While
determining the free cash flow for investment analysis, investors need to keep
in mind some important information and considerations such as the growing trend
of sales revenue during the last few years. Moreover, investors should also understand
the key drivers of free cash flow such as EBITDA margins and cash tax rates
(usually stated in the notes of income statements or cash flow statements).
Moreover, investors should also consider the capital expenditure and working
capital of the company during the last few years. A projection of expenses such
as marketing and administration expenses also provide a clear idea to the
investors in the investment analysis (Corporatefinanceinstitute.com, 2020).
Question: 2
Calculate the weighted average cost of capital (WACC) for
Diamond Energy Resources. How does the capital structure of a firm/project
affect the WACC?
The
following table represents the calculated weighted average cost of capital for
Diamond Energy Resources.
Weighted
Average Cost of Capital
|
Cost
of Equity
|
Weight
of Equity
|
|
Riskfree rate
|
7.5%
|
|
Market
Capitalization (E)
|
20500000
|
|
Beta
|
1.4
|
|
Weight of equity
|
0.63076923
|
|
Market Premium
|
9%
|
|
|
|
|
Cost of Equity
|
19.82%
|
|
|
|
Cost
of Debt
|
Weight
of Debt
|
|
Interest Expense
|
1680000
|
|
Book value of Debt
|
12000000
|
|
Tax Rate
|
25%
|
|
Weight of Debt
|
0.36923077
|
|
Cost of Debt
|
14.00%
|
|
|
|
WACC
|
16.38%
|
|
|
|
According to this table, the
calculated weight for debt and equity are 0.3692 and 0.6307 respectively.
However, the cost of debt and cost of equity is 14% and 19.82% (in the same
order). Thus, based on these calculations the total weighted average cost of capital
is 16.38% for the company.
The capital structure of a firm or
company can directly draw impact on its weightage average cost of capital. For
instance, an increase in debt will increase the cost of debt. As a result of
this, the overall weightage average cost of capital (WACC) will also increase. However,
change in the cost of equity will also generate changes in the overall
weightage average cost of capital when it increases or decreases in the capital
structure of a firm. Usually, equity financing increases weightage average cost
of capital as the cost of equity is supposed to be greater than the cost of
debt in the firms.
Question: 3
Produce a projected capital budgeting free cash flow
statement for the new mine that PT Diamond Energy Resources Indonesia is
assessing for acquisition. Using this information, calculate the Payback,
discounted payback, NPV, IRR and Profitability Index (PI) of the project.
The following table represents the capital budgeting free
cash flow statement for the company over the next 12 years (from 2015 to 2026).
In this table, the free cash flow (annual) is calculated by the use of
projected information in the case study about earning before interest and
income taxes, depreciation expenses, and change in the networking capital of
the company.
FREE CASH FLOWS (thousands)
|
|
|
|
Cash Flow Projection
|
|
|
2015
|
2016
|
2017
|
2018
|
2019
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2026
|
Earning Before Interest and Taxes
|
