}} \] But we don’t know the total market cap. Let’s denote: - Best Buy market cap = **$17 billion** - Walt Disney market cap = \( 2.44 \text{ billion} \times P_{DIS} \) - Total market cap = $17B + \text{Disney market cap}$ But, for the purpose of this problem, we only need the **relative dollar values**. --- ## **Step 5: Proportion of Investment** If you have $10,710 in Best Buy, you must have a proportionate value in Disney, according to their market cap weights. Let’s call: - Dollar value in Disney = \( x \) \[ \frac{10,710}{17,000,000,000} = \frac{x}{2.44 \times 10^9 \times P_{DIS}} \] --- ## **Step 6: Express Dollar Value in Disney** \[ x = 10,710 \times \frac{2.44 \times 10^9 \times P_{DIS}}{17,000,000,000} \] \[ x = 10,710 \times \frac{2.44 \times P_{DIS}}{17} \] --- ## **Step 7: Number of Disney Shares** \[ \text{Number of Disney shares} = \frac{x}{P_{DIS}} \] Plug in the value of \( x \): \[ \text{Number of Disney shares} = \frac{10,710 \times \frac{2.44 \times P_{DIS}}{17}}{P_{DIS}} \] \[ = \frac{10,710 \times 2.44}{17} \] --- ## **Step 8: Calculate the Final Number** \[ = \frac{10,710 \times 2.44}{17} = \frac{26,972.4}{17} \approx 1,587 \] --- ## **Final Answer** \[ \boxed{1,587} \] **If you hold 119 shares of Best Buy in the market portfolio, you would hold approximately 1,587 shares of Walt Disney.** --- ### **Summary Table** | Company | Shares Held | Calculation | |-------------|-------------|------------------------------| | Best Buy | 119 | Given | | Walt Disney | 1,587 | \( \frac{10,710 \times 2.44}{17} \) | --- If you need any step clarified, let me know!

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