Diagnosing Common Financing Recommendation Errors

Introduction: Test the Reasoning, Not Just the Recommendation

A financing recommendation can sound convincing and still rest on the wrong comparison. A lower quoted borrowing rate may come with higher fees or distress costs. EPS can rise even when a transaction reduces shareholder value. Book-value weights can distort a cost-of-capital estimate, and a strong current earnings figure does not guarantee cash will be available when debt comes due.

The practical test is to identify what the decision is meant to improve, measure the relevant cash flows and risks, and compare alternatives on consistent assumptions. The calculations below use concepts from earlier material on financing costs, WACC, and EPS. Each example isolates a common shortcut and shows what additional evidence is needed.

Definition: A financing recommendation error occurs when a choice is justified by a measure that does not capture the relevant total cost, risk, or value effect. A quoted interest rate, EPS, book-value ratio, or current earnings figure can be informative, but none alone establishes that a financing choice is best.

A Consistent Framework for Diagnosing Errors

Start by stating the decision criterion. For a borrowing comparison, it may be the present value of financing-related costs, including fees, interest, and expected distress costs. For a project, it may be whether expected cash flows justify the investment at a rate appropriate to its risk. For a recapitalization, it may be the effect on total value and value per share, not merely the change in EPS.

Make the comparison fair: use the same financing amount, time horizon, discount convention, and treatment of common cash flows whenever possible. Separate operating performance from financing effects. Then check whether the measure used in the recommendation reflects the timing and risk of actual cash flows.

Name the objective.
Specify whether the decision concerns financing cost, project value, risk, or value per share.

List the relevant cash flows and claims.
Include fees, interest, repayment obligations, and material expected distress costs; identify items common to all alternatives.

Use a suitable basis for comparison.
Discount cash flows consistently, use market values for financing weights, and use future cash flows to assess repayment capacity.

Check the conclusion against value and risk.
Do not infer value creation from a higher EPS or a lower stated rate without checking the broader consequences.

Worked Example: The Lowest Interest Rate Is Not the Lowest Total Cost

Worked Example: Comparing Two Borrowing Offers

A firm needs a two-year loan of $2,000,000. Offer A charges 4.8% annual interest, a $40,000 fee at signing, and has an expected distress cost of $70,000 at the end of year 2. Offer B charges 5.5% annual interest, a $10,000 fee at signing, and has an expected distress cost of $20,000 at the end of year 2. Interest is paid at each year-end. Use an effective annual discount rate of 8% for the year-end costs. Exclude repayment of the common principal. Which offer has the lower present-value cost?

Method. Add each offer’s upfront fee to the present value of its interest and expected distress-cost cash flows. The common principal repayment is excluded because it is identical under both offers. Interest is paid in both years, so it must be counted twice.

Offer A’s annual interest is $0.048(2{,}000{,}000)=96{,}000$. Its year-1 cost is $96,000. Its year-2 interest and distress cost total $96{,}000+70{,}000=166{,}000$. Thus:

C_A=40{,}000+\frac{96{,}000}{1.08}+\frac{166{,}000}{(1.08)^2} =40{,}000+88{,}888.89+142{,}318.24 =\$271{,}207.13.

Offer B’s annual interest is $0.055(2{,}000{,}000)=110{,}000$. Its year-1 cost is $110,000, and its year-2 interest and distress cost total $110{,}000+20{,}000=130{,}000$. Therefore:

C_B=10{,}000+\frac{110{,}000}{1.08}+\frac{130{,}000}{(1.08)^2} =10{,}000+101{,}851.85+111{,}454.05 =\$223{,}305.90.

Rounded to the nearest cent, Offer B’s present-value cost is lower by $\$271{,}207.13-\$223{,}305.90=\$47{,}901.23$. Offer A has the lower stated rate, but its larger fee and expected distress cost make it more expensive under the stated assumptions.

Common mistake this avoids: Choosing the 4.8% offer without including fees and other expected costs. The rate is only one input to the comparison; it is not the total cost.

EPS Accretion Is Not Proof of Value Creation

EPS is accounting earnings divided by the number of shares. Debt-funded repurchases can reduce the share count enough to increase EPS even though interest expense reduces earnings. That arithmetic does not establish that the transaction raises the value of the remaining shares. A value assessment must also account for the debt claim and costs such as issuance expenses and expected distress costs.

Worked Example: EPS Rises While Value per Share Falls

A company has 700,000 shares and annual net income of $1,400,000. Its shares are valued at $20 each, so its equity value is $14,000,000. It borrows $2,000,000 at 5% and uses all the proceeds to repurchase shares at $20 each. Assume no taxes. The transaction has issuance costs and expected distress costs with a combined present value of $300,000. Calculate the EPS change and the value per remaining share after the transaction, using the stated value assumptions.

