Math Problem Statement

A firm had sales revenue and net income during the current year of $500,000 and $60,000 respectively. The firm has $1,200,000 in total assets, the total amount of stockholders' equity was $500,400, and common shares outstanding were 120,000 all year. If the market price of the stock is $20 per share, what is the firm's book value per share?

Solution

To calculate the firm's book value per share, we can use the following formula:

Book Value per Share=Stockholders’ EquityNumber of Common Shares Outstanding\text{Book Value per Share} = \frac{\text{Stockholders' Equity}}{\text{Number of Common Shares Outstanding}}

From the information provided:

  • Stockholders' equity = $500,400
  • Number of common shares outstanding = 120,000

Now let's calculate the book value per share:

Book Value per Share=500,400120,000=4.17\text{Book Value per Share} = \frac{500,400}{120,000} = 4.17

Thus, the firm's book value per share is $4.17.

Let me know if you need further details or explanations!


Here are 5 related questions to consider:

  1. How does book value per share differ from market value per share?
  2. What factors can cause stockholders' equity to change?
  3. How is book value per share used by investors to assess a company's worth?
  4. What role does net income play in influencing a company's equity?
  5. How does the price-to-book ratio affect stock valuation?

Tip: Understanding the difference between book value and market value can give deeper insights into a company’s financial health.

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Math Problem Analysis

Mathematical Concepts

Financial Math
Book Value Calculation

Formulas

Book Value per Share = Stockholders' Equity / Number of Common Shares Outstanding

Theorems

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Suitable Grade Level

College-Level Finance