# Sock Value, Time Value of Money

1. Common stock value-zero growth - The company's class A stock has paid a dividened of $5.00 per share for the last 15 years. Management expects to continue to pay at that rate for the forseeable future . Sally Talbout purchased 100 shares of common stock 10 years ago at a time when the required rate of return for the stock was 16%. She wants to sell her shares today. The current required rate of returnfor the stock is 12%. How much capital or loss will she have on her shares.

2. Common stock value-constant growth. McCracken company common stock paid a dividend of $1.20 per share last year. The company expects earnings and dividends to grow at a rate of 5% per year for the forseeable future.

a. What required rate of return for this stock would result in a price per share of $28?

b. If McCracken had both earnings and growth and dividened at a rate of 10% what required rate of return would result in a price per share of 28?

3. Time Value - Your rich uncle offers you a choice of one of the three following alternatives. Assume that all present day investments can obtain a return or 8% compounded semi-annually.

a. $200,000 now or

b. $10,000 a year for 30 years

c. $150,000 at the end of 10 years and another $150, 000 at the end of 20 years

https://brainmass.com/business/business-math/sock-value-time-value-of-money-38722

#### Solution Preview

1. Common stock value-zero growth - The company's class A stock has paid a dividened of $5.00 per share for the last 15 years. Management expects to continue to pay at that rate for the forseeable future . Sally Talbout purchased 100 shares of common stock 10 years ago at a time when the required rate of return for the stock was 16%. She wants to sell her shares today. The current required rate of returnfor the stock is 12%. How much capital or loss will she have on her shares.

Current price when rate of return= 12%

Po= Div1/ (r-g)

Dividend for next year= Div1 = 5

Cost of equity= r= 12%

growth rate of dividends/earnings= g= 0%

Current stock price= Po= ? To be determined

Plugging in the values:

Po= $41.67

Price 10 years back when when rate of return was= 16%

Po= Div1/ (r-g)

Dividend for next year= Div1 = 5

Cost of equity= r= 16%

growth rate of dividends/earnings= g= 0% ...

#### Solution Summary

Calculates stock price for zero growth and constant growth and present value of alternative investments.