In: Accounting
Bau Long-Haul, Inc., is considering the purchase of a tractor-trailer that would cost $325,526, would have a useful life of 7 years, and would have no salvage value. The tractor-trailer would be used in the company's hauling business, resulting in additional net cash inflows of $83,000 per year. The internal rate of return on the investment in the tractor-trailer is closest to (Ignore income taxes.):
Noreen_5e_Rechecks_2019_10_16
Multiple Choice
19%
17%
14%
16%
Correct Option B i.e. 17% | ||||||||||
IRR: IRR stands for Internal rate of return, it is a rate where Net present value is zero. | ||||||||||
Steps: To Calculate IRR, we took two random discount rate where at one present value is in negative while in other in positive. Here we took 20% and 28%. | ||||||||||
Year | Cash Flows | PVF | PVF | Present Value at | Present Value at | |||||
14% | 19% | 14% | 19% | |||||||
0 | -325526 | 1.00000 | 1.000 | (325,526) | (325,526) | |||||
1 | 83000 | 0.87719 | 0.840 | 72,807 | 69,748 | |||||
2 | 83000 | 0.76947 | 0.706 | 63,866 | 58,612 | |||||
3 | 83000 | 0.67497 | 0.593 | 56,023 | 49,254 | |||||
4 | 83000 | 0.59208 | 0.499 | 49,143 | 41,390 | |||||
5 | 83000 | 0.51937 | 0.419 | 43,108 | 34,781 | |||||
6 | 83000 | 0.45559 | 0.352 | 37,814 | 29,228 | |||||
7 | 83000 | 0.39964 | 0.296 | 33,170 | 24,561 | |||||
Net Present Value | 30,403 | (17,953) | ||||||||
IRR = Lower Discount Rate + [Lower Rate NPV / (Lower Rate NPV - Higher Rate NPV)] * (Higher Discount Rate - Lower Discount Rate) | ||||||||||
By putting above values in the give formula we get IRR = 17% | ||||||||||