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Business Mathematics and Basic Statistics · Ch 2 — Shares and Dividends

Face Value and Market Value of a Share

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Face Value and Market Value of a Share

This WBCHSE Class 12 Commerce Business Mathematics and Basic Statistics chapter looks at the arithmetic behind owning shares of a company — how much a share is officially worth on paper, how much it actually costs to buy, and how much income it earns its owner.

Face value

When a company is formed, it divides its total capital into a large number of equal units called shares, and prints a fixed price on each share certificate — this printed price is the face value (also called the nominal value or par value) of the share. Face value never changes once a share is issued; common face values in India are ₹10 or ₹100.

Market value

Once shares are listed and traded, their market value is the price at which the share actually changes hands on a stock exchange on a given day — this fluctuates constantly with demand, company performance, and investor sentiment, and is almost never equal to the face value.

  • A share trading above its face value is said to be at a premium: Market Value=Face Value+Premium\text{Market Value} = \text{Face Value} + \text{Premium}.
  • A share trading below its face value is said to be at a discount: Market Value=Face Value−Discount\text{Market Value} = \text{Face Value} - \text{Discount}.
  • A share trading exactly at its face value is said to be at par.
Note

Face value is fixed; market value moves

Every dividend calculation in this chapter is worked out on the FACE value (the company promises a percentage of the face value as dividend), while every question about how much an investor actually PAYS or what YIELD an investor actually EARNS is worked out on the MARKET value. Keeping these two numbers separate is the single most important habit in this chapter.

Investment amount

The total amount an investor pays to buy nn shares is simply

Investment=n×Market Value per share\text{Investment} = n \times \text{Market Value per share}

So buying 200 shares of face value ₹10 quoted at a market value of ₹15 costs 200×15=₹3,000200 \times 15 = ₹3{,}000 to acquire — not 200×10=₹2,000200\times10=₹2{,}000, which is a very common slip.

The same standard share-market arithmetic taught here — face value, market value, dividend and yield — is a well-established topic across commerce-mathematics curricula nationally, applied here to WBCHSE's own Class 12 Commerce syllabus.

Definition 1Face Value (F.V.)

The fixed, printed value of a share as stated on its certificate at the time of issue; never changes afterward. Dividend percentages are always calculated on the face value.

Definition 2Market Value (M.V.)

The price at which a share is actually bought or sold on a given day; fluctuates with demand and company performance. Investment amounts and yield are always calculated on the market value.