$ -
|
$ -
|
$ 8,363.00
|
$ 11,309.00
|
$ 9,862.00
|
$ 8,343.00
|
$ 6,748.00
|
$ 13,722.00
|
$ 11,964.00
|
$ 10,117.00
|
$ 8,178.00
|
$ 6,142.00
|
Depreciation Expense
|
|
$ -
|
$ -
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
$ (3,000.00)
|
Change in NWC
|
|
$ -
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
$ (2,500.00)
|
|
Capital Expenditures
|
|
$ 15,000.00
|
$ 15,000.00
|
|
|
|
|
|
|
|
|
|
|
Interest Exp
|
|
$ -
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
$ 1,680.00
|
|
Change in Debt
|
|
$ 12,000.00
|
|
|
|
|
|
|
|
|
|
|
|
Free Cash Flow [from Case]
|
|
$(15,000.00)
|
$(12,500.00)
|
$ 5,772.25
|
$ 7,981.75
|
$ 6,896.50
|
$ 5,757.25
|
$ 4,561.00
|
$ 9,791.50
|
$ 8,473.00
|
$ 7,087.75
|
$ 5,633.50
|
$ 1,606.50
|
Tax Rate
|
|
0.25
|
|
|
|
|
|
|
|
|
|
|
|
Interest Rate
|
|
14.00%
|
|
|
|
|
|
|
|
|
|
|
|
EBIT (@7% Royalty)
|
|
0.00
|
0.00
|
11,287.00
|
14,559.00
|
13,112.00
|
11,593.00
|
9,998.00
|
17,622.00
|
15,864.00
|
14,017.00
|
12,078.00
|
10,042.00
|
FCF (@7% Royalty)
|
|
$(15,000.00)
|
-12500
|
7965.25
|
10419.25
|
9334
|
8194.75
|
6998.5
|
12716.5
|
11398
|
10012.75
|
8558.5
|
4531.5
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
However,
PT Diamond Energy Resources Indonesia is going to acquire the equity shares of
the new mine, therefore, royalty calculation is also essential while
determining and projecting free cash flow for the firm over next 12 year
duration. The calculation of free cash flow for the firm over the selected
duration we have also calculated earning before interest and taxes (EBIT) and
FCF (free cash flow) with the 7% royalty target. The following table will
represent the weightage average cost of capital for the firm by the use of
information stated in the case study. The WACC is calculated by considering the
following information.
1)
Cost
of debt
2)
Cost
of equity
3)
Weight for equity and debt
4)
Taxes
Now the calculated
answer is 16.38%.
WACC for Case
|
Debt, D
|
$ 12,000,000.00
|
Equity, E
|
$ 20,500,000.00
|
Tax, T
|
25.00%
|
Rd
|
0.14
|
Re
|
0.1982
|
WACC
|
16.38%
|
Based on the shared information in the case study, the payback period
and discounted payback period are also calculated for the company. The following table represents the payback period.
Payback Period
|
Year
|
Cash Flow
|
Cumulative Cash flow
|
2015
|
$(15,000.00)
|
$ (15,000.00)
|
2016
|
$(12,500.00)
|
$ (27,500.00)
|
2017
|
$ 5,772.25
|
$ (21,727.75)
|
2018
|
$ 7,981.75
|
$ (13,746.00)
|
2019
|
$ 6,896.50
|
$ (6,849.50)
|
2020
|
$ 5,757.25
|
$ (1,092.25)
|
2021
|
$ 4,561.00
|
$ 3,468.75
|
2022
|
$ 9,791.50
|
$ 13,260.25
|
2023
|
$ 8,473.00
|
$ 21,733.25
|
2024
|
$ 7,087.75
|
$ 28,821.00
|
2025
|
$ 5,633.50
|
$ 34,454.50
|
2026
|
$ 1,606.50
|
$ 36,061.00
|
Payback Period
|
6.5 Year
|
|
According to the above stated
table, company would be able to cover the whole initial investment in 6.5 years
(if no changes are made in the cumulative cashflow for each year). Payback
period has some limitations as it does not count for the time value therefore
another similar evaluation method “discounted payback period” is also
calculated for the company. See the following table for discounted payback
period.
