Give step-by-step solution with explanation and final answer: An investor owns 8,000 shares of a firm's common stock, which are currently trading for $56.00 per share. The company has announced a 2 - for-1 stock split. After the split, how many shares will the investor own, and how much will the shares be worth?
Question:
Give step-by-step solution with explanation and final answer: An investor owns 8,000 shares of a firm's common stock, which are currently trading for $56.00 per share. The company has announced a 2 - for-1 stock split. After the split, how many shares will the investor own, and how much will the shares be worth?
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Asked by: Shubham Kumar Arora
Created at: 2025-05-27 00:31:15
Asked by: Shubham Kumar Arora
Created at: 2025-05-27 00:31:15
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Let's solve the problem step-by-step:
**Given:**
- Investor owns = **8,000 shares**
- Current price per share = **$56.00**
- The company announces a **2-for-1 stock split**
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### **Step 1: Understanding a 2-for-1 Stock Split**
A **2-for-1 stock split** means:
- Each existing share is split into **2 new shares**.
- The total number of shares owned **doubles**.
- The price per share is **halved** (so the total value of investment remains the same).
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### **Step 2: Calculating Shares Owned After the Split**
**Old number of shares:** 8,000
**After split:**
\[ \text{New number of shares} = \text{Old number of shares} \times 2 \]
\[ \text{New number of shares} = 8,000 \times 2 = 16,000 \]
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### **Step 3: Calculating New Share Price**
**Old share price:** $56.00
**After split:**
\[ \text{New share price} = \frac{\text{Old share price}}{2} \]
\[ \text{New share price} = \frac{56.00}{2} = \$28.00 \]
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### **Step 4: Total Value of Investment**
Total value before split:
\[ 8,000 \times \$56.00 = \$448,000 \]
Total value after split:
\[ 16,000 \times \$28.00 = \$448,000 \]
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## **Final Answer**
**After the 2-for-1 stock split:**
- The investor will own **16,000 shares**
- Each share will be worth **$28.00**
- **Total investment value remains $448,000** (unchanged)
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