Capital Investment Analysis

1. 10 Capital Investment Analysis

2. 0 10-1 Objective 1 Explain the nature and importance of capital investment analysis.

3. 0 10-1 Capital Investment Analysis Capital investment analysis (or capital budgeting) is the process by which management plans, evaluates, and controls investments in fixed assets.

4. 0 10-2 Objective 2 Evaluate capital investment proposals, using the following methods: average rate of return, cash payback, net present value, and internal rate of return.

5. 0 10-2 Methods of Evaluating Capital Investment Proposals Methods that ignore present values: • The average rate of return method • The cash payback method Methods that use present values: • The net present value method • The internal rate of return method

6. 0 10-2 Percentage of Respondents Reporting the Use of the Method as “Always” or “Often” Average rate of return Cash payback method Net present value method Internal rate of return method 15% 53% 85% 76% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 9 Source: Patricia A. Ryan and Glenn P. Ryan. “Capital Budgeting Practices of the Fortune 1,000. How Have Things Changed? Journal of Business and Management (Winter 2002).

7. Easy to calculate Considers accounting income (often used to evaluate managers) 0 10-2 Average Rate of Return Method Advantages: Disadvantages: • Ignores cash flows • Ignores the time value of money

8. Machine cost $500,000 Expected useful life 4 years Residual value none Expected total income $200,000 Estimated Average Annual Income Average rate of return = Average Investment Average rate of return $200,000/4 = ($500,000 + $0)/2 0 10-2 Purchase of Machine Example Assumptions: = 20% 11

9. Estimated average annual income $ 30,000 $ 36,000 Average investment $120,000 $180,000 Average rate of return 25% $30,000 $120,000 0 10-2 Proposal A Proposal B 12

10. Average rate of return 25% $360,000 $180,000 0 10-2 Proposal A Proposal B Estimated average annual income $ 30,000 $ 36,000 Average investment $120,000 $180,000 20% Proposal A would be preferred over Proposal B. 13

11. Example Exercise 10-1 Follow My Example 10-1 0 10-2 Determine the average rate of return for a project that is estimated to yield total income of $273,600 over three years, cost $690,000, and has a $70,000 residual value. Est. average annual income: $91,200 ($273,600/3 years) Average investment: $380,000 ($690,000 + $70,000)/2 Average rate of return: 24% ($91,200/$380,000) 14 For Practice: PE 10-1A, PE 10-1B

12. 0 10-2 Cash Payback Method The expected period of time that will pass between the date of an investment and the complete recovery in cash (or equivalent) of the amount invested is the cash payback period.

13. 0 10-2 The excess of cash flowing in from revenue over the cash flowing out for expenses is termed net cash flow.

14. Cash payback period Total Investment = Annual Net Cash Flow Cash payback period $200,000 = 5 years = $40,000 0 10-2 Assumptions: Investment cost $200,000 Expected annual net cash flow (equal) $40,000 17

15. 0 10-2 Advantages and Disadvantages of the Cash Payback Method Advantages: • Considers cash flows • Shows when funds are available for reinvestment Disadvantages: • Ignores profitability (accounting income) • Ignores cash flows after the payback period

16. Example Exercise 10-2 Follow My Example 10-2 0 10-2 A project has estimated annual net cash flows of $30,000. It is estimated to cost $105,000. Determine the cash payback period. 3.5 years ($105,000/$30,000) 21 For Practice: PE 10-2A, PE 10-2B

17. 0 10-2 Present Value Concepts Present value concepts can be divided into: • the present value of an amount and • the present value of an annuity.

18. 0 10-2 Present Value of an Amount On January 1, 2008, you invest $1 in an account that earns 12% interest compounded annually. Interest earning interest is called compounding.

19. $1.00 $1.00 Jan. 1 2008 Jan. 1 2009 Jan. 1 2010 Jan. 1 2011 0 10-2 Present Value Concepts $1.00 x 1.12 $1.12 x 1.12 $1.254 x 1.12 $1.12 $1.254 $1.404 24

20. 0 10-2 Assume that today is January 1, 2008 and the current interest rate is 12 percent. What is the present value of $1,404 to be received on January 1, 2011? To determine the answer, we need to go to Exhibit 1 and find the table value for three years at 12 percent.

21. 0 10-2 Partial Present Value of $1 Table Present Value of $1 with Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 0.890 0.826 0.797 0.756 0.694 3 0.840 0.751 0.712 0.658 0.579 4 0.792 0.683 0.636 0.572 0.482 5 0.747 0.621 0.567 0.497 0.402 6 0.705 0.564 0.507 0.432 0.335 0.712 26 Left click the mouse for solution.

22. 0.712 x $1,404 Present value = $1,000.00 (rounded) Present value = 0 10-2 Amount to be received on January 1, 2011 Table value x Present value = Summary: If the interest rate is 12%, then $1,404 in three years is worth $1,000 today. 27

23. 0 10-2 Present Value of an Annuity An annuity is a series of equal net cash flows at fixed time intervals. The present value of an annuity is the amount of cash needed today to yield a series of equal net cash flows at fixed time intervals in the future.

24. 0 10-2 Net Present Value Method The net present value method (also called the discounted cash flowmethod) analyzes capital investment proposals by comparing the initial cash investment with the present value of the net cash flows.

