Math Problem Statement

what will be the average price per share if i buy15 stocks worth $5.83 with 152 already purchased shares at a price of $6.08

Solution

To find the average price per share after purchasing additional shares, we can use the following formula for the weighted average price:

Average Price=(Price of Old Shares×Number of Old Shares)+(Price of New Shares×Number of New Shares)Total Number of Shares\text{Average Price} = \frac{(\text{Price of Old Shares} \times \text{Number of Old Shares}) + (\text{Price of New Shares} \times \text{Number of New Shares})}{\text{Total Number of Shares}}

Given:

  • Price of old shares = $6.08
  • Number of old shares = 152
  • Price of new shares = $5.83
  • Number of new shares = 15

Let's plug these values into the formula:

Average Price=(6.08×152)+(5.83×15)152+15\text{Average Price} = \frac{(6.08 \times 152) + (5.83 \times 15)}{152 + 15}

I will calculate this for you.The average price per share, after buying 15 more shares at $5.83 with 152 shares already purchased at $6.08, will be approximately $6.06.

Would you like more details or have any questions?

Here are some related questions:

  1. How does averaging the stock price affect your overall investment value?
  2. How would the average price change if the number of new shares increased?
  3. What would happen if you bought shares at a higher price instead of a lower one?
  4. How can stock splits impact the average price calculation?
  5. How can you track weighted average price across multiple transactions?

Tip: Keeping track of your average purchase price helps you better understand your break-even point for selling.

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Math Problem Analysis

Mathematical Concepts

Weighted Average
Stock Price Calculation

Formulas

Average Price = (Price of Old Shares × Number of Old Shares + Price of New Shares × Number of New Shares) / Total Number of Shares

Theorems

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Suitable Grade Level

Grades 10-12