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After the market closed on July 27, Google announced earnings of $4.5 per share in the last quarter. As a result, Google’s stock price closed at $136 on July 28. Currently Google’s quarterly earnings growth is 4.9%. Apparently, investors are bidding up the price on the assumption that Google’s market value will exceed that of Microsoft in 2 years. Google’s expected return is 1.3
times of that of Microsoft. Under this assumption, answer the following questions. 1.
(a) Currently Microsoft is traded at $320 per share, with last quarter’s earnings of $9.20 per share. Suppose Microsoft pays out 20% of its earning as dividend, and its quarterly earnings growth rate is 3%, what
are the expected returns for each company? Microsoft:
R=D
1
/P
0
+g, D
1
=D
0
(1+g)
20%*$9.20(1+3%)/$320 +3%=3.59%
Google:
Since Google’s expected return is 1.3 times of that of Microsoft 3.59% * 1.3 =4.67% 2.
(b) There are 8 Billion shares outstanding for Microsoft. Before earning
announcement, investors were expecting Google to have the same total earning (who has 14 billion shares outstanding) in 3 years as that of Microsoft at that time. What was the market expecting for Google’s earning on July 27? Was Google’s stock price higher than $136 on July 27 before closing? Expecting earning for Microsoft:
$9.20*$8* (1+3%)
12
=$104.94
As investors were expecting Google to have the same total earning in 3 years as that of Microsoft, therefore the expecting earning for Google
is:
$104.94/$14*(1+4.9%)
12
=$4.40 per quarter, which means that Google exceed the earning expectation by 2.27% ($4.5/$4.4-1=0.0227), if in the case of the market is efficient, Google’s price on July 27 should be lower than before closing. 3.
(c) Google has decided to pay out 10% of its earnings starting next quarter for the next 2 years. Since the retained earnings drop, the growth rate will reduce to 4.4% per quarter. After that Google will pay out 20% of its earnings as dividends. Consequently, earning growth will
further slow down to 4.0% per quarter forever. What should be the dividend next quarter and dividends in the first quarter in year 2 (in the 9th quarter))?
At 10% payout ratio:
D
1
: 10%*$4.5*(1+4.4%)=$0.4698
At 20% payout ratio:
D
9
: 20%* $4.5*(1+4.4%)
8 *(1+4.0%)=$1.3209 4.
(d) What should be Google’s stock price, if they adopt the dividend policy? [hint: although we have different assumptions, the expected returns remain the same] Is Google undervalued? As we already calculated the D
1 and D
9
, we can use two stages model to compute the price for Google: D
1
/r-g
1 [1-(1+g
1
)
8
/(1+r)
8
]+1/(1+r)
8 D
9
/ r-g
2
$0.4698/4.67%-4.4%[1-(1+4.4%)
8
/(1+4.67%)
8
] +1/(1+4.67%)
8
$1.3209/4.67%-4.0%=$140.40, which is greater than stock price $136 after the earning announced, Google is underpriced.
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