Finance & Accounting

Introduction

This report presents the financial analysis of KÄRCHER, covering both the calculation of the company's cost of capital and the appraisal of three potential investment projects. A central aim of corporate finance is to maximise shareholder wealth, a goal inherently connected to sound decision-making on investment and financing. The mix of debt and equity a firm uses — its capital structure — is a strategic decision with a direct impact on the cost of capital, which represents the minimum return investors demand (Modigliani and Miller, 1958).

The first calculation in this report is the weighted average cost of capital (WACC) for KÄRCHER. It then assesses the three projects using multiple investment appraisal techniques. Finally, it examines the interdependence between capital structure and cost of capital, presenting both the conceptual background and practical implications for a global company such as KÄRCHER.

Cost of Capital and Investment Appraisal

2.1 Cost of Capital, Debt-to-Equity Ratio, and WACC

Cost of Equity (K_e) using the Dividend Growth Model

K_e = D₁ / P₀ + g

Where D₁ = next year's expected dividend per share ($0.33), P₀ = current market price per share ($5.10), g = dividend growth rate (3.5%).

Cost of Equity Calculation (Dividend Growth Model)

Cost of Debt (K_d)

The pre-tax cost of debt is approximated using the Yield to Maturity (YTM) of the bonds:

K_d (approx) = [I + (FV − PV) / n] / [(FV + PV) / 2]

Where I = annual interest ($10), FV = face value ($100), PV = present/market value ($114), n = years to maturity (10), tax rate = 30%.

Cost of Debt Calculation

Market Values and Capital Structure

Market Values of Equity and Debt

Debt-to-Equity Ratio

Weighted Average Cost of Capital (WACC)

WACC = (E/V × K_e) + (D/V × K_d × (1 − T))

Weighted Average Cost of Capital Calculation

2.2 Project Appraisal and Ranking

Summary of appraisal results, calculated in full in the appendix ($'000):

Summary of Investment Appraisal Results ($'000)

Project Ranking by Method

Project Ranking Based on Each Appraisal Method

Different appraisal methods point to different preferred projects, which is expected — each measures a different dimension of return. Since the primary corporate objective is the maximisation of shareholder wealth, which is most directly represented by the absolute value-added measure of NPV, Project A is the most preferable investment. Project A requires a total investment of $1.7 million; pursuing Project A alone would leave a surplus of $1.4 million from the available $3.1 million budget.

The Relationship between Capital Structure and Cost of Capital

Capital structure and cost of capital have a significant relationship that shapes corporate value. Although theoretical approaches such as trade-off theory offer a framework for an ideal debt-to-equity mix, real-world financial decision-making involves genuine trade-offs (Myers, 2001). For an internationally recognised company such as KÄRCHER, a deliberate and clearly communicated capital structure strategy is essential. The company's current debt-to-equity ratio of 0.42 indicates a moderate use of leverage. Using the calculated WACC of 8.69% as the benchmark for assessing proposed projects ensures that only value-accretive projects are pursued.

Capital structure describes the particular combination of long-term debt and equity a company uses to fund its operations and growth. Equity capital, as an ownership stake, carries a residual claim on profits and assets — the price shareholders are compensated for that risk is captured in KÄRCHER's cost of equity of 9.97% (Brealey, Myers and Allen, 2023). Debt capital, provided by creditors, is a liability that must be repaid with interest; KÄRCHER's after-tax, tax-shielded cost of debt sits at 5.63%. Financial leverage increases both risk and potential return, since it changes the proportion of fixed obligations relative to equity. When profits are strong, a higher debt-to-equity ratio can enhance returns on equity, but during a downturn it increases the risk of financial distress, which raises both the cost of debt and the cost of equity (Jensen and Meckling, 1976).

The cost of capital is a composite measure most commonly expressed as the WACC — the average rate of return a company must generate to satisfy the investors funding its assets (Arnold, 2022). For KÄRCHER, a WACC of 8.69% represents a meaningful hurdle rate: any project returning more than this rate, including all three proposed projects, is considered value-adding. A lower WACC reduces this hurdle, making more projects economically viable and supporting growth.

The relationship between leverage and WACC is well established in the theoretical literature. Modigliani and Miller's original 1958 proposition, under the assumption of a perfect market with no taxes, held that a firm's value is independent of its capital structure. However, once they introduced corporate taxes into the model (Modigliani and Miller, 1963), they showed that the tax-deductibility of interest makes debt financing advantageous, creating a tax shield that lowers WACC and increases firm value.

Trade-off theory builds on this by proposing that firms balance the tax advantages of debt against the costs of financial distress — bankruptcy costs and agency costs (Kraus and Litzenberger, 1973). As leverage rises, the perceived risk to both equity and debt holders increases, requiring higher returns from shareholders and higher interest rates from creditors. This produces a U-shaped WACC curve with a minimum point representing the optimal capital structure (Frank and Goyal, 2021). Pecking order theory offers a different lens, suggesting that firms prioritise financing sources based on information asymmetry — preferring internal finance first, then debt, and treating new equity issuance as a last resort (Myers and Majluf, 1984). As a mature, established firm, KÄRCHER is likely to generate substantial internal funds, meaning pecking order theory would predict comparatively low reliance on external capital.

