Question

In: Finance

Red Royal Industrial stock pays quarterly dividends and has an expected annual return of 15.88 percent....

Red Royal Industrial stock pays quarterly dividends and has an expected annual return of 15.88 percent. The stock is expected to have a price of 111.23 dollars in 3 months from today and is expected to have a price of 111.43 dollars in 6 months from today. What is the current price of Red Royal Industrial stock if the firm is expected to pay quarterly dividends forever and the quarterly dividend in 3 months from today is expected to be 3.96 dollars?

Solutions

Expert Solution

Price of dividend formula is P0 = (P1+D1)/(1+ke)

To find Current price, P1 is known, but quarerly dividend is not known, But price of stock in 3 months and in 6 months is given.

So first we will calculate dividend from above formula. P1 is known, P2 is known and D2 will be find out.

D2 means quarterly dividend is same in given year.

Annual Expected rate of return 15.88 %
Quarterly exp. Rate of return (15.88/4)= 3.97 % or 0.0397
Expected price in 3 months = 111.23
Expected price in 6 months = 111.43
P1 = ( D2 + P2 )/ (1 + Ke)
111.23 + (D1+111.43)/(1+0.0397)
111.23 * 1.0397 = D1 + 111.43
D2 = 4.215831
Quarterly dividned = 4.215831
So, Po = (P1+D1)/(1+ke)
P0 = (111.23 + 4.215831)/(1+0.0397)
P0 =   $ 111.04
So, Current price of stock is $111.04.
(b)
Quarterly dividend = 3.96 forever
Expected rate of return quarerly = 0.0397
Price of stock paying perpetual dividend = Dividend / ke
3.96 / 0.0397
$                           99.75
So, price of stock is $99.75.

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