Question

In: Accounting

Bau Long-Haul, Inc., is considering the purchase of a tractor-trailer that would cost $325,526, would have...

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%

Solutions

Expert Solution

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%

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