Question

In: Finance

Far Side Corporation is expected to pay the following dividends over the next four years: $14,...

Far Side Corporation is expected to pay the following dividends over the next four years: $14, $11, $8, and $5. Afterward, the company pledges to maintain a constant 5 percent growth rate in dividends forever. If the required return on the stock is 13 percent, what is the current share price? (Do not round your intermediate calculations.)

options:

$69.86

$66.37

$67.30

$71.96

$75.23

Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next 8 years because the firm needs to plow back its earnings to fuel growth. The company will pay a $7 per share dividend in 9 years and will increase the dividend by 7 percent per year thereafter. If the required return on this stock is 13 percent, what is the current share price? (Do not round your intermediate calculations.)

options:

$43.89

$45.20

$46.08

$41.69

$38.84

Solutions

Expert Solution

Part A:

Price = PV of CFs from it.

D5 = D4( 1+g)

= $ 5 ( 1 + 0.05 )

= $ 5 * 1.05

= $ 5.25

P4 = D5 / [ Ke - g ]

= 5.25 / [ 13% - 5% ]

= 5.25 / 8%

= $ 65.63

Price calculation:

Year particulars CF PVf @13% Disc CF
1 D1 $   14.00     0.8850 $   12.39
2 D2 $   11.00     0.7831 $      8.61
3 D3 $      8.00     0.6931 $      5.54
4 D4 $      5.00     0.6133 $      3.07
4 P4 $   65.63     0.6133 $   40.25
Price of Stock $   69.87

Option A is correct.

Part B:Price = PV of CFs from it.

P8= D9 / [ Ke - g ]

= $ 7 / [ 13% - 7% ]

= $ 7 / 6%

= 116.67

P0 = P8 * PVF(r%, n)

= $ 116.67 * PVF(13%, 8)

= $ 116.67 * 0.3762

= $ 43.89

Option A is correct


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