Estimating Pre-Tax Cost of Debt Across Multiple Bond Issues
Summary
The document asks how to estimate a company’s pre-tax cost of debt when its borrowings include bonds with different coupon rates, maturities, and repayment schedules. The proposed method is to calculate the yield on each bond for the relevant fiscal year, then combine those yields using each bond’s market value as its weight. This gives greater influence to larger market-value debt positions in the company’s overall borrowing cost.
If bond market prices are unavailable, the answer suggests using a face-value-weighted average of coupon rates as a practical approximation. That fallback is less market-sensitive because coupons do not reflect current bond prices or yields. The answer is brief and does not specify yield calculation conventions, treatment of options, or how to handle installment repayments, so those details may matter when applying the method to the described bond mix.
Key ideas
- Estimate each bond’s yield for the period before aggregating borrowing costs.
- Weight bond yields by market value to calculate an overall pre-tax cost of debt.
- When market prices are unavailable, a face-value-weighted coupon average is a suggested approximation.
- Coupon weighting may differ from a yield-based estimate because it does not incorporate bond market prices.
- Bond features such as options and installment repayments may require additional calculation details.
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Full text
# How to calculate the pre-tax cost of debt for a mix of bonds allotted to a company? # How to calculate the pre-tax cost of debt for a mix of bonds allotted to a company? I need to calculate the effective interest rate a company X is paying on the total debt it has been loaned (to arrive at the Cost of Debt) for the FY 2011-12. Its long term borrowings are a mix of bonds that will be redeemed on different dates carrying different coupon rates as such: - 10,700 Bonds of face value of 1,000,000/- each, allotted on 10th September 2008, are redeemable at par on 10th September 2018. The bonds carry a coupon rate of 11.00 % p.a. payable annually on 15th September. - 14,150 Bonds of face value of 1,000,000/- each, allotted on 21st December 2011, are redeemable at par on 21st December 2016 with put/call option after 18 months from the date of allotment. The bonds carry a coupon rate of 9.28 % p.a. annually on 21st June each year. - 16,000 Bonds of face value of 1,000,000/- each, allotted on 11th December 2008, are redeemable at par on 11th December 2016. The bonds carry a coupon rate of 10.70 % p.a. payable annually on 30th June each year. - 158 Bonds of face value of 26,000,000/- each allotted on 18th July, 2001 are redeemable in 13 equal installments from the end of the 3rd year upto the end of 15th year from the date of allotment. Accordingly, 8th installment was paid in July 2011. The Bonds carry a coupon rate of 10.25% p.a. payable annually on 30th September. My question is, how do I arrive at the pre-tax Cost of Debt for this company, if it is to be calculated as the interest rate on its borrowings? ## Answer by emcor (score 0, accepted) https://quant.stackexchange.com/a/12899 For FY2012 you may calculate the yield on each bond, and then use marketvalue-weighted average to arrive at pre-tax cost of debt. If you dont have market prices, I would suggest face-weighted coupon average.
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