With a DOL of 5.0 and a DFL of 1.33, the DEGREE OF COMBINED LEVERAGE is:
Select an option first.
Correct answer: D — 6.65
Explanation: DCL = DOL × DFL = 5.0 × 1.33 = 6.65. The leverages MULTIPLY, they do not add. A 10% sales increase would raise EPS by approximately 66.5%.
Question 123
Beta is 1.2, the risk-free rate is 3%, and the market risk PREMIUM is 7%. The cost of equity is:
Select an option first.
Correct answer: C — 11.4%
Explanation: CAPM: Re = Rf + β × Market risk premium = 3% + 1.2 × 7% = 3% + 8.4% = 11.4%. Note the question gives the PREMIUM directly (7%), not the market return — read carefully.
Question 124
Equity is $600m (cost 12%), debt is $400m (pre-tax cost 6%), tax rate 25%. WACC is:
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Using the prior facts, the PROFITABILITY INDEX is:
Select an option first.
Correct answer: B — 1.14
Explanation: PI = PV of future cash flows / Initial investment = $568,620 / $500,000 = 1.14. PI ≥ 1 corresponds exactly to NPV ≥ 0 — the two criteria always agree on accept/reject.
Question 127
A project costs $400,000 with even annual cash flows of $100,000. The simple PAYBACK period is:
Select an option first.
Correct answer: D — 4.0 years
Explanation: Payback = Initial investment / Annual cash flow = $400,000 / $100,000 = 4.0 years. Payback ignores BOTH the time value of money and all cash flows after year 4.
Question 128
A machine costs $200,000, is depreciated straight-line over 5 years with no salvage, and the tax rate is 25%. The annual DEPRECIATION TAX SHIELD is:
Select an option first.
Correct answer: C — $10,000
Explanation: Annual depreciation = $200,000 / 5 = $40,000. Tax shield = Depreciation × Tax rate = $40,000 × 25% = $10,000 per year — a cash INFLOW.
Question 129
An asset with a book value of $30,000 is sold for $50,000; the tax rate is 25%. The AFTER-TAX proceeds are:
Select an option first.
Correct answer: B — $45,000 — proceeds less tax on the $20,000 gain
The same asset (book value $30,000) is instead sold for $20,000. After-tax proceeds are:
Select an option first.
Correct answer: C — $22,500 — proceeds PLUS the tax BENEFIT of the $10,000 loss
Explanation: Loss = $30,000 − $20,000 = $10,000, which is TAX-DEDUCTIBLE. Tax benefit = 25% × $10,000 = $2,500 (a cash INFLOW). After-tax proceeds = $20,000 + $2,500 = $22,500. Selling at a loss produces MORE after-tax cash than the sale price alone.
Question 131
Direct materials: standard 5 lbs at $4/lb. Actual: 5,200 lbs PURCHASED at $4.20/lb for 1,000 units produced. The PRICE variance is:
Select an option first.
Correct answer: A — $1,040 unfavourable — (Actual price $4.20 − Standard $4.00) × 5,200 lbs purchased
Explanation: Weighted-average EU = Units completed and transferred out (9,000) + (Ending WIP × % complete) = 9,000 + (3,000 × 40%) = 9,000 + 1,200 = 10,200. Weighted average IGNORES the beginning WIP's prior-period work.
Question 144
Same facts under FIFO (beginning WIP 2,000 units 60% complete; 9,000 completed; ending WIP 3,000 units 40% complete). Equivalent units are:
Select an option first.
Correct answer: A — 9,000 — (2,000 x 40% to complete) + 7,000 started & completed + (3,000 x 40%)
Explanation: FIFO EU = (Beginning WIP x % REMAINING to complete) + Started and completed + (Ending WIP x % complete). Beginning WIP was 60% complete, so 40% REMAINS: 2,000 x 40% = 800. Started and completed = 9,000 completed - 2,000 that came from beginning WIP = 7,000. Ending WIP = 3,000 x 40% = 1,200. Total = 800 + 7,000 + 1,200 = 9,000. Weighted-average gives 10,200 (option A) — the 1,200 difference is exactly the prior-period work in beginning WIP (2,000 x 60%) that FIFO EXCLUDES and weighted-average INCLUDES.
Question 145
Sales $1,000,000; variable costs $600,000; fixed costs $250,000. The CM RATIO is:
Select an option first.
Correct answer: C — 40%
Explanation: CM = $1,000,000 − $600,000 = $400,000. CM ratio = $400,000 / $1,000,000 = 40%.
Question 146
Using the prior facts, operating income is:
Select an option first.
Correct answer: D — $150,000
Explanation: Operating income = CM $400,000 − Fixed costs $250,000 = $150,000. DOL = $400,000/$150,000 = 2.67.
Question 147
A company sells two products: A (CM $30, 60% of mix) and B (CM $10, 40%). The WEIGHTED-AVERAGE CM is:
Select an option first.
Correct answer: D — $22
Explanation: Weighted-average CM = (0.60 × $30) + (0.40 × $10) = $18 + $4 = $22. Break-even units (total) = Fixed costs / $22, then split by the mix.
Question 148
With fixed costs of $220,000 and a weighted-average CM of $22, total break-even units are:
Select an option first.
Correct answer: A — 10,000
Explanation: Break-even units = $220,000 / $22 = 10,000 total units — of which 6,000 are Product A (60%) and 4,000 are Product B (40%).
Question 149
A project has cash flows of −$100,000, then $60,000 and $60,000. At a 10% discount rate (PV factors 0.9091 and 0.8264), NPV is:
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