Level I Corporate Finance practice questions

Sustainable business models must evaluate value creation and capture over a long horizon, accounting for external stakeholder impacts (including communities, regulators, and environment). Ignoring safety protocols to artificially boost short-term profits is a failure of governance and sustainable value creation, exposing equity holders to existential risk.

Option A and Option C are narrow working capital/logistics distractions representing an operational scope reduction mistake.

Step 1: Calculate the Present Value (PV) of each individual end-of-year cash inflow:

Step 2: Aggregate the present values of the inflows:

Step 3: Subtract the initial capital outlay to find the Net Present Value:

Option A is correct. Option C ignores the time value of money, simply adding undiscounted cash flows and subtracting the outlay gives $200k + $250k + $300k - $500k = $250k. Option B ($120,921) discounts with simple interest instead of compounding, dividing each cash flow by $1 + n \times 0.10$:

For perpetual debt with a tax shield discounted at the debt rate, the present value of the tax shield is:

• Option A ($400,000,000) divides the present value of the tax shield by the debt rate a second time: $\frac{0.25 \times 80{,}000{,}000}{0.05} = 400{,}000{,}000.$
• Option B ($60,000,000) incorrectly uses $D \times (1 - t)$, which is not the PV of the tax shield: $80{,}000{,}000 \times (1 - 0.25) = 60{,}000{,}000.$

Number of independent directors:

Independence percentage:

Because 44.44% is less than the required majority (>50%), the company does not comply.

• Option B ignores the calculation: $44.44\% < 50\%$, so compliance is not met.
• Option C misclassifies affiliated non-executives as independent; by definition they are not independent due to material relationships.

The cost of newly issued external common equity is higher than the cost of retained earnings because the firm must pay flotation costs (underwriting fees, legal costs, marketing registration expenses) to place the shares in the market.

Option A is wrong because dividends were never tax-deductible, so issuing new shares does not lose any tax shield.

Option C is wrong because no rule requires a premium to be paid to existing minority shareholders when new shares are issued.

Periodic cost of not taking the discount:

Number of periods per year (360-day convention):

Simple APR (no compounding):

The correct answer is C (24.49%).

• Option A (27.43%) compounds the periodic cost instead of using the simple APR: $(1.020408)^{12} - 1 = 27.43\%$.
• Option B (24.83%) applies the correct periodic cost formula but uses a 365-day year instead of 360: $0.020408 \times \frac{365}{30} = 0.020408 \times 12.1667 \approx 24.83\%$.

In a freemium model, a large base of users pays nothing. The model is sustainable only if the marginal cost of hosting and serving those free users is low enough to be fully cross-subsidized by the premium revenue generated from the percentage of users who convert to paid tiers.

Option B and Option C represent domain mismatch errors because freemium architectures are fundamentally digital, asset-light models where physical inventory logistics and hardware wholesale dynamics are non-core or non-existent.

The NPV method mathematically assumes that all intermediate cash inflows generated over a project's lifespan are reinvested at the project's hurdle rate (the firm's cost of capital). Reinvesting at the cost of capital is considered a more realistic and conservative assumption.

• Option A is wrong because reinvestment at the IRR is the assumption behind the IRR method, not NPV.
• Option C is wrong because neither method assumes reinvestment at the risk-free rate; NPV assumes reinvestment at the rate it discounts with, the cost of capital.

With corporate taxes, the value of the levered firm is:

• Option A ($640,000,000) adds after-tax debt incorrectly: $500{,}000{,}000 + (1 - 0.30) \times 200{,}000{,}000 = 500{,}000{,}000 + 140{,}000{,}000 = 640{,}000{,}000.$
• Option C ($440,000,000) mistakenly subtracts the tax shield: $500{,}000{,}000 - 0.30 \times 200{,}000{,}000 = 440{,}000{,}000.$

Dual-class structures can separate control from ownership, increasing entrenchment and the risk that controllers extract private benefits at the expense of minority shareholders.

• Option A is wrong because founder control can also reduce accountability and weaken minority protections.
• Option B is wrong because independent board oversight remains critical even when controllers hold voting power.