In: Accounting
Exercise 13-9 Net Present Value Analysis and Simple Rate of Return [LO13-2, LO13-6]
Derrick Iverson is a divisional manager for Holston Company. His annual pay raises are largely determined by his division’s return on investment (ROI), which has been above 20% each of the last three years. Derrick is considering a capital budgeting project that would require a $4,480,000 investment in equipment with a useful life of five years and no salvage value. Holston Company’s discount rate is 18%. The project would provide net operating income each year for five years as follows:
Sales | $ | 3,900,000 | ||
Variable expenses | 1,700,000 | |||
Contribution margin | 2,200,000 | |||
Fixed expenses: | ||||
Advertising, salaries, and other fixed out-of-pocket costs |
$ | 740,000 | ||
Depreciation | 896,000 | |||
Total fixed expenses | 1,636,000 | |||
Net operating income | $ | 564,000 | ||
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. Compute the project's net present value.
2. Compute the project's simple rate of return.
3a. Would the company want Derrick to pursue this investment opportunity?
3b. Would Derrick be inclined to pursue this investment opportunity?
Answer 1
Given That
Net Operating Income ==> $564,000
Depreciation ==> $896,000
Annual Net Cash Flow ==> $564,000 + $896,000 ==> $1,460,000
Also, Given that
n ==> 5 & i ==> 18%
PV(Present Value)
==> Net Cash Flow * Pv factor
==> $1,460,000 * 3.127 ==> $4,565,420
PV(Present Value) ==> $4,565,420
NPV (Net Present Value) ==> PV cash inflows - PV cash out flows
==> $4,565,420 - $4,480,000
NPV ==> $85,420
Answer 2
simple rate of return:
==> Net operating income/Initaial Investment
==> $564,000/$4,480,000 ==> 0.1258
simple rate of return==> 12.58%
Answer 3a
Yes, Company want Derrick to pursue this opportunity because its simple rate of return(ROR) is 12.58% which is less than discount rate of 18%.
Answer 3b
Here the answer is NO, because of the simple ROR(Rate of Return) is 12.58% which is less than division’s return on investment (ROI) which is above 20% of last 3 Yrs.
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