The problem provides financial information about Sheng, Inc. and asks to calculate: a) Market value of the stock b) Book value per share c) Liquidation value per share The provided information includes: * Stock price: $70 per share * Total assets: $1,100,000 * Total liabilities (including preferred stock): $315,000 * Shares of common stock outstanding: 13,000 * Liquidation value of assets: $830,000

Applied MathematicsFinancial MathematicsValuationBook ValueLiquidation ValueMarket ValueAccounting
2025/7/8

1. Problem Description

The problem provides financial information about Sheng, Inc. and asks to calculate:
a) Market value of the stock
b) Book value per share
c) Liquidation value per share
The provided information includes:
* Stock price: $70 per share
* Total assets: $1,100,000
* Total liabilities (including preferred stock): $315,000
* Shares of common stock outstanding: 13,000
* Liquidation value of assets: $830,000

2. Solution Steps

a) Market Value of the Stock
The problem states that the stock currently sells for $70 per share. Therefore, the market value per share is simply the given stock price.
b) Book Value per Share
Book value per share is calculated as (Total Assets - Total Liabilities) / Number of Shares Outstanding.
Total Equity = Total Assets - Total Liabilities
TotalEquity=Total Equity = 1,100,000 - 315,000=315,000 = 785,000$
Book Value per Share = Total Equity / Number of Shares Outstanding
BookValueperShare=Book Value per Share = 785,000 / 13,000 = 60.3860.38 (rounded to two decimal places)
c) Liquidation Value per Share
Liquidation value per share is calculated as (Liquidation Value of Assets - Total Liabilities) / Number of Shares Outstanding. Note that the problem states "total liabilities, including preferred stock", which is $315,
0
0

0. This needs to be subtracted from the liquidation value of assets to determine the value attributable to common shareholders during liquidation.

Value available to common shareholders = Liquidation Value of Assets - Total Liabilities
Valueavailabletocommonshareholders=Value available to common shareholders = 830,000 - 315,000=315,000 = 515,000$
Liquidation Value per Share = Value available to common shareholders / Number of Shares Outstanding
LiquidationValueperShare=Liquidation Value per Share = 515,000 / 13,000 = 39.6239.62 (rounded to two decimal places)

3. Final Answer

a) Market value of the stock: $70
b) Book value per share: $60.38
c) Liquidation value per share: $39.62

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