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# What is the intrinsic value of the company's shares today?

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Your company is looking to make the following annual dividend payments over the next 4 years, commencing 1 year from today: \$10, \$14, \$7 & \$2. After this time the company expects to maintain a constant growth rate of dividends of 5% indefinitely.

1. With a required rate of return equal to 4 times the current return on government bonds (currently 3.5%), what is the intrinsic value of the company's shares today?

2. How do you determine of the shares are overvalued or undervalued?

3. What assumptions are you making about a shareholder investment in the company in order to justify the calculated intrinsic value in part 1?

4. What would be the difference in your answer to part 1 if the required rate of return of the shares was only equal to only 2 times the return on government bonds? Show calculations.

5. Explain your answer to part 4 in terms of the relationship between price and yield.

#### Solution Preview

1. Required rate of return = 3.5%*4=14%
Intrinsic value of shares = PV of all future dividends payments
=PV of dividend payments for first four years + PV of value of stock at the end of 4 years.
=10/(1+14%)+14/(1+14%)^2+7/(1+14%)^3+2/(1+14%)^4+2*(1+5%)/(14%-5%)*1/(1+14%)^4
=\$39.2686

2. If the current market value of the share is more than \$39.2686, the ...

#### Solution Summary

You will find the answer to this puzzling assignment inside...

\$2.49