Case Study 1:-
The rate of return, required by Smith, to accumulate AUD 1,600,000 after 15 years, is computed below:
Computation of Required Rate of Return: |
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Particulars |
Amount |
|
Fund Required after 15 years |
A |
$1,600,000 |
Current Value of Investment Asset |
B |
$900,000 |
Less: Withdrawal for Children’s trust |
C |
$25,000 |
Balance of Investment Asset |
D=B-C |
$875,000 |
Balance Fund required |
E=A-D |
$725,000 |
Annual Savings |
F |
$25,000 |
Period (in yrs.) |
G |
15 |
Required of Return |
H=RATE(G,F,0,(-E),0) |
8.84% |
The required rate of return in accordance to the financial information of Company P, provided, is calculated below:
Calculation of Required Rate of Return:- |
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Particulars |
Amount |
|
Total Book Value of Equity |
A |
$50,000,000 |
Net Income |
B |
$5,000,000 |
Total Dividends Paid |
C |
$2,000,000 |
Total nos. of Shares Outstanding |
D |
1000000 |
Current Market Price per share |
E |
$55 |
Dividend per share |
F= C/D |
$2 |
Earning Per Share |
G=B/D |
$5 |
Retention Rate |
H=1- (F/G) |
60% |
Return on Equity |
I=B/A |
10% |
Dividend Growth Rate |
J=HxI |
6.00% |
Expected Dividend |
K=Fx(1+J) |
2.12 |
Required Rate of Return |
L=J+(K/E) |
9.85% |
The required rate of return of Company P is 9.85%. If Smith would invest in Company P, then he would get (10% – 9.85%) 0.15% lesser returns than his expected returns. As the variance is insignificant, Smith may invest in the stocks of Company P.
There are several capital budgeting processes used for evaluating long time projects. However, amongst those various techniques, Net Present Value and Internal Rate of Return consider the time value of money and provide more appropriate outcome. Hence, these two methods are applied for applied for evaluating the new expansion.
The initial investment outlay for the project is as follows:
Particulars |
Amount |
|
Cost of Building |
A |
30000 |
Cost of Equipment |
B |
20000 |
Working Capital Investment |
C |
10000 |
Total Initial Investment Outlay |
D=A+B+C |
60000 |
The operating cash flows, expected to be generated in each year, are shown below:
Particulars |
Amount |
|
Annual Sales |
E |
80000 |
Variable Cost |
F=Ex60% |
48000 |
Depreciation on Building |
G=A/20 |
1500 |
Depreciation on Equipment |
H=B/5 |
4000 |
Other Fixed Costs |
I |
10000 |
Total Annual Cost |
J=F+G+H+I |
63500 |
Net Operating Income |
K=E-J |
16500 |
Less: Tax |
L=Kx40% |
6600 |
Operating Profit after Tax |
M=K-L |
9900 |
Add: Depreciation on Building |
G |
1500 |
Add: Depreciation on Equipment |
H |
4000 |
Net Operating Cash Flow |
N=M+G+H |
15400 |
At the end of the fourth year, the project would generate the terminal cash flow, as stated below:
Terminal Year Cash Flow: |
||
Particulars |
Amount |
|
Market Value of Building |
O |
25000 |
Market Value of Equipment |
P |
6000 |
Total Expected Sales Proceedings |
Q=O+P |
31000 |
Less: Book Value of Building |
R |
24000 |
Less: Book Value of Equipment |
S |
5000 |
Profit on Sale of Assets |
T=Q-R-S |
2000 |
Tax on Profit |
U=Tx40% |
800 |
Net Terminal Year Cash Flow |
V=Q-U |
30200 |
The net present value and the internal rate of return of the new expansion plan are computed in the following table:
Capital Budgeting Analysis: |
|||||
Particulars |
0 |
1 |
2 |
3 |
4 |
Initial Investment Outlay |
-60000 |
0 |
0 |
0 |
0 |
Annual Operating Cash Flow |
0 |
15400 |
15400 |
15400 |
15400 |
Terminal Year Cash Flow |
0 |
0 |
0 |
0 |
30200 |
Net Cash Flow |
-60000 |
15400 |
15400 |
15400 |
45600 |
Cost of Capital |
12% |
12% |
12% |
12% |
12% |
Discounted Cash Flow |
-60000 |
13750 |
12276.79 |
10961.42 |
28979.62 |
Net Present Value |
5967.83 |
||||
IRR |
3.43% |
As the table, the plan would generate positive NPV and therefore, can be considered for investment. However, the internal rate of return of the project is 3.43%, which is very low in comparison to the cost of capital. Hence, from the investors’ perspective, the project might not be profitable enough.
