The problem provides information about Sheng, Inc.'s stock and assets. We are asked to calculate the market value of the stock, the book value per share, and the liquidation value per share.

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

1. Problem Description

The problem provides information about Sheng, Inc.'s stock and assets. We are asked to calculate the market value of the stock, the book value per share, and the liquidation value per share.

2. Solution Steps

Market Value of the Stock:
The market value of the stock refers to the total value of all outstanding shares. Since the stock currently sells for $70 per share and there are 13000 shares outstanding, we calculate the market value as follows:
Market Value = (Price per share) * (Number of shares outstanding)
MarketValue=Market Value = 70 * 13000$
MarketValue=Market Value = 910000$
Book Value per Share:
The book value represents the net asset value of a company. First, we need to find the total equity:
Total Equity = Total Assets - Total Liabilities
Total Liabilities = $315000 (given).
Total Assets = $1100000 (given).
TotalEquity=Total Equity = 1100000 - 315000=315000 = 785000$
Book Value per Share = Total Equity / Number of Shares Outstanding
BookValueperShare=Book Value per Share = 785000 / 13000$
BookValueperShare=Book Value per Share = 60.38$ (rounded to two decimal places).
Liquidation Value per Share:
The liquidation value is the value of the company's assets if it were to be liquidated. We are given a liquidation value of $
8
3
0
0
0

0. We need to deduct preferred stock from the liquidation value to find value available to common shareholders. Here we will assume there is no preferred stock outstanding since it is not mentioned, therefore the liabilities only encompass common stock equity.

Liquidation Value per Share = Liquidation Value / Number of Shares Outstanding
LiquidationValueperShare=Liquidation Value per Share = 830000 / 13000$
LiquidationValueperShare=Liquidation Value per Share = 63.85$ (rounded to two decimal places).

3. Final Answer

Market Value of the Stock: $910000
Book Value per Share: $60.38
Liquidation Value per Share: $63.85

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