Discounted Payback Period
|
Year
|
Cash Flow
|
Discount Factor
|
Discounted Cashflow
|
Cumulative Cash flow
|
2015
|
$ (15,000.00)
|
1.00
|
$ (15,000.00)
|
$ (15,000.00)
|
2016
|
$ (12,500.00)
|
0.91
|
$ (11,363.64)
|
$ (26,363.64)
|
2017
|
$ 5,772.25
|
0.83
|
$ 4,770.45
|
$ (21,593.18)
|
2018
|
$ 7,981.75
|
0.75
|
$ 5,996.81
|
$ (15,596.37)
|
2019
|
$ 6,896.50
|
0.68
|
$ 4,710.40
|
$ (10,885.97)
|
2020
|
$ 5,757.25
|
0.62
|
$ 3,574.80
|
$ (7,311.17)
|
2021
|
$ 4,561.00
|
0.56
|
$ 2,574.57
|
$ (4,736.61)
|
2022
|
$ 9,791.50
|
0.51
|
$ 5,024.59
|
$ 287.98
|
2023
|
$ 8,473.00
|
0.47
|
$ 3,952.72
|
$ 4,240.70
|
2024
|
$ 7,087.75
|
0.42
|
$ 3,005.90
|
$ 7,246.59
|
2025
|
$ 5,633.50
|
0.39
|
$ 2,171.96
|
$ 9,418.55
|
2026
|
$ 1,606.50
|
0.35
|
$ 563.07
|
$ 9,981.62
|
Discounted Payback Period
|
7 Years
|
|
|
The
above table represents that at the discount rate of 10% annually the company
would be able to cover all its initial investment in 7 years duration. Somehow,
the case NPV and IRR are 1130 and 17% respectively. The NPV is calculated based
on 16.38 WACC. [check excel for further calculation work]
Profitability Index
|
Year
|
Cash Flow
|
Discount Factor
|
Discounted Cashflow
|
2015
|
$ (15,000.00)
|
1.00
|
$ (15,000.00)
|
2016
|
$ (12,500.00)
|
0.91
|
$ (11,363.64)
|
2017
|
$ 5,772.25
|
0.83
|
$ 4,770.45
|
2018
|
$ 7,981.75
|
0.75
|
$ 5,996.81
|
2019
|
$ 6,896.50
|
0.68
|
$ 4,710.40
|
2020
|
$ 5,757.25
|
0.62
|
$ 3,574.80
|
2021
|
$ 4,561.00
|
0.56
|
$ 2,574.57
|
2022
|
$ 9,791.50
|
0.51
|
$ 5,024.59
|
2023
|
$ 8,473.00
|
0.47
|
$ 3,952.72
|
2024
|
$ 7,087.75
|
0.42
|
$ 3,005.90
|
2025
|
$ 5,633.50
|
0.39
|
$ 2,171.96
|
2026
|
$ 1,606.50
|
0.35
|
$ 563.07
|
|
|
|
$ 36,345.26
|
Profitability Index (PI)
|
-2.42301719
|
|
The
profitability index is calculated using the following formula:
Thus,
profitability index is -2.423.
Question:
4
Sensitivity analysis improves the quality of decision-making
in a world of uncertainty. Choose variable(s) which you think is (are) most
appropriate to perform sensitivity analysis on. Then, using several scenarios
(based on the information provided in the case study and your choice of variables)
perform sensitivity analysis. How are payback, discounted payback, NPV, IRR and
PI affected by your sensitivity analysis?
The
sensitivity analysis is important for the evaluation of a decision against
different factors which can probably generate an impact on the outcomes of the
decision. In this case, the royalty percentage is taken as a factor to test the
sensitivity of the project. Following tables are representing the sensitivity
of scenario 1 and scenario 2 against the royalty percentage 7 and 13.50.
|
Royalties (@13.50% Royalty)
|
|
Case
|
Scenario 1
|
Scenario 2
|
WACC
|
16.38%
|
10.50%
|
11.22%
|
NPV
|
$1,130.05
|
$9,133.22
|
$7,969.49
|
IRR
|
17%
|
17%
|
17%
|
|
Royalties (@7% Royalty)
|
|
Case
|
Scenario 1
|
Scenario 2
|
WACC
|
16.38%
|
10.50%
|
11.22%
|
NPV
|
$11,568.20
|
$23,203.18
|
$21,509.36
|
IRR
|
26%
|
26%
|
26%
|
According to the
above-stated tables the WACC, IRR and NPV are changed for both scenarios as
values are changed.
Impact on IRR
At 7% royalty,
scenario 1 and 2 were projecting Internal rate of return (IRR) as 26%. This
value is decreased to 17% as we changed royalty value from 7% to 13.50%. a
higher internal rate of return is not supportive of the decision as a suitable
value for IRR is between 12-15. The following table of WACC is used to
calculate WACC for the calculation of sensitivity.