CBA |
Market Index |
||||
Date |
Stock price |
Monthly Return |
Yearly Return |
Market price |
Yearly Return |
Jun-11 |
30.20 |
5327.00 |
|||
Jul-11 |
31.29 |
3.63% |
3.63% |
5310.40 |
-0.31% |
Aug-11 |
29.56 |
-5.54% |
5447.80 |
||
Sep-11 |
31.97 |
8.17% |
5316.00 |
||
Oct-11 |
30.76 |
-3.80% |
5151.80 |
||
Nov-11 |
31.94 |
3.84% |
4947.90 |
||
Dec-11 |
32.88 |
2.93% |
5056.60 |
||
Jan-12 |
33.40 |
1.60% |
5344.60 |
||
Feb-12 |
33.85 |
1.36% |
5218.20 |
||
Mar-12 |
35.12 |
3.73% |
5288.60 |
||
Apr-12 |
33.38 |
-4.95% |
5058.60 |
||
May-12 |
35.88 |
7.49% |
5222.10 |
||
Jun-12 |
38.87 |
8.34% |
5681.70 |
||
Jul-12 |
38.91 |
0.09% |
0.09% |
5451.20 |
-4.06% |
Aug-12 |
39.64 |
1.88% |
5774.90 |
||
Sep-12 |
41.05 |
3.55% |
5773.70 |
||
Oct-12 |
42.43 |
3.36% |
5861.90 |
||
Nov-12 |
44.20 |
4.17% |
5898.50 |
||
Dec-12 |
45.81 |
3.65% |
5551.60 |
||
Jan-13 |
49.56 |
8.18% |
5388.60 |
||
Feb-13 |
50.10 |
1.10% |
5298.10 |
||
Mar-13 |
54.11 |
8.00% |
5505.00 |
||
Apr-13 |
49.25 |
-8.97% |
5296.80 |
||
May-13 |
50.96 |
3.47% |
5624.60 |
||
Jun-13 |
54.67 |
7.27% |
5623.10 |
||
Jul-13 |
55.85 |
2.16% |
2.16% |
5382.00 |
-4.29% |
Aug-13 |
54.60 |
-2.24% |
5473.80 |
||
Sep-13 |
58.33 |
6.84% |
5470.80 |
||
Oct-13 |
59.67 |
2.29% |
5403.00 |
||
Nov-13 |
59.65 |
-0.03% |
5415.40 |
||
Dec-13 |
56.91 |
-4.59% |
5205.10 |
||
Jan-14 |
59.30 |
4.18% |
5353.10 |
||
Feb-14 |
61.50 |
3.72% |
5314.30 |
||
Mar-14 |
62.66 |
1.89% |
5420.30 |
||
Apr-14 |
64.80 |
3.41% |
5217.70 |
||
May-14 |
64.24 |
-0.87% |
5125.30 |
||
Jun-14 |
66.51 |
3.55% |
5035.70 |
||
Jul-14 |
67.17 |
0.98% |
0.98% |
4775.40 |
-5.17% |
Aug-14 |
62.19 |
-7.42% |
4914.00 |
||
Sep-14 |
66.47 |
6.89% |
5168.60 |
||
Oct-14 |
66.67 |
0.30% |
4979.90 |
||
Nov-14 |
70.75 |
6.11% |
5120.40 |
||
Dec-14 |
73.78 |
4.30% |
4901.00 |
||
Jan-15 |
78.31 |
6.13% |
4664.60 |
||
Feb-15 |
79.57 |
1.61% |
4518.00 |
||
Mar-15 |
75.71 |
-4.85% |
4535.40 |
||
Apr-15 |
72.49 |
-4.25% |
4406.30 |
||
May-15 |
72.52 |
0.05% |
4339.00 |
||
Jun-15 |
74.59 |
2.85% |
4289.40 |
||
Jul-15 |
66.92 |
-10.29% |
-10.29% |
4135.50 |
-3.59% |
Aug-15 |
64.82 |
-3.14% |
4133.70 |
||
Sep-15 |
68.39 |
5.51% |
4467.20 |
||
Oct-15 |
70.80 |
3.52% |
4420.00 |
||
Nov-15 |
76.23 |
7.68% |
4388.10 |
||
Dec-15 |
70.12 |
-8.02% |
4325.70 |
||
Jan-16 |
64.99 |
-7.31% |
4111.00 |
||
Feb-16 |
69.42 |
6.81% |
4184.70 |
||
Mar-16 |
68.46 |
-1.37% |
4360.50 |
||
Apr-16 |
71.74 |
4.79% |
4070.10 |
||
May-16 |
68.91 |
-3.95% |
4369.90 |
||
Jun-16 |
68.41 |
-0.73% |
4500.50 |
||
Average Yearly Return |
-0.69% |
-3.48% |
|||
Total Risk Associated (SD) |
4.76% |
3.70% |
|||
Systematic Risk of CBA |
0.26507622 |
||||
Unsystematic Risk of CBA |
0.73492378 |
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