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SENSITIVITY OF THE THEORETICAL MODELS OF VALUE- EARNINGS AND VALUE-TO-BOOK TO CHANGES IN ASSUMPTIONS. This problem explores the sensitivity of the value-earnings and value-to-book models to changes in underlying assumptions. We recommend that you design a computer spread- sheet to perform the calculations, particularly for the value-to-book ratio.
Required
a. Assume that current period earnings per share were $1.00 for each of the following scenarios. Compute the value-earnings ratio based on projected one-year-ahead earnings under each of the following sets of assumptions:
Scenario
Cost of Equity Capital
Growth Rate in Earnings
A
0.15
0.06
B
0.08
C
0.10
D
0.13
E
F
G
0.11
H
I
b. Assess the sensitivity of the value-earnings ratio to changes in the cost of equity capital and changes in the growth rate.
c. Compute the value-to-book ratio under each of the following sets of assumptions. Assume zero abnormal ROCE in the periods following the number of years of excess earnings.
ROCE
Dividend Payout Percentage
Years of Excess Earnings
0.20
0.30
10
0.18
0.14
0.40
15
20
d. Assess the sensitivity of the value-to-book ratio to changes in the assumptions made about the various underlying variables.
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