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SRI KRISHNA COLLEGE OF TECHNOLOGY
SCHOOL OF MANAGEMENT
21PNE052– CORPORATE FINANCE
UNIT - III
Mr. SARAVANAN
Assistant Professor
MODULE -III
Appraisal of Risky Investments, Certainty equivalent of cash flows and risk adjusted
discount rate,
risk analysis in the context of DCF methods using probability information,
nature of cash flows,
Sensitivity analysis,
Simulation and investment decision,
Decision tree approach in investment decisions.
Corporate Governance – SEBI Guidelines –
Merger & Acquisitions – Takeover Code –
Disinvestment – Guidelines from SEBI
Techniques of Risk Analysis in
Capital Budgeting
Statistical
Techniques
1. Probability
2. Variance or Standard
Deviation
3. Coefficient of Variation
Conventional
Techniques
1. Risk-adjusted
discount rate
2. Certainty equivalents
Other techniques
1. Sensitivity
Analysis
2. Scenario
Analysis
 While discussing the capital budgeting techniques, we have
assumed that the investment proposals do not involve any risk
and cash flows of the project are known with certainty.
 This assumption was taken to simplify the understanding of the
capital budgeting techniques. However, in practice, this
assumption is not correct.
 Infact, investment projects are exposed to various degrees
of risk. There can be three types of decision making:
(i) Decision making under certainty: When cash flows are certain
(ii) Decision making involving risk: When cash flows involve risk and
probability can be assigned.
(iii) Decision making under uncertainty: When the cash flows are
uncertain and probability cannot be assigned.
Risk and Uncertainty
• Risk is the variability in terms of actual returns comparing with the
estimated returns.
• Most common techniques of risk measurement are Standard Deviation
and Coefficient of variations.
• There is a thin difference between risk and uncertainty.
• In case of risk, probability distribution of cash flow is known.
• When no information is known to formulate probability distribution of
cash flows, the situation is referred as uncertainty.
• However, these two terms are used interchangeably.
SOURCES OF RISK
• Risk arises from different sources, depending on the type of
investment being considered, as well as the circumstances and the
industry in which the organization is operating.
•Market risk
•Company
specific risk
•Project-
specific risk
Competition
risk
Risk due to
Economic
conditions
Industry-
specific risk
International
risk
TECHNIQUES OF RISK ANALYSIS IN
CAPITAL BUDGETING
STATISTICAL TECHNIQUES
Probability
• Meaning: Probability is a measure about the chances that an event will
occur. When an event is certain to occur, probability will be 1 and when
there is no chance of happening an event probability will be 0.
• In the above example chances that cash flow will be 3,00,000, 2,00,00
and 1,00,00 are 30%,60% and 10% respectively.
Assumption Cash Flows (`) Probability
Best guess 3,00,000 0.3
High guess 2,00,000 0.6
Low guess 1,20,000 0.1
(i) Expected Net Cash Flows
• Expected Cash flows are calculated as the sum of the likely Cash flows of the Project multiplied by the
probability of cash flows. Expected Cash flows are calculated as below:
Where,
• E (R)/ENCF = Expected Cash flows
• Pi = Probability of Cash flow
• NCFi = Cash flows
Assumption (1) Cash Flows (2) Probability (3) Expected cash flow (2×3)
Best guess 3,00,000 0.3 3,00,000×0.3 = 90,000
High guess 2,00,000 0.6 2,00,000×0.6 =1,20,000
Low guess 1,20,000 0.1 1,20,000×0.1 =12,000
Expected Net cash flow (ENCF) 2,22,000
Expected Net Present value
Possible Event Project A Project B
Cash Flow (rs) Probability Cash Flow (rs) Probability
A 8,000 0.10 24,000 0.10
B 10,000 0.20 20,000 0.15
C 12,000 0.40 16,000 0.50
D 14,000 0.20 12,000 0.15
E 16,000 0.10 8 ,000 0.10
Project A Project B
Possible
Event
Net Cash Flow
(Rs)
Probability Expected
Value
(Rs)
Cash Flow
(Rs)
Probability Expected Value
(Rs)
A 8,000 0.10 800 24,000 0.10 2,400
B 10,000 0.20 2,000 20,000 0.15 3,000
C 12,000 0.40 4,800 16,000 0.50 8,000
D 14,000 0.20 2,800 12,000 0.15 1,800
E 16,000 0.10 1,600 8,000 0.10 800
ENCF 12,000 16,000
The net present value for Project A is (0.909 × 12,000 – 10,000) = ` 908
The net present value for Project B is (0.909 × 16,000 –10,000) = ` 4,544

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MODULE - III CF.ppt