The effect of the capital structure decision on firm value is significant. Moving toward an optimal structure reduces WACC, which increases the present value of future cash flows and ultimately raises the firm's market value (Damodaran, 2021) — a direct application of the discounted cash flow appraisal technique used above. The chosen capital structure also signals information to the market: issuing debt can be read as a signal of management confidence in future cash flows, while issuing equity is sometimes interpreted less favourably (Ross, 1977). For KÄRCHER, a moderate level of debt is beneficial, since it preserves financial flexibility to withstand economic cycles and pursue strategic opportunities, consistent with the company's history of innovation (KÄRCHER, 2023). Excessive leverage, by contrast, would constrain operational flexibility and increase vulnerability, ultimately eroding shareholder value.

Conclusion

This financial analysis establishes that all three proposed projects are viable, with Project A generating the highest absolute value addition. The calculated WACC of 8.69% provides a robust benchmark for this decision. The capital structure discussion reinforces that financing is not merely a funding choice but a fundamental strategic decision. KÄRCHER can maintain a cost-efficient capital structure by carefully balancing the tax benefits of debt against the risks of financial distress, while remaining attentive to the signal its financing choices send to the market. Such a structure would lower WACC, provide a sound foundation for value-adding projects, and support the core corporate goal of maximising shareholder wealth.

References

• Arnold, G. (2022). Corporate Financial Management. 7th ed. Pearson.
• Brealey, R.A., Myers, S.C. & Allen, F. (2023). Principles of Corporate Finance. 14th ed. McGraw-Hill.
• Damodaran, A. (2021). Applied Corporate Finance. 5th ed. John Wiley & Sons.
• Frank, M.Z. & Goyal, V.K. (2021). 'The Trade-off Theory of Capital Structure'. Journal of Economic Literature, 59(4), pp. 1237–1285.
• Jensen, M.C. & Meckling, W.H. (1976). 'Theory of the Firm'. Journal of Financial Economics, 3(4), pp. 305–360.
• KÄRCHER. (2023). Annual Report 2023. Alfred Kärcher SE & Co. KG.
• Kraus, A. & Litzenberger, R.H. (1973). 'A State-Preference Model of Optimal Financial Leverage'. The Journal of Finance, 28(4), pp. 911–922.
• Modigliani, F. & Miller, M.H. (1958). 'The Cost of Capital, Corporation Finance and the Theory of Investment'. The American Economic Review, 48(3), pp. 261–297.
• Modigliani, F. & Miller, M.H. (1963). 'Corporate Income Taxes and the Cost of Capital'. The American Economic Review, 53(3), pp. 433–443.
• Myers, S.C. & Majluf, N.S. (1984). 'Corporate Financing and Investment Decisions'. Journal of Financial Economics, 13(2), pp. 187–221.
• Myers, S.C. (2001). 'Capital Structure'. Journal of Economic Perspectives, 15(2), pp. 81–102.
• Ross, S.A. (1977). 'The Determination of Financial Structure: The Incentive-Signalling Approach'. The Bell Journal of Economics, 8(1), pp. 23–40.
• Serghiescu, L. & Văidean, V.L. (2024). 'Determinants of Corporate Capital Structure'. Journal of Risk and Financial Management, 17(2), p. 56.
• Strebulaev, I.A. & Yang, B. (2022). 'The Mystery of Zero-Leverage Firms'. Journal of Financial Economics, 144(1), pp. 1–24.
• Titman, S. & Tsyplakov, S. (2021). 'A Dynamic Model of Optimal Capital Structure'. Review of Finance, 25(1), pp. 85–119.

Appendix: Detailed Project Cash Flow Calculations ($'000)

Project A: Cold & Hot Water High-Pressure Cleaners (WACC: 8.69%)

Initial Investment: $1,700; Scrap: $54; Tax Depreciation: 20% Reducing Balance

Project A Cash Flow and Discounting

NPV = $530.2; IRR = 22.1%; PI = (530.2 + 1700) / 1700 = 1.31; ROCE = Average PBIT / Initial Investment = (463.3+563.8+657.5+797.9)/4 / 1700 = 33.8%; PP = 3 + (383.9/719.9) = 3.53 years; DPP = 3 + (383.9/515.8) = 3.74 years.

Project B: Wet and Dry Vacuum Cleaners (Cost of Debt: 5.63%)

Initial Investment: $1,400; Scrap: $56 (4% of $1,400); Sunk Cost ($140 survey) excluded.

Project B Cash Flow and Discounting

NPV = $427.6; IRR = 26.5%; PI = 1.31; ROCE = (294.2+499.8+668.0+700.4)/4 / 1400 = 47.6%; PP = 2 + (658.6/623.1) = 3.06 years; DPP = 3 + (129.9/531.0) = 3.24 years.

Project C: Hard Floor Cleaners (WACC: 8.69%)

Initial Investment: $1,437 ($1,400 machine + $37 working capital)

Project C Cash Flow and Discounting

NPV = $332.1; IRR = 19.8%; PI = 1.24; ROCE = Average Incremental PBIT / Initial Investment = 30.5%; PP = 3 + (310.0/598.7) = 3.52 years; DPP = 3 + (310.0/428.9) = 3.72 years.