Hart Enterprise recently paid a dividend, Do of $1
Hart Enterprise recently paid a dividend, Do of $1.25. It expects to have nonconstant growth of 20% for 2 years followed by a constant rate of 5% thereafter. The firm’s required return is 10%.
a. How far away is the terminal, or horizontal, date?
b. What is the firm’s horizontal, or terminal value?
c. What is the firm’s intrinsic value today P0?
a. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of Year 2.
b. 0 1 2 3
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1.25 1.50 1.80 1.89
37.80 = [pic]
The horizon, or terminal, value is the value at the horizon date of all dividends expected thereafter. In this problem it is calculated as follows:
[pic]
c. The firm’s intrinsic value is calculated as the sum of the present value of all dividends during the supernormal growth period plus the present value of the terminal value. Using your financial calculator, enter the following inputs: CF0 = 0, CF1 = 1.50, CF2 = 1.80 + 37.80 = 39.60, I/YR = 10, and then solve for NPV = $34.09.
7. What will be the norminal rate of return rate of return on a perpetual preferred stock with a $100 par value, a stated dividend of 8% of par and a current market price of a $60, b$80, c$100,d$140?
Vp = Dp/rp; therefore, rp = Dp/Vp.
a. rp = $8/$60 = 13.33%.
b. rp = $8/$80 = 10.0%.
c. rp = $8/$100 = 8.0%.
d. rp = $8/$140 = 5.71%.
9. Bruner Aeronautics has perpetual preferred stock outstanding with a par value of $100. The stock pays a quarterly dividend of $2 and its current price is $80. a. what is norminal annual rate ofreturn? b. What is its effective annual rate of return?
a. The preferred stock pays $8 annually in dividends. Therefore, its nominal rate of return would be:
Nominal rate of return = $8/$80 = 10%.
Or alternatively, you could determine the security’s periodic return and multiply by 4.
Periodic rate of return = $2/$80 = 2.5%.
Nominal rate of return = 2.5% ( 4 = 10%.
b. EAR = (1 + rNOM/4)4 – 1
= (1 + 0.10/4)4 – 1
= 0.103813 = 10.3813%.
18. Mitts Cosmetics Co.’s stock price is $58.88 and it recently paid a $2 dividend. This dividend is expected to grow by 25% for the next 3years and then grow forever at a constant rate, g a
The value of any asset is the present value of all future cash flows expected to be generated from the asset. Hence, if we can find the present value of the dividends during the period preceding long-run constant growth and subtract that total from the current stock price, the remaining value would be the present value of the cash flows to be received during the period of long-run constant growth.
D1 = $2.00 ( (1.25)1 = $2.50 PV(D1) = $2.50/(1.12)1 = $2.2321
D2 = $2.00 ( (1.25)2 = $3.125 PV(D2) = $3.125/(1.12)2 = $2.4913
D3 = $2.00 ( (1.25)3 = $3.90625 PV(D3) = $3.90625/(1.12)3 = $2.7804
( PV(D1 to D3)= $7.5038
Therefore, the PV of the remaining dividends is: $58.8800 – $7.5038 = $51.3762. Compounding this value forward to Year 3, we find that the value of all dividends received during constant growth is $72.18. [$51.3762(1.12)3 = $72.1799 ( $72.18.] Applying the constant growth formula, we can solve for the constant growth rate:
[pic]= D3(1 + g)/(rs – g)
$72.18 = $3.90625(1 + g)/(0.12 – g)
$8.6616 – $72.18g = $3.90625 + $3.90625g
$4.7554= $76.08625g
0.0625= g
6.25%= g.
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rs = 10%
gn = 5%
gs = 20%
gs = 20%
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