WACC FOR SCENARIOS
|
Scenario 1
|
Scenario 2
|
Debt, D
|
$ 32,500,000.00
|
Debt, D
|
$ 30,000,000.00
|
Equity, E
|
0
|
Equity, E
|
2500000
|
Tax, T
|
0.25
|
Tax, T
|
0.25
|
Rd
|
0.14
|
Rd
|
0.14
|
Re
|
0.1982
|
Re
|
0.1982
|
|
|
|
|
WACC
|
10.50%
|
WACC
|
11.22%
|
Conclusively, based on
all calculations and shared information in the case study it can be said that different
variables will contribute to bringing changes in the value of total return from
the decision.
Impact on Payback and
Discounted Payback Period:
Discounted Payback Period [Scenario 1]
|
Year
|
2015
|
2016
|
2017
|
2018
|
2019
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2026
|
Cash Flow
|
-15000
|
-12500
|
4303
|
5995
|
5164
|
4292
|
3376
|
7381
|
6372
|
5311
|
4197
|
528
|
Discount Factor
|
1.00
|
0.91
|
0.83
|
0.75
|
0.68
|
0.62
|
0.56
|
0.51
|
0.47
|
0.42
|
0.39
|
0.35
|
Discounted Cash flow
|
-15000
|
-11364
|
3557
|
4504
|
3527
|
2665
|
1906
|
3788
|
2972
|
2252
|
1618
|
185
|
Cumulative Cash Flow
|
-15000
|
-26364
|
-22807
|
-18303
|
-14775
|
-12110
|
-10205
|
-6417
|
-3444
|
-1192
|
426
|
611
|
Discounted Pay back Period
|
10
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Discounted Payback Period [Scenario 2]
|
Year
|
2015
|
2016
|
2017
|
2018
|
2019
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2026
|
Cash Flow
|
-15000
|
-12500
|
4443
|
6184
|
5329
|
4431
|
3489
|
7611
|
6572
|
5480
|
4334
|
630
|
Discount Factor
|
1.00
|
0.91
|
0.83
|
0.75
|
0.68
|
0.62
|
0.56
|
0.51
|
0.47
|
0.42
|
0.39
|
0.35
|
Discounted Cash flow
|
-15000
|
-11364
|
3672
|
4646
|
3640
|
2751
|
1969
|
3905
|
3066
|
2324
|
1671
|
221
|
Cumulative Cash Flow
|
-15000
|
-26364
|
-22692
|
-18045
|
-14405
|
-11654
|
-9685
|
-5779
|
-2713
|
-389
|
1281
|
1502
|
Discounted Pay back Period
|
10
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Discounted Payback Period [Scenario 1
@7% royalties]
|
Year
|
2015
|
2016
|
2017
|
2018
|
2019
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2026
|
Cash Flow
|
-15000
|
-12500
|
4264
|
5645
|
5034
|
4393
|
3720
|
6938
|
6196
|
5416
|
4598
|
1239
|
Discount Factor
|
1.00
|
0.91
|
0.83
|
0.75
|
0.68
|
0.62
|
0.56
|
0.51
|
0.47
|
0.42
|
0.39
|
0.35
|
Discounted Cash flow
|
-15000
|
-11364
|
3524
|
4241
|
3439
|
2728
|
2100
|
3560
|
2890
|
2297
|
1773
|
434
|
Cumulative Cash Flow
|
-15000
|
-26364
|
-22840
|
-18598
|
-15160
|
-12432
|
-10332
|
-6772
|
-3881
|
-1584
|
189
|
623
|
Discounted Pay back Period
|
10
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Discounted Payback Period [Scenario 2
@7% royalties]
|
Year
|
2015
|
2016
|
2017
|
2018
|
2019
|
2020
|
2021
|
2022
|
2023
|
2024
|
2025
|
2026
|
Cash Flow
|
-15000
|
-12500
|
4405
|
5827
|
5199
|
4538
|
3845
|
7159
|
6395
|
5592
|
4749
|
1364
|
Discount Factor
|
1.00
|
0.91
|
0.83
|
0.75
|
0.68
|
0.62
|
0.56
|
0.51
|
0.47
|
0.42
|
0.39
|
0.35
|
Discounted Cash flow
|
-15000
|
-11364
|
3641
|
4378
|
3551
|
2818
|
2171
|
3674
|
2983
|
2371
|
1831
|
478
|
Cumulative Cash Flow
|
-15000
|
-26364
|
-22723
|
-18345
|
-14794
|
-11976
|
-9805
|
-6132
|
-3149
|
-777
|
1054
|
1532
|
Discounted Pay back Period
|
10
|
|
|
|
|
|
|
|
|
|
|
|
For instance, the
analysis represents that changes in cashflow streams will also influence the
payback period and discounted payback period of the selected project. Changes
in the annual discounted cashflow (at the rate of 10%) will increase the
