The problem provides information about Sheng, Inc.'s stock and financial data. The questions ask for: a. The market value of the stock. b. The book value per share. c. The liquidation value per share.

Applied MathematicsFinancial MathematicsStock ValuationBook ValueLiquidation ValueMarket Value
2025/7/8

1. Problem Description

The problem provides information about Sheng, Inc.'s stock and financial data. The questions ask for:
a. The market value of the stock.
b. The book value per share.
c. The liquidation value per share.

2. Solution Steps

a. Market Value of the Stock:
The problem states that Sheng, Inc. stock currently sells for $70 per share. It also states that there are 10,000 shares of common stock outstanding.
Therefore, the total market value of the stock is the price per share multiplied by the number of shares.
Market Value=Price per shareNumber of sharesMarket\ Value = Price\ per\ share * Number\ of\ shares
Market Value=Market\ Value = 70 * 10000 = 700000700000
b. Book Value per Share:
Book value per share is calculated using the following formula:
Book Value per share=Total AssetsTotal LiabilitiesNumber of Shares OutstandingBook\ Value\ per\ share = \frac{Total\ Assets - Total\ Liabilities}{Number\ of\ Shares\ Outstanding}
Given:
Total Assets = $1,300,000
Total Liabilities = $350,000
Number of Shares Outstanding = 10,000
Book\ Value\ per\ share = \frac{1300000 - 350000}{10000} = \frac{950000}{10000} = 9595
c. Liquidation Value per Share:
Liquidation value per share is calculated by dividing the liquidation value of assets by the number of shares outstanding.
Liquidation Value per Share=Liquidation Value of AssetsNumber of Shares OutstandingLiquidation\ Value\ per\ Share = \frac{Liquidation\ Value\ of\ Assets}{Number\ of\ Shares\ Outstanding}
Given:
Liquidation Value of Assets = $760,000
Number of Shares Outstanding = 10,000
Liquidation\ Value\ per\ Share = \frac{760000}{10000} = 7676

3. Final Answer

a. Market value of the stock: $700000
b. Book value per share: $95
c. Liquidation value per share: $76

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