After-Tax Cost of Debt Calculator
Calculate the after-tax cost of debt from your pre-tax rate and tax rate. Solve for any field, derive the rate from a bond yield (YTM), and see the interest tax shield in dollars.
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After-Tax Cost of Debt Calculator
Calculate the after-tax cost of debt from your pre-tax rate and tax rate. Solve for any field, derive the rate from a bond yield (YTM), and see the interest tax shield in dollars.
After-Tax Cost of Debt Calculator
The cost of debt
Enter any two of the pre-tax cost of debt, tax rate, and after-tax cost. The calculator solves for the third.
Optional methods and dollar figures
Show the cost and tax shield in dollars
Enter your total debt to see the annual interest, the tax shield, and the after-tax interest in money terms.
Find the pre-tax rate from interest and debt
Do not know your rate? Divide annual interest expense by total debt to get it.
Find the pre-tax rate from a bond's yield (YTM)
Use a bond's face value, market price, coupon, and maturity to get the market-based cost of debt.
Charts
The after-tax cost of debt is the actual credit cost that a company actually bears after taking into account the tax benefits of interest payments. Since interest is deductible as an operating expense, every dollar paid in interest reduces the amount of taxes owed by the same amount, thus lowering the actual cost of credit below the nominal interest rate. This tool calculates the after-tax cost given the pre-tax interest rate and the tax rate. If one of the three fields are left blank, this tool will calculate that value.
What are after-tax debt costs?
After-tax cost of debt is the effective interest rate that a company actually pays to borrow money, taking into account tax savings from interest payments. Since interest expenses reduce taxable income, the government essentially subsidizes some of the interest expense. As a result, the after-tax cost of debt is lower than the nominal interest rate. This is an important reason why companies use a combination of debt and equity financing.
This is one of two inputs that make up the weighted average cost of capital (WACC); the other being the cost of equity. Analysts use this to discount cash flows, compare financing options and assess whether a new project's profitability exceeds its required rate of return.
Formula for calculating the after-tax cost of debt:
This formula adjusts the pre-tax rate of return to reflect the percentage of interest that is offset by tax deductions.
Here the after-tax cost is a product of the pre-tax debt costs r_d and the value subtracted from 1 by t being the marginal tax rate. Suppose that a company borrows at an interest rate of 8% and has a marginal tax rate of 20%.
When you take the tax deduction into account, a nominal interest rate of 8% is equivalent to an effective cost of 6.4%. This relationship can be reversed so that it can be used in a calculator. If you enter the after-tax cost and the tax rate, the calculator will return the pre-tax interest rate. Alternatively, if you enter two interest rates, the calculator will return the resulting tax rate.
Symbol | Meaning | Example |
|---|---|---|
r_d | Pre-tax (before-tax) cost of debt | 8% |
t | Marginal corporate tax rate | 20% |
r_d after-tax | After-tax cost of debt | 6.4% |
Calculation of pre-tax debt costs
Pre-tax debt costs are the interest before tax benefits are taken into account and are typically calculated in one of three ways.
If the interest rate on a loan or the weighted average interest rate for multiple loans is already known, it can be used directly. If only accounting data are available, annual interest expense is divided by the total amount of debt outstanding. For an entity that pays $50,000 in interest and has total debt of $1,000,000, the pre-tax cost of debt is 5%.
For companies that have issued bonds, the market rate is a more accurate measure. The yield to maturity (YTM) is the interest rate at which the present value of the coupon payments and face value equals the current price of the bond. It represents the cost for a company to borrow money today as opposed to a fixed interest rate set many years ago. If you enter in the face value, price, coupon, and maturity date of a bond, this calculator will calculate the yield to maturity.
Tax shield
A tax shield is the amount saved through deducting interest, expressed as a dollar amount rather than a percentage rate. It's the result of multiplying the interest expense by the tax rate. Assuming a company has $2,000,000 in debt and pays 9% interest, it will incur $180,000 in interest payments. If the tax rate is 30%, this results in:
Thus $54,000 stays in the company rather than going to the tax authorities. The tax benefit is only beneficial if the company actually has a tax bill to pay. For young companies with losses there are no taxable income that can be deducted so after-tax debt costs equal before-tax debt costs until the company makes profits.
Why and for what are post-tax costs used?
Because tax deductions can only reduce the tax burden and cannot increase it, after-tax costs can never be higher than pre-tax costs. The higher the tax rate is, the larger the difference between them will be. This is why finance teams compare projects on an after-tax basis, and why debt often looks cheaper than issuing new equity since dividends from equity are not deductible.
This value is directly used for the calculation of WACC (Weighted Average Cost of Capital) and investment decisions. If the expected return on a project financed with debt is higher than the after-tax cost of debt, it creates an added value. The same value also helps in risk assessment. An increase in the cost of debt indicates that lenders perceive a deterioration in the creditworthiness of the company.
How to get accurate results:
To get accurate results, use the marginal tax rate that applies to your next dollar of income instead of the average effective tax rate. This is because deductions only have a marginal effect. When spending on debt instruments, use current market prices rather than historical interest rates. This will take into account current market conditions in the cost. Also note that actual credit costs may be higher than simple interest due to fees and issuance costs. If these costs are significant, they must be included in pre-tax data.
This calculator is for general educational and planning purposes only, does not constitute tax or financial advice, and should not be relied upon as a substitute for the advice of a qualified professional. The tax treatment of interest may vary depending on jurisdiction and type of debt instrument.
Frequently asked questions
- How to calculate credit costs after tax?
The after-tax cost of debt is calculated by multiplying the pretax cost by (1 - marginal tax rate). For example, if the interest rate is 8 percent and the tax rate is 20 percent, then the result would be 8 percent times 0.8, which equals 6.4 percent.
- Why are credit costs after tax lower than before-tax?
Interest expense is tax deductible, which means that the payment of interest reduces a company's taxable income and its tax liability. This tax benefit offsets some of the cost of interest, so the actual cost is less than the stated rate. The higher the tax rate, the greater this difference will be.
- Should you use the marginal tax rate or effective tax rate?
Because the tax savings from deducting interest are marginal, the marginal tax rate should be used - that is, the rate on the next dollar of income. The average effective tax rate may understate this effect, particularly if tax brackets change with increasing income.
- How do you calculate the total cost of a debt using yield to maturity?
Determine the interest rate at which the present value of the coupon payments and principal is equal to the bond's current market price (this is the yield to maturity), then multiply this interest rate by (1 - tax rate). The market yield reflects the current credit conditions, so it provides a more accurate representation of pre-tax cost than the original stated coupon rate.
- What is a Tax Shield for a Business?
A tax shield is the income tax reduced by deductible expenses such as interest. In case of debt it equals to the product of the interest expense and the tax rate. Companies that do not make taxable profits receive no tax shield, so after-tax costs of debt equal pre-tax costs.
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Disclaimer: This calculator is provided for general informational and educational purposes only. Our calculators are under active development, and results may be inaccurate, incomplete, or unsuitable for your situation. Always verify the figures independently and seek advice from a qualified professional before relying on them. We make no warranties and accept no liability for any loss or decision arising from use of this tool.
References
- Investopedia: Cost of Debt
How the pre-tax and after-tax cost of debt fit into WACC.
- IRS Topic No. 505, Interest Expense
Which interest is deductible for tax purposes.