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Questions and Answers

What does NPV stand for and why is it important in corporate finance?

NPV stands for Net Present Value, and it is important because it helps assess the profitability of an investment by calculating the difference between the present value of cash inflows and outflows.

In the example provided, what was the NPV of Alpha Corporation's project that cost £100 and returns £107 in one year with a 6% discount rate?

The NPV of Alpha Corporation's project was £0.94.

What is the relationship between accounting profit and opportunity cost as demonstrated in the example?

The accounting profit was £7, while the profit considering opportunity cost was £0.97, indicating the impact of the time value of money on profits.

List two alternative investment evaluation methods mentioned in the lecture overview besides NPV.

<p>Two alternative investment evaluation methods are the Internal Rate of Return (IRR) and the Payback Period Method.</p> Signup and view all the answers

Explain the concept of 'Present Value' in the context of the NPV decision rule.

<p>Present Value refers to the current worth of future cash flows discounted at a specific rate, essential for evaluating an investment's net present value.</p> Signup and view all the answers

How is Net Present Value (NPV) calculated?

<p>NPV is calculated as the difference between the present value of benefits and the present value of costs, or NPV = PV(Benefits) - PV(Costs).</p> Signup and view all the answers

What does an NPV greater than zero indicate in investment decision-making?

<p>An NPV greater than zero indicates that the investment is acceptable and expected to generate more returns than costs.</p> Signup and view all the answers

Discuss one key strength of using NPV over other investment approaches.

<p>One key strength of NPV is that it uses all expected cash flows over the life of an investment, unlike other methods that may ignore cash flows beyond a certain date.</p> Signup and view all the answers

What is the Payback Period (PP) and how is it used in investment decisions?

<p>The Payback Period is the time it takes for cash flows to recover the initial investment, and it is used to accept projects with a payback period less than or equal to a specified cut-off time.</p> Signup and view all the answers

Calculate the payback period given an initial investment of -£5000 and accumulated cash flows of £5550 after 3 years.

<p>The payback period is 2.82 years.</p> Signup and view all the answers

Study Notes

Corporate Finance Fundamentals - Week 2

  • Topic: Net Present Value (NPV) and Other Investment Rules
  • Course: BSP050
  • Lecturer: Dr. Kai Hong Tee
  • University: Loughborough University
  • Office Hours: Tuesdays, 11 am to 1 pm. Email [email protected] to arrange a meeting time.
  • Last Week's Lecture Topics:
    • Introduction to Corporate Finance functions (Investment, financing, short-term decisions)
    • Accounting profit and cash flows
    • Opportunity costs and cash flows
    • Value of cash flows: Present and future values

Overview of Today's Lecture

  • Methods discussed:
    • Net Present Value (NPV)
    • Payback Period Method
    • Discounted Payback Period
    • Average Accounting Return (ARR) method
    • Internal Rate of Return (IRR)
    • Profitability Index (PI)

Net Present Value (NPV)

  • Definition: The difference between the present value of a project's benefits and costs.
  • Formula: NPV = PV(Benefits) - PV (Costs)
  • Investment Rule:
    • Accept if NPV > 0
    • Reject if NPV < 0

Example 6.1

  • Scenario: Alpha Corporation considering a riskless project.
    • Cost: £100
    • Future cash flow: £107 one year later
    • Discount rate: 6 percent
  • NPV Calculation: £.94 = -£100 + £107/1.06

Interpretation of Example 6.1

  • Accounting profit: £7 (£107 - £100)
  • Profit considering opportunity cost: £0.97 (reflecting positive NPV)

Payback Period (PP)

  • Definition: The time it takes for cash inflows to recover the initial investment.
  • Investment Rule: Accept if payback period is less than or equal to a specified cut-off time.

Discounted Payback Period

  • Definition: Similar to the payback period but uses discounted cash flows.
  • Investment Rule: Accept if discounted payback period is less than a specified cut-off time.

Average Accounting Return (ARR)

  • Formula: (Average accounting profit) / (Investment)
  • Investment Rule: Accept if ARR > target return.

Internal Rate of Return (IRR)

  • Definition: The discount rate that makes the NPV of a project equal to zero.
  • Investment Rule: Accept if IRR > discount rate; reject if IRR < discount rate.
  • Problems with IRR: IRR may not accurately assess mutually exclusive projects.

Profitability Index (PI)

  • Formula: PV of future cash flows / Initial investment
  • Investment Rule: Accept if PI > 1; reject if PI < 1

Other Important Definitions

  • Mutually Exclusive Projects: Projects where the acceptance of one automatically excludes the acceptance of others.

Problems with IRR

  • Multiple IRRs: Some projects can have multiple IRRs.
  • Scale Problem: IRR ignores project size.
  • Non-conventional cash flows: Projects with unconventional cash flow patterns can have multiple or no IRRs.
  • Choosing between investments: NPV is preferred when making decisions between mutually exclusive projects.

Incremental Analysis

  • Used to compare mutually-exclusive investments: Compares the extra cash flows for each choice to see which decision creates the greatest benefit.

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