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November 26-27, 2015

Learn about capital budgeting decisions and how the time value of money affects investment analysis. Explore examples of simple return and payback methods.

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November 26-27, 2015

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  1. November 26-27, 2015 Capital Budgeting Decisions

  2. Capital Budgeting Time Value of Money Decision Making – Example Simple Return and Payback Methods Today’s Agenda

  3. Plant expansion Equipment replacement Equipment selection Lease or buy Cost reduction Typical Capital Budgeting Decisions • Capital budgeting analysis is used to decide when to invest in capital (typically hard assets). • Investment is tested against return requirements, or alternative investments

  4. Typical Capital Budgeting Decisions • Capital budgeting tends to fall into two broad categories. • Screening decisions. Does a proposed project meet some preset standard of acceptance? • Preference decisions. Selecting from among several competing courses of action.

  5. Time Value of Money A dollar today is worth more than a dollar a year from now. Therefore, projects that promise earlier returns are preferable to those that promise later returns.

  6. Time Value of Money • Analysis of whether to invest capital requires the expectation of long term returns • Therefore we need to identify the cash flows associated with the investment over years • Time Value of Money methodologies are required to • Compare one investment against an alternative • See if an investment meets return requirements

  7. Time Value of Money • Time Value of Money • Money now is worth more than money in the future • How much more is determined by the discount rate • Discounted Cash Flows • The stating of cash inflows and outflows over time and discounted to a given point in time • Internal Rate of Return (IRR) • The discount rate that results from discounting the cash flows • Net Present Value (NPV) • Yields an absolute value after DCF of cash flows at a discount rate

  8. Time Value of Money • Note: Focus is on Cash Flows, not accounting income. Why? • Accounting Net Income is based on accruals • Accruals ignore the timing of cash flows into and out of an organization • Examples? • Accounts Receivable – recognized as income, but cash not yet received • Payroll Payable – expensed on income statement, but cash not yet paid to employees

  9. The Net Present Value Method To determine net present value we . . . • Calculate the present value of cash inflows, • Calculate the present value of cash outflows, • Subtract the present value of the outflows from the present value of the inflows.

  10. Typical Cash Flows • Inflows • Incremental revenue • Cash from disposal of assets • Reductions in working capital • Incremental cost reduction • Outflows • Initial and on-going capital investment • Incremental operating costs • Increases in working capital

  11. The Net Present Value Method • The outcome is dependent upon the selected Discount Rate

  12. The cost of capital is the average rate of return the company must pay to its long-term creditors and stockholders for the use of their funds. The firm’s cost of capital is usually regarded as the minimum required rate of return. Choosing a Discount Rate

  13. Two Simplifying Assumptions • Two simplifying assumptions are usually made in net present value analysis: • More complex models can be built; eg, periods can be shrunk to quarterly, monthly, etc. to increase accuracy. All cash flows other than the initial investment occur at the end of periods. All cash flows generated by an investment project are immediately reinvested at a rate of return equal to the discount rate.

  14. Net Present Value Method The net present value of one project cannot be directly comparedto the net present value of another project unless the investments are equal.

  15. Preference Decision – The Ranking of Investment Projects Screening Decisions Preference Decisions Pertain to whether or not some proposed investment is acceptable; these decisions come first. Attempt to rank acceptable alternatives from the most to least appealing.

  16. NPV - Example • Capital Budget Decision - • Should May Company buy new or refurbish old jet fleet • New jets cost $30m, training will cost $2m, but they only require $1m/yr to maintain and $4m/yr to operate. Also, May can charge $3m/yr extra to customers • Refurbishing the old fleet would cost $10m, but maintenance would still be $3m/yr and operating costs $5m/yr • At the end of 5 years, the new jets would be worth $10m and the refurbished jets, $2m • What should May Co do?

  17. NPV - Example

  18. NPV – Evaluation of Alternatives Approach

  19. Profitability Net present value of the project index Investment required = Ranking Investment Projects The higher the profitability index, the more desirable the project. Therefore, investment B is more desirable than investment A. • Another name for Return on Investment (ROI)

  20. IRR Test – Evaluation of Alternatives

  21. Decision Time • What should May Co do? • NPV’s are not comparable if investments are not equivalent • All other factors being equal (including investment amount), May Co might refurbish the old planes • Achieves maximum profitability • However, all other factors are never equal • Potentially, market value may be maximized by employing more capital at 78% IRR than less at 127%

  22. Decision Time • The ultimate decision requires knowledge of the following: • Is capital constrained? Can the company actually raise further capital at 20%? • What other alternative investments can the company deploy capital into, and at what rate of return. • If the company has the money, and the second best IRR is below 78%, then profit is maximized by making the new investment.

