Share Valuation

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Share Valuation means to find the intrinsic or true value of an investment based only on dividends, cash flow and growth rate for a single company. Shares are ownership in a corporation. It has a certain face value, commonly known as the par value of a share/stock. Ownership of shares is documented by issuance of a stock certificate. A share certificate is a legal document that specifies the amount of shares owned by the shareholder, and other information of the stock, such as the par value, the class of the shares etc.

Type of Shares

There are two types of Share i.e. Preference Stock and Common / Equity Stocks:

 

Preference Share

Pay regular fixed dividend and ownership of the company. Hybrid form of shares because it has equity feature of ownership and debt feature of fixed return. Preference share may be perpetual or redeemable:

 

Preference Share Valuation

Use same equation of Bond valuation:

preference stock valuation model

 

Formula

preference share valuation formula

 

Example 1:

Considered that 8 year, 10 percent dividend preference stock with a par value of Rs. 1,000. The required rate of return on this preference stock is 9 percent. What is the value of this share?

share valuation example

 

Share Valuation (Redeemable)

Shares are also called stock or common stock. Ownership of the corporation with flexible or floating return. Valuation is based on the same principle of Present Value as bonds, but there are some complications. Uncertainty associated with future cash flows in the forms of dividends and share price. Difficulty in determining an appropriate discount rate.

share valuation model (redeemable)



Single Period Valuation Model

Valuation is depend upon the a year of dividend and after one year sell of shares:

share valuation single period model

 

Example 2:

ABC equity share expected to provide a dividend of Rs. 2.00 and market price of Rs. 18 a year hence. What price would it sell for now if investors’ required rate of return is 12 percent?

share valuation single period model example

 

Multi-Period Valuation Model

Valuation is depend upon more than one year of dividend and after that selling price of shares:

share valuation multi-period model formula

 

Example 3:

Mr. Ali held 20 share of par value of Rs. 100 each. Dividend for first, second and third year are expected in the amount of Rs. 3, 4 and 5.50 per share respectively and after that share redeemed at face value. Calculate the value of stock if discount rate is 13 %?

share valuation multi-period valuation model example

 

Share Valuation (Irredeemable)

There are several methods (models) to assess the value of a stock whose selling price is not known. Valuation are done on the basis of dividend:

 

Dividend Discount Model (DDM)

DDM used compute the intrinsic value of common shares. When time is too long the value of stock depends upon Present value of dividend. Dividend paid annually and first Dividend received one year after the equity share is bought. To compute the value of the stock, all expected future dividend payments are discounted at an appropriate rate to the Present Value:

dividend discount model

 

Dividend Discount Model (Zero Growth)

Cash flow pattern of zero growth stock is like perpetuity. If we assume that the dividend payments will remain constant then the formula could be written as:

dividend discount model (zero growth)

 

Example 4:

A stock pays a Rs. 12 dividend annually.  If your opportunity cost is 15%, how much is this stock worth to you?

dividend discount model zero growth example

 

Dividend Discount Model (Unlimited Constant Growth)

This model assumes that the dividend payments are growing each year at a constant rate of “g” forever:

dividend discount model (unlimited constant growth)

 

Example 5:

Suppose you want to buy a share of Swiss Farms. Swiss Farms paid a recent dividend at an annual rate of Rs. 2.00 per common share.  After talking to your broker, you expect the dividends to continue to increase at 5% per year, like the past four years.  Your opportunity cost is 12%.  What is this stock worth to you?

dividend discount model unlimited constant growth example

 

Dividend Discount Model (Limited Constant Growth)

This model assumes that the dividend payments are growing each year at a constant rate of “g” for limited time

dividend discount model (limited constant growth)

 

Example 6:

Suppose that Sun Corporation’s dividends this year is Rs. 1.20 per share and that dividends will grow at 10% per year for the next three years, the appropriate discount rate for Corporation’s common stock is 12%.  What is the value of a share?

dividend discount model limited constant growth example

 

Dividend Discount Model (Mixed Growth)

This model assumes that the company and its dividend payments grow much faster than the economy for a certain period at the beginning and then settles to a constant growth rate.

 

Example 7:

Suppose that Sun Corporation’s dividends this year is Rs. 1.20 per share and that dividends will grow at 10% per year for the next three years, followed by a 6% annual growth rate.  The appropriate discount rate for Corporation’s common stock is 12%.  What is the value of a share of Sun Corporation common stock?

Method 1

dividend discount model mixed growth example

 

Method 2

dividend discount model mixed growth solved example

 

Method 3

dividend discount model mixed growth question and answer

 

>>> Study Share Valuation MCQs.

 

Shares Pricing

share pricing

The golden rule is ‘buy low, sell high’.

 

Expected Rate of Return with Growth

expected rate of return with growth formula

 

Example 8:

The expected dividend per share of Habib Bank Ltd. is Rs. 5; the dividend is expected to grow at the rate of 6 percent per year. If the price per share now is Rs. 50, what is the expected rate of return?

expected rate of return with growth example

 

>>> Practice Share Valuation Quiz 1

References

Financial Management: Theory and Practice, Dr Eugene F Brigham & C Micheal Ehrhardt

Fundamentals of Financial Management: Concise Edition, Brigham Houston

The Economist Guide to Financial Management, John Tennet

Financial Management: Core Concepts, Raymond M Brooks

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