Method. Calculate EPS both before and after the transaction, then calculate the remaining equity value after subtracting the debt and the value lost to transaction and distress costs. These are separate calculations: EPS is not a substitute for the value calculation.

Before the transaction, EPS is $\$1{,}400{,}000/700{,}000=\$2.00$. The repurchase uses $\$2{,}000{,}000/\$20=100{,}000$ shares, leaving 600,000 shares. Annual interest is $0.05(\$2{,}000{,}000)=\$100{,}000$, so post-transaction net income is $\$1{,}400{,}000-\$100{,}000=\$1{,}300{,}000$. Post-transaction EPS is:

\frac{\$1{,}300{,}000}{600{,}000}=\$2.1667\text{ per share}.

EPS therefore rises by about $(2.1667-2.00)/2.00=8.33\%$, rounded to two decimal places. For the value calculation, the remaining equity value is $\$14{,}000{,}000-\$2{,}000{,}000-\$300{,}000=\$11{,}700{,}000$. Dividing by 600,000 remaining shares gives $\$11{,}700{,}000/600{,}000=\$19.50$ per share.

Under the stated assumptions, EPS rises while value per remaining share falls from $20.00 to $19.50. The figures illustrate why an EPS increase alone is not enough to recommend the transaction. The value conclusion depends on the stated cost and value assumptions; EPS by itself does not supply those assumptions.

Common mistake this avoids: Treating a higher EPS as proof that each remaining share is worth more. The reduced share count can raise EPS even while debt and other costs reduce equity value.

Use Market-Value Weights for a Financing Cost Comparison

When estimating WACC for a company or a project with comparable operating risk, use the market values of the financing claims to determine their proportions. Book values describe accounting amounts; they need not reflect the current economic proportions investors have at stake. The usual after-tax WACC expression assumes the relevant debt and equity costs are appropriate for the risk being evaluated, and that the stated tax rate applies to the interest tax shield.

Justification: Let $V_D$ and $V_E$ be the market values of debt and equity, and let $V=V_D+V_E$. If debt investors require return $r_D$ and equity investors require return $r_E$, the required return on the combined financing, before the interest tax adjustment, is the value-weighted return: each claim contributes its required return in proportion to its share of market value. With a corporate tax rate $T$ and a usable interest tax shield, the after-tax debt cost is $r_D(1-T)$. Hence $w_D=V_D/V$, $w_E=V_E/V$, and $WACC=w_Er_E+w_Dr_D(1-T)$. Book values are not the weights in this market-value argument.

Worked Example: Book Weights Give the Wrong Project Hurdle

A firm has market-value equity of $6,000,000 and market-value debt of $4,000,000. Its book-value equity is $3,000,000 and book-value debt is $4,000,000. The cost of equity is 12%, the pretax cost of debt is 6%, and the corporate tax rate is 25%. A proposed project requires $10,000,000 now and is expected to pay $10,800,000 in one year. Assume the project has operating risk comparable to the firm’s existing business and that the interest tax shield is usable. Should it be accepted using WACC as the hurdle rate?

Method. First calculate WACC using market-value weights. Then compare the project’s one-year return and present value with the resulting hurdle rate.

The total market value of financing is $\$6{,}000{,}000+\$4{,}000{,}000=\$10{,}000{,}000$, so the market weights are $w_E=0.60$ and $w_D=0.40$. The after-tax debt cost is $0.06(1-0.25)=0.045$, or 4.5%. Therefore:

WACC=0.60(0.12)+0.40(0.045)=0.072+0.018=0.090=9.00\%.

The book-value weights would instead be $3/7$ for equity and $4/7$ for debt. They produce $ (3/7)(12\%)+(4/7)(4.5\%)=7.71\%$, rounded to two decimal places. That lower rate would incorrectly suggest that the project’s 8% return clears the hurdle.

At the market-weight WACC of 9%, the project’s present value is $\$10{,}800{,}000/1.09=\$9{,}908{,}256.88$, rounded to the nearest cent. Its NPV is $\$9{,}908{,}256.88-\$10{,}000{,}000=-\$91{,}743.12$. It should not be accepted on these assumptions. The market weights matter here because the book-weight estimate would reverse the decision.

Common mistake this avoids: Using accounting balances as if they measured the current proportions of debt and equity financing. Also, WACC is not an appropriate automatic hurdle for a project whose operating risk differs materially from the firm’s existing business.

Current Earnings Do Not Establish Debt Capacity

Current earnings can provide useful context, but debt service requires cash at particular dates. Accounting earnings may differ from cash available, and an average or current figure may hide a downside scenario or a large maturity payment. A coverage ratio based on current earnings is not a forecast of the cash available to repay principal.

