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Following table shows the actual amounts for year 2016 and projections for next 5 years of the firm KNJ (amounts are in millions). Actual Projected

Following table shows the actual amounts for year 2016 and projections for next 5 years of the firm KNJ (amounts are in millions).


Actual

Projected
2016

Year + 1
Year + 2
Year + 3
Year + 4
Year + 5
Comprehensive Income
$3,100

$2,944
$3,069
$3,199
$3,335
$3,475
Common shareholders’ equity
Paid-in Capital $659 $694 $714 $732 $749 $764
Retained Earnings $12,163 $12,604 $12,837 $12,989 $13,036 $12,977
Accumulated Other ($100) ($100) ($100) ($100) ($100) ($100)
Comprehensive Income
Total Common Equity
$12,722

$13,198
$13,451
$13,621
$13,685
$13,641

Assume the following at beginning of Year + 1 for KNJ:

1. Market equity beta for KNJ is 1.00

2. Risk free interest rate is 3.0% and market risk premium is 6.00%.

3. KNJ has 500 million outstanding shares and is trading at $71 per share.

4. KNJ’s outstanding interest bearing debt is $8,200 million. Assume that the market value of the

debt is also $8,200 million. The interest rate is 4.0%.

5. There are no preferred stocks.

6. KNJ has $940 million in equity capital from non-controlling interests. The required rate of return

for the non-controlling interests is 15%.

7. The average tax rate is 30%

Questions: (Already answered A thru D - PLEASE answer E through I. Thank you!

a. Use CAPM to compute the required rate of return on common equity capital. ANSWER -

cost of equity = risk free rate + Beta * market risk premium

= 3% + 1 * 6% = 9%

b. Compute the weighted-average cost of capital ANSWER -

WACC = (debt/capital)* after-tax cost of debt + (equity/capital)*cost of equity

Note that as per clean ssurplus accounting we include Non controlling interest in equity to ensure more accurate valuation.

WACC = 0.375 * 0.04 *(1-0.3) + 0.625 * 0.09 = 6.67%

c. Use the clean surplus accounting approach to derive the projected dividends for common

shareholders for Year + 1 through Year + 5 based on comprehensive income and shareholders’

equity. Throughout this problem, you can ignore the dividends to the noncontrolling interests. ANSWER

c. Dividends


year +1
year +2
year +3
year +4
year +5
year +6
Comprehensive income
2944
3069
3199
3335
3475
3579
Other comp. income
0
0
0
0
0
0
Income
2944
3069
3199
3335
3475
3579
BV(t-1)
12722
13198
13451
13621
13685
13641
BV(Tt)
13198
13451
13621
13685
13641
14030
Dividend
2468
2816
3029
3271
3519
3190

Dividend = Income + Book value last year - Book Value this year

where, income includes both comprehensive and other comprehensive income. In this case, since accumulated other comprehensive income does not change, I have assumed other comprehensive income as zero.

d. Use the clean surplus accounting approach to project the continuing dividends for common

shareholders in Year + 6. Assume that the steady-state long-run growth rate will be 3% in Year+6

and beyond. ANSWER

d. Projected Dividend

Refer table above. For year +6, we have increased the comprehensive income and retained earnings by 3%. Paid in capital do not necessarily change every year, hence i have kept it constant at year+5 level. For accumulated other comprehensive income, i have followed the historical trend and kept it at same level.


2016
year +1
year +2
year +3
year +4
year +5
year +6
Comprehensive income
3100
2944
3069
3199
3335
3475
3579








Paid in capital
659
694
714
732
749
764
764
Retained earnings
12163
12604
12837
12989
13036
12977
13366
Acc. Other comp income
-100
-100
-100
-100
-100
-100
-100
Total comon equity
12722
13198
13451
13621
13685
13641
14030

e. Using the required rate of return on common equity as discount rate, calculate the present

value of the dividends for years Year + 1 through Year + 5.

f. Using the required rate of return on common equity as discount rate and long-run growth rate

of 3%, calculate the present value of continuing value of KNJ as of the start of Year + 1.

g. Compute the value of share of common stock (Compute the sum of present value of dividends for Year + 1 through Year + 5 and present value of continuing value, apply midyear discounting adjustment, and calculate per share value).

h. Using the same assumptions made earlier, re-compute the KNJ share value for the two following scenarios:

Scenario 1: Long-run growth rate as 2% (not 3% as before) and assume that the required rate of return on equity is 1 percentage point higher than the one calculated in question (a).

Scenario 2: Long run growth rate as 4% (not 3% as before) and assume that the required rate of return on equity is 1 percentage point lower than the one calculated in question (a).

i. Do you recommend buy or sell of KNJ share based on the current price and the value range calculated above?

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