Math Problem Statement
- Shining Star Company’s current balance sheet shows total common equity of $6,225,000. The company has 600,000 shares of stock outstanding, and they sell at a price of $29.20 per share. By how much do the firm’s market and book values per share differ?
Question 7 options:
a)
$21.67
b)
$19.96
c)
$20.13
d)
$22.76
e)
$18.83
Solution
To determine how much the firm's market and book values per share differ, we need to calculate both the market value per share and the book value per share, then find the difference.
Step 1: Calculate the Book Value per Share
The book value per share is calculated as:
Given:
- Total Common Equity = $6,225,000
- Shares Outstanding = 600,000
Step 2: Calculate the Market Value per Share
The market value per share is given as the price of the stock:
Step 3: Find the Difference Between Market and Book Value per Share
Rounding to two decimal places, the difference is $18.83.
Answer:
e) $18.83
Would you like further clarification on the steps? Here are a few related questions to explore:
- What factors could cause the market value per share to be higher or lower than the book value per share?
- How is total common equity related to a company’s overall financial health?
- What is the significance of market value versus book value in stock analysis?
- How would you calculate the price-to-book (P/B) ratio?
- What happens to market value and book value if the company's equity changes (e.g., due to new stock issuance or repurchases)?
Tip: The market value of a share reflects investor sentiment and future prospects, while the book value is based on historical costs and may not represent a company’s current worth.
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Math Problem Analysis
Mathematical Concepts
Financial Mathematics
Equity Valuation
Market Value vs. Book Value
Formulas
Book Value per Share = Total Common Equity / Shares Outstanding
Difference = Market Value per Share - Book Value per Share
Theorems
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Suitable Grade Level
Undergraduate Finance/Accounting
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