  23. Net Present Value Method The net present value of one project cannot be directly comparedto the net present value of another project unless the investments are equal.

  24. Does not focus on cash flows -- rather it focuses on accounting net operating income. The following formula is used to calculate the simple rate of return: Annual IncrementalNet Operating Income Simple rate of return = Initial investment* Simple Rate of Return Method *Should be reduced by any salvage from the sale of the old equipment

  25. The payback period is the length of time that it takes for a project to recover its initial cost out of the cash receipts that it generates. When the net annual cash inflow is the same each year, this formula can be used to compute the payback period: Investment required Net annual cash inflow Payback period = The Payback Method

  26. Postaudit of Investment Projects A postaudit is a follow-up after the project has been completed to see whether or not expected results were actually realized.

  27. Tutorial • Assignment • Review Build versus Buy Decisions • Study Review Problems • Interim Progress Reports on Group Projects • Tutorial session on Group Projects • Bring laptops and financial statements

  28. The Mathematics of Interest Assume a bank pays 8% interest on a $100 deposit made today. How much will the $100 be worth in one year? Fn = P(1 + r)n

  29. The Mathematics of Interest Assume a bank pays 8% interest on a $100 deposit made today. How much will the $100 be worth in one year? Fn = P(1 + r)n F1 = $100(1 + .08)1 F1 = $108.00

  30. Compound Interest What if the $108 was left in the bank for a second year? How much would the original $100 be worth at the end of the second year? Fn = P(1 + r)n

  31. The interest that is paid in the second year on the interest earned in the first year is known ascompound interest. Compound Interest F2 = $100(1 + .08)2 F2 = $116.64

  32. Computation of Present Value An investment can be viewed in two ways—its future value or its present value. Present Value Future Value Let’s look at a situation where the future value is known and the present value is the unknown.

  33. If a bond will pay $100 in two years, what is the present value of the $100 if an investor can earn a return of 12% on investments? Fn P = (1 + r)n Present Value

  34. This process is called discounting. We have discounted the $100 to its present value of $79.72. The interest rate used to find the present value is called the discount rate. Present Value $100 P = (1 + .12)2 $79.72 P =

  35. Let’s verify that if we put $79.72 in the bank today at 12% interest that it would grow to $100 at the end of two years. Present Value If $79.72 is put in the bank today and earns 12%, it will be worth $100 in two years.

  36. Present value factor of $1 for 2 periods at 12%. Present Value – An Example $100 × 0.797 = $79.72 present value (rounded)

  37. How much would you have to put in the bank today to have $100 at the end of five years if the interest rate is 10%? a. $62.10 b. $56.70 c. $90.90 d. $51.90 Quick Check 

  38. Quick Check  How much would you have to put in the bank today to have $100 at the end of five years if the interest rate is 10%? a. $62.10 b. $56.70 c. $90.90 d. $51.90 $100  0.621 = $62.10

  39. An investment that involves a series of identical cash flows at the end of each year is called an annuity. $100 $100 $100 $100 $100 $100 1 2 3 4 5 6 Present Value of a Series of Cash Flows

  40. Lacey Inc. purchased a tract of land on which a $60,000 payment will be due each year for the next five years. What is the present value of this stream of cash payments when the discount rate is 12%? Present Value of a Series of Cash Flows

  41. We could solve the problem like this . . . Present Value of a Series of Cash Flows $60,000 × 3.605 = $216,300

  42. If the interest rate is 14%, how much would you have to put in the bank today so as to be able to withdraw $100 at the end of each of the next five years? a. $34.33 b. $500.00 c. $343.30 d. $360.50 Quick Check 

  43. Quick Check  If the interest rate is 14%, how much would you have to put in the bank today so as to be able to withdraw $100 at the end of each of the next five years? a. $34.33 b. $500.00 c. $343.30 d. $360.50 $100  3.433 = $343.30

  44. If the interest rate is 14%, what is the present value of $100 to be received at the end of the 3rd, 4th, and 5th years? a. $866.90 b. $178.60 c. $ 86.90 d. $300.00 Quick Check 

  45. Quick Check  If the interest rate is 14%, what is the present value of $100 to be received at the end of the 3rd, 4th, and 5th years? a. $866.90 b. $178.60 c. $ 86.90 d. $300.00 $100  (3.433 - 1.647) = $100  1.786 = $178.60 or $100  (0.675 + 0.592 + 0.519) = $100  1.786 = $178.60

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