To Illustrate... A firm purchases land (a non- depreciable asset) for $5,000; and Rents it out at $750.00 per year for ten years. What is the return?
Since the asset will still be intact at the end of the 10-year period, each year’s $750 inflow is a return on the original $5,000 investment. The rate of return is therefore: What is the Return?
Return on Assets Must u Provide a return on the original investment. u A return of the original investment itself.
To Illustrate... A firm purchases land (a non- depreciable asset) for $5,000; and Rents it out at $750.00 per year for ten years. Assume the $5,000 investment is in equipment and will reduce operating costs by $750 each year for 10 years. Hmmm. What now?
Cash Inflows Cash Outflows PV$ (PV$) Usually Future Future and/or Present NPV Discount Net Present Value Method
Cash Inflows Cash Outflows PV$ (PV$) Usually Future Future and/or Present NPV Discount Net Present Value Method If the result is positive, the investment promises more than the interest rate used to evaluate the proposal.
Cash Inflows Cash Outflows PV$ (PV$) Usually Future Future and/or Present NPV Discount Net Present Value Method If the result is zero, the investment yields exactly the interest rate used to evaluate the proposal.
Cash Inflows Cash Outflows PV$ (PV$) Usually Future Future and/or Present NPV Discount Net Present Value Method If the result is negative, the investment should be rejected because the required rate of return will not be earned. (NPV)
Typical Cash Outflows The initial investment Additional amount of working capital Repairs and maintenance Additional operating costs
Typical Cash Inflows Incremental revenues Reduction in costs Salvage value Release of working capital
PDQ Company – NPV Example PDQ company requires a minimum return of 18% on all investments. The company can purchase a new machine at a cost of $40,350. The new machine would generate cash inflows of $15,000 per year and have a four-year life with no salvage value. What is the net present value of this project?
Initial Inv. Annual CF Net Present Value Now 1-4 (40,350) 15,000 1.000 2.690 ItemYr(s) Amt of Cash Flow 18% Factor Present Value of CF (40,350) 40,350 -0- PDQ Company – NPV Example
Each $15,000 Inflow... Provides for a recovery of a portion of the original $40,350 investment; and Also provides a return of 18% on this investment.
$15,000$7,263$7,737$32,613 1 2 3 4 $40,350 (2) Cash Inflow (3) ROI (1)* 18% (4) Rec of Inv. (2)-(3) PV of Cash Flow (1)-(4) Year (1) Inv O/S during Year $40,350 x 18% = $7,263 $15,000 - $7,263 = $7,737 $40,350 - $7,737 = $32,613
$15,000 15,000 $7,263 5,870 $7,737 9,130 $32,613 23,483 1 2 3 4 $40,350 32,613 (2) Cash Inflow (3) ROI (1)* 18% (4) Rec of Inv. (2)-(3) PV of Cash Flow (1)-(4) Year (1) Inv O/S during Year 15,0004,22710,77312,71023,48315,0002,29012,710-0-12,710
Practice Exercise 1 Calculate Net Present Value (NPV)
An investment that costs $10,000 will return $4,000 per year for four years. Determine the net present value of the investment if the required rate of return is 12 percent. Ignore income taxes. Should the investment be undertaken? Practice Exercise 1
Initial Inv. Annual CF Net Present Value Now 1-4 (10,000) 4,000 1.000 3.037 ItemYr(s) Amt of Cash Flow 12% Factor Present Value of CF ($10,000) 12,148 $2,148 Practice Exercise 1
Practice Exercise 2 Calculate Net Present Value (NPV)
Magnolia Florist is considering replacing an old refrigeration unit with a larger unit to store flowers. Because the new refrigeration unit has a larger capacity, Magnolia estimates that they can sell an additional $6,000 of flowers a year (the cost of the flowers is $3,500). Practice Exercise 2
In addition, the new unit is energy efficient and should save $950 in electricity each year. It will cost an extra $150 per month for maintenance. The new refrigeration unit costs $20,000 and has an expected life of 10 years. Practice Exercise 2
The old unit is fully depreciated and can be sold for an amount equal to disposal cost. At the end of 10 years, the new unit has an expected residual value of $5,000 Determine the NPV of the investment if the RRR is 14% (ignore taxes). Should the investment be made. Practice Exercise 2
Determine the net cash flow for the life of the equipment. Practice Exercise 2 ItemCash Flow Additional Sales$6,000 Cost of Sales(3,500) Savings in Electricity950 Maintenance(1,800) Total$1,650
Initial Inv. Annual CF Net Present Value Now 1-10 (20,000) 1,650 1.000 5.216 ItemYr(s) Amt of Cash Flow 14% Factor Present Value of CF ($20,000) 8,606 Practice Exercise 2 Salvage105,000.2701,350 ($10,044)
Limiting Assumptions... All cash flows occur at the end of the period. All cash flows generated by an investment are immediately reinvested in another project which yields a return at least as large as the discount rate used in the first project.
Discount Rate... The rate generally viewed as being the most appropriate is a firm’s cost of capital. This rate is also known as... Hurdle Rate Cutoff Rate Required Rate of Return
Cash Inflows Cash Outflows PV$ (PV$) Usually Future Future and/or Present NPV Discount Net Present Value Method $-0- The internal rate of return (IRR) is that rate of interest which will exactly equate the PV of the cash inflows with the PV of the cash outflows. Resulting in $0 NPV
Internal Rate of Return When the annual cash flows are even, the IRR formula is simply... df = I / CF, or Investment/Annual Cash Flow
Using the IRR Method The cost of capital takes the form of a hurdle rate that a project must clear for acceptance. If the IRR on a project is not great enough to clear the cost of capital hurdle, then the project is rejected.
Using the NPV Method The cost of capital becomes the actual discount rate used to compute the NPV of a proposed project. Projects yielding negative NPVs are rejected unless nonquantitative factors, such as social responsibility, employee morale, etc., intervene.
Compare Net Present Value and Internal Rate of Return
Compare IRR & NPV... The NPV method is simpler to use. Using the NPV method makes it easier to adjust for risk. The NPV method provides more usable information than does the IRR method.
The Payback Period... This method involves a span of time known as the payback period. The payback period is the length of time it takes for an investment project to recoup its own initial cost out of the cash receipts that it generates.
The Payback Period... The basic premise of this method is that the more quickly the cost of an investment can be recovered, the more desirable is the investment.
The Payback Period... The payback period is expressed in years. The basic formula is... Investment Req --------------------------- = Payback Period Net Annual CF
Practice Exercise 3 Calculate the Payback period
The Lower Valley Wheat Cooperative is considering the construction of a new silo. It will cost $41,000 to construct the silo. Determine the payback period if the expected cash inflows are $5,000 per year. Practice Exercise 3
The Payback Period... $41,000 --------------------------- = 8.2 Years $5,000
Simplified Approaches to Capital Budgeting AKA: Accounting Rate of Return
The Simple Rate of Return The Simple Rate of Return is equal to Incremental income from the project divided by the initial investment in the project. Simple Rate of Return (SRR) = Inc. NOI Initial Investment* *Less Salvage Value if any
The Simple Rate of Return If a cost reduction project is involved, the formula becomes: SRR= Cost Savings - Depreciation Initial Investment* *Less Salvage Value if any
Practice Exercise 4 Calculate the Simple Rate of Return
Practice Exercise 4 Martin Company is considering the purchase of a new piece of equipment. Relevant information concerning the equipment follows: Compute the Simple Rate of Return. Purchase Cost$180,000 Annual cost savings37,500 Useful Life12 Years