  • 1. SRI KRISHNA COLLEGE OF TECHNOLOGY SCHOOL OF MANAGEMENT 21PNE052– CORPORATE FINANCE UNIT - III Mr. SARAVANAN Assistant Professor
  • 2. MODULE -III Appraisal of Risky Investments, Certainty equivalent of cash flows and risk adjusted discount rate, risk analysis in the context of DCF methods using probability information, nature of cash flows, Sensitivity analysis, Simulation and investment decision, Decision tree approach in investment decisions. Corporate Governance – SEBI Guidelines – Merger & Acquisitions – Takeover Code – Disinvestment – Guidelines from SEBI
  • 3. Techniques of Risk Analysis in Capital Budgeting Statistical Techniques 1. Probability 2. Variance or Standard Deviation 3. Coefficient of Variation Conventional Techniques 1. Risk-adjusted discount rate 2. Certainty equivalents Other techniques 1. Sensitivity Analysis 2. Scenario Analysis
  • 4.  While discussing the capital budgeting techniques, we have assumed that the investment proposals do not involve any risk and cash flows of the project are known with certainty.  This assumption was taken to simplify the understanding of the capital budgeting techniques. However, in practice, this assumption is not correct.  Infact, investment projects are exposed to various degrees of risk. There can be three types of decision making: (i) Decision making under certainty: When cash flows are certain (ii) Decision making involving risk: When cash flows involve risk and probability can be assigned. (iii) Decision making under uncertainty: When the cash flows are uncertain and probability cannot be assigned.
  • 5. Risk and Uncertainty • Risk is the variability in terms of actual returns comparing with the estimated returns. • Most common techniques of risk measurement are Standard Deviation and Coefficient of variations. • There is a thin difference between risk and uncertainty. • In case of risk, probability distribution of cash flow is known. • When no information is known to formulate probability distribution of cash flows, the situation is referred as uncertainty. • However, these two terms are used interchangeably.
  • 6. SOURCES OF RISK • Risk arises from different sources, depending on the type of investment being considered, as well as the circumstances and the industry in which the organization is operating. •Market risk •Company specific risk •Project- specific risk Competition risk Risk due to Economic conditions Industry- specific risk International risk
  • 7. TECHNIQUES OF RISK ANALYSIS IN CAPITAL BUDGETING
  • 8. STATISTICAL TECHNIQUES Probability • Meaning: Probability is a measure about the chances that an event will occur. When an event is certain to occur, probability will be 1 and when there is no chance of happening an event probability will be 0. • In the above example chances that cash flow will be 3,00,000, 2,00,00 and 1,00,00 are 30%,60% and 10% respectively. Assumption Cash Flows (`) Probability Best guess 3,00,000 0.3 High guess 2,00,000 0.6 Low guess 1,20,000 0.1
  • 9. (i) Expected Net Cash Flows • Expected Cash flows are calculated as the sum of the likely Cash flows of the Project multiplied by the probability of cash flows. Expected Cash flows are calculated as below: Where, • E (R)/ENCF = Expected Cash flows • Pi = Probability of Cash flow • NCFi = Cash flows
  • 10. Assumption (1) Cash Flows (2) Probability (3) Expected cash flow (2×3) Best guess 3,00,000 0.3 3,00,000×0.3 = 90,000 High guess 2,00,000 0.6 2,00,000×0.6 =1,20,000 Low guess 1,20,000 0.1 1,20,000×0.1 =12,000 Expected Net cash flow (ENCF) 2,22,000
  • 12. Possible Event Project A Project B Cash Flow (rs) Probability Cash Flow (rs) Probability A 8,000 0.10 24,000 0.10 B 10,000 0.20 20,000 0.15 C 12,000 0.40 16,000 0.50 D 14,000 0.20 12,000 0.15 E 16,000 0.10 8 ,000 0.10
  • 13. Project A Project B Possible Event Net Cash Flow (Rs) Probability Expected Value (Rs) Cash Flow (Rs) Probability Expected Value (Rs) A 8,000 0.10 800 24,000 0.10 2,400 B 10,000 0.20 2,000 20,000 0.15 3,000 C 12,000 0.40 4,800 16,000 0.50 8,000 D 14,000 0.20 2,800 12,000 0.15 1,800 E 16,000 0.10 1,600 8,000 0.10 800 ENCF 12,000 16,000 The net present value for Project A is (0.909 × 12,000 – 10,000) = ` 908 The net present value for Project B is (0.909 × 16,000 –10,000) = ` 4,544