Worked Example: A Strong Current Coverage Ratio and a Risky Maturity

A firm reports current annual EBIT of $1,000,000 and is considering a $5,000,000, three-year bullet loan with an annual interest rate of 8%. It expects funds available for principal repayment at the end of year 3, after all scheduled interest payments, to be $6,000,000 with probability 0.80 or $3,500,000 with probability 0.20. Assume there is no refinancing. Calculate current interest coverage and the expected principal shortfall at maturity. Also calculate the present value of that expected shortfall using an effective annual rate of 8%.

Method. Use current EBIT divided by annual interest for the coverage ratio. Separately calculate the shortfall in each maturity scenario; do not infer repayment ability from coverage alone.

Annual interest is $0.08(\$5{,}000{,}000)=\$400{,}000$. Current EBIT interest coverage is $\$1{,}000{,}000/\$400{,}000=2.5$ times. At maturity, the $6,000,000 scenario covers the $5,000,000 principal, so its shortfall is zero. In the $3,500,000 scenario, the shortfall is $\$5{,}000{,}000-\$3{,}500{,}000=\$1{,}500{,}000$. Thus expected shortfall is $0.80(0)+0.20(\$1{,}500{,}000)=\$300{,}000$.

Discounting that expected amount for three years gives $\$300{,}000/(1.08)^3=\$238{,}149.67$, rounded to the nearest cent. This is a present value of the modeled principal shortfall, not an estimate of total distress costs or a guaranteed loss; actual recoveries, refinancing, and other responses could change the outcome.

Common mistake this avoids: Concluding that 2.5 times current interest coverage proves the firm can safely borrow. The ratio does not measure the risk of a large bullet repayment under uncertain future cash flows.

Common Recommendation Traps

Comparing coupon rates alone. Include fees and material expected costs, and distinguish cash flows that differ from those common to both choices.
Calling EPS growth value creation. Calculate the effects on claims and shareholder value; a smaller share count can raise EPS without increasing value per share.
Using book weights for a market-value financing question. State the source of each weight and use market values when estimating the market-weighted cost of capital.
Projecting current earnings into future repayment capacity. Examine cash-flow timing, downside cases, and principal maturities rather than relying on a single current-period ratio.
Applying a comparison mechanically. A WACC estimate is useful only when its risk, tax, and financing assumptions fit the decision being evaluated.

Key takeaway: A defensible financing recommendation connects the decision criterion to the relevant cash flows, costs, risks, and market values. A low stated rate, higher EPS, book-value ratio, or strong current earnings figure may be a clue to investigate, but is not a sufficient conclusion.

Check Your Understanding

For each problem, identify the relevant comparison and check whether the tempting shortcut gives the right conclusion.

A firm borrows $800,000 for one year. Offer A has a 5% rate, a $12,000 fee paid now, and an expected $20,000 distress cost at year-end. Offer B has a 6% rate, a $2,000 fee paid now, and an expected $5,000 distress cost at year-end. Discount year-end costs at 5%; exclude common principal repayment. Which offer has the lower present-value cost, and by how much? (Answer: Offer B; A costs $69,142.86 and B costs $52,476.19, so B is lower by $16,666.67.)
A company earns $900,000 and has 450,000 shares. It borrows at 6% to repurchase 50,000 shares for $1,000,000. Assume no taxes and no other earnings change. What are post-transaction earnings and EPS, and what does the EPS comparison establish? (Answer: Interest is $60,000; post-transaction earnings are $840,000, shares are 400,000, and EPS is $2.10 versus $2.00 before. EPS rises 5%, but this alone does not establish value creation.)
A firm’s market-value equity and debt are $8,000,000 and $2,000,000. Its cost of equity is 11%, pretax cost of debt is 5%, and tax rate is 20%. What is market-weight WACC? If the book values of equity and debt are both $5,000,000, what WACC would book weights imply? (Answer: Market-weight WACC is $0.8(11\%)+0.2(5\%)(0.8)=9.60\%$; book weights imply $0.5(11\%)+0.5(5\%)(0.8)=7.50\%$.)
A firm has current EBIT of $720,000 and annual interest of $180,000. A $1,200,000 principal payment is due at maturity. Funds available then are $1,500,000 with probability 0.70 or $900,000 with probability 0.30. What is current interest coverage and the expected maturity shortfall? (Answer: Coverage is 4.0 times; the shortfall is $300,000 in the lower-funds scenario and zero otherwise, so expected shortfall is $90,000.)
A project costs $5,000,000 and pays $5,450,000 in one year. Its risk-appropriate discount rate is 10%. Calculate NPV and state the decision implied by that rate, even though the one-year return is positive. (Answer: NPV is $\$5{,}450{,}000/1.10-\$5{,}000{,}000=-\$45{,}454.55$, so reject on the stated assumptions.)

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