discounted payback period from 7 years to 10 years duration. Thus, it represent
that company would cover the initial expenses of an investment in relatively more
time. Thus, the payback period and discounted payback period (calculated for
the firm with shared case scenario) will be increased as net cash flow values
are changed on an annual basis.
Impact on
Profitability Index
See the following table of profitability
index. In this table, the value of profitability for each scenario are lower
than the calculated profitability index value for the case (see question 3).
Thus, it can be said that scenarios would have negative impact on profitability
index.
Profitability Index
|
Cumulative Discounted Cash Flow
|
Initial Investment
|
Profitability Index
|
[Scenario 1 @13.50% royalties
|
26975
|
-15000
|
-1.7983077
|
[Scenario 2 @13.50% royalties
|
27866
|
-15000
|
-1.857733549
|
[Scenario 1 @7% royalties
|
26987
|
-15000
|
-1.799102509
|
[Scenario 2 @7% royalties
|
27896
|
-15000
|
-1.859702127
|
Question: 5
Identify and discuss the benefits and risks of making the
investment (i.e. acquiring the mine).
The decision about acquiring
the mine will generate long term impact on the profitability and business
operations of the PT Diamond Energy Resources Indonesia. Some possible benefits
and risk factor regarding this investment decision are stated below:
Risk: PT Diamond Energy
Resources Indonesia will face issues with its liquidity condition if they
suddenly acquire the equity shares of new mine as it would require a huge
investment.
The inflation rates are already influencing the coal prices
in Australia therefore business in this country can be risky for the PT Diamond
Energy Resources Indonesia.
Benefits: Some expected benefits of the acquisition are enlisted below:
PT Diamond Energy Resources Indonesia will be able
to expand its business in the geographical segment.
1)
The inflation rate is decreasing in Indonesia
therefore the company would be able to expand its operations in the coming
future.
2)
The
export and production of mine products such as coal are continuously increasing
from 2007 to 2014. In 2004, production and export were limited to 217 and 163
only. While these values were increased up to 458 and 381 (for production and
export respectively). Thus, statistics represent that business operations are
almost doubled in Indonesia. A positive trend for export and other business
operations concerning mine represent expectation for future positive growth.
Question: 6
Based on your capital budgeting analysis, sensitivity
analysis and identification of benefits and risks of the project, would you
recommend to the CEO of PT Diamond Energy Resources Indonesia that he accepts
the project? Why or why not?
Based on the sensitivity analysis,
capital budgeting analysis, and identification of risk and benefits associated with
this acquisition decision I would recommend to CEP of PT Diamond Energy
Resources Indonesia to invest in the equity sector of the selected company.
They should accept this project as it would generate a new revenue stream for
the company. Moreover, in future, it would support them to expand the business
and have a contract with new clients (who were already the clients of this
company). In my opinion, a parent company can take double advantage from
subsidiary company by selling its products and using its reputation or business
relations in the market.