25. 0 10-2 Equipment Example At the beginning of 2008, equipment with an expected life of five years can be purchased for $200,000. At the end of five years it is anticipated that the equipment will have no residual value. (Continued)

26. 0 10-2 Equipment Example A net cash flow of $70,000 is expected at the end of 2008. This net cash flow is expected to decline $10,000 each year (except 2012) until the machine is retired. The firm expects a minimum rate of return of 10%. Should the equipment be purchased? (Continued)

27. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 $70,000 x 0.909 (n = 1; i =10%) (Continued) 32

28. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 $ 49,560 $60,000 x 0.826 (n = 2; i = 10%) (Continued) 33

29. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 $ 49,560 $ 37,550 $50,000 x 0.751 (n = 3; i = 10%) (Continued) 34

30. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 $ 49,560 $40,000 x 0.683 (n = 4; i =10%) $ 37,550 $ 27,320 (Continued) 35

31. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 $ 49,560 $ 37,550 $40,000 x 0.621 (n = 5; i = 10%) $ 27,320 $ 24,840 (Continued) 36

32. Jan. 1 2008 Dec. 31 2008 Dec. 31 2009 Dec. 31 2010 Dec. 31 2011 Dec. 31 2012 0 10-2 Equipment Example $(200,000) $70,000 $60,000 $50,000 $40,000 $40,000 $ 63,630 The equipment should be purchased because the net present value is positive. $ 49,560 $ 37,550 $ 27,320 $ 24,840 $ 2,900 Net present value 37 Total present value of the net cash flow is $202,900 (Concluded)

33. 0 10-2 Present Value Index When capital investment funds are limited and the alternative proposals involve different amounts of investment, it is useful to prepare a ranking of the proposals by using a present value index.

34. $202,900* = 1.0145 Present value index = $200,000 0 10-2 Total present value of net cash flow Present value index = Amount to be invested 39

35. Total present value of net cash flow $107,000 $86,400 $86,400 Amount to be invested 100,000 80,000 90,000 Net present value $ 7,000 $ 6,400 $ 3,600 Present value index 0 10-2 Ranking Various Proposals Using a Present Value Index Proposal A Proposal B Proposal C 1.07 $107,000 $100,000 40

36. 0 10-2 Proposal A Proposal B Proposal C Total present value of net cash flow $107,000 $86,400 $86,400 Amount to be invested 100,000 80,000 90,000 Net present value $ 7,000 $ 6,400 $ 3,600 Present value index 1.07 1.08 $86,400 $80,000 41

37. 0 10-2 Proposal A Proposal B Proposal C Total present value of net cash flow $107,000 $86,400 $86,400 Amount to be invested 100,000 80,000 90,000 Net present value $ 7,000 $ 6,400 $ 3,600 Present value index 1.07 1.08 0.96 $86,400 $90,000 42

38. Proposal A Proposal B Proposal C Total present value of net cash flow $107,000 $86,400 $86,400 Amount to be invested 100,000 80,000 90,000 Net present value $ 7,000 $ 6,400 $ 3,600 Present value index 1.07 1.08 0.96 0 10-2 Proposal B has the best present value index. Management should consider the possible use of the $20,000 difference between Proposal A and Proposal B before making a decision. 43

39. 0 10-2 A proposal is made to acquire $200,000 of equipment with an expected useful life of five years (no residual value) and a minimum desired rate of return of 10%. The new equipment is expected to generate a net cash inflow of $50,000 each year. Should the firm acquire the equipment? 44

40. Present Value of an Annuity of $1 Table Value from Exhibit 2 x $50,000 = Present Value of an Annuity of $1 Table Value from Exhibit 2 Equal Annual Cash Flows x = 0 10-2 Refer to Exhibit 2 45

41. 0 10-2 Partial Present Value of an Annuity Table Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% • 1 0.943 0.909 0.893 0.870 0.833 • 2 1.833 1.736 1.690 1.626 1.528 • 3 2.673 2.487 2.402 2.283 2.106 • 4 3.465 3.170 3.037 2.855 2.589 • 5 4.212 3.791 3.605 3.353 2.991 • 4.917 4.355 4.111 3.785 3.326 • 5.582 4.868 4.564 4.160 3.605 • 6.210 5.335 4.968 4.487 3.837 3.791 46

42. $50,000 x 3.791 = $189,550 $189,550 $200,000 Present Value Index = 0 10-2 Present Value of an Annuity of $1 $50,000 x 3.791 = = 0.948 The proposal should be rejected because the present value index is less than one. 47

43. Considers cash flows and the time value of money 0 10-2 Advantage and Disadvantage of Net Present Value Method Advantage: Disadvantage: • Assumes that cash received can be reinvested at the rate of return

44. Example Exercise 10-3 0 10-2 A project has estimated annual net cash flows of $50,000 for seven years and is estimated to cost $240,000. Assume a minimum acceptable rate of return of 12%. Using Exhibit 2, determine the (a) net present value of the project and (b) the present value index, rounded to two decimal places. 49

45. Follow My Example 10-3 0 10-2 • ($11,800) [($50,000 x 4.564) – $240,000] • 0.95 ($228,200/$240,000) 50 For Practice: PE 10-3A, PE 10-3B

46. 0 10-2 Internal Rate of Return Method The internal rate of return (IRR)method(sometimes called the time-adjusted rate of return method) uses present value concepts to compute the rate of return from the net cash flows expected from capital investment proposals.

47. 0 10-3 Objective 3 List and describe factors that complicate capital investment analysis.

48. 0 10-3 Factors that Complicate Capital Investment Analysis • Income tax • Unequal proposal lives • Lease versus capital investment • Uncertainty • Changes in price levels • Qualitative considerations

49. 0 10-4 Capital Rationing Capital rationing is the process by which management allocates funds among competing capital investment proposals.