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How Taxes Affect a Bond’s Investor-Specific Net Present Value

Article Quant Q&A · Author: StackExchangeDisplayName

Summary

This discussion asks why a bond with a market price of 150 might seem unattractive to an investor who expects to receive only 135 after taxes. The example assumes a five-year, risk-free bond with a 10% coupon and zero rates, then compares the bond’s purchase price with its after-tax cash flows. The key distinction is between the bond’s market value and an investor’s tax treatment: the market price reflects the bond’s value before considering that particular holder’s taxes.

The answer argues that buying the bond at fair value does not itself create a taxable gain or loss. Under a reasonable accounting treatment, the purchase price establishes the bond’s basis, and tax is assessed on later taxable income or gains rather than by treating all future coupon cash flows as a standalone project whose after-tax present value is compared with the original price. The brief response does not explain specific tax rules, accounting methods, or how different jurisdictions tax coupon income and capital gains, so it is a conceptual clarification rather than tax advice.

Key ideas

  • A bond’s market value and an investor’s after-tax valuation answer different questions.
  • Buying an asset at fair market value does not by itself create a taxable profit or loss.
  • Tax analysis should account for the asset’s purchase basis and applicable rules for future income and gains.

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Full text
# Dumb question / thought - bonds and taxes


# Dumb question / thought - bonds and taxes












This is probably a very dumb question and can extend to non-bond securities but bonds were the simplest example of this:

For simplicity's sake just assume rates are zero and a there is a 10% coupon 5 year risk free bond.

Then the value today is 150 = 10 + 10 + 10 + 10 + (10+100). So this is the value I can buy it at on the market.

However if I think about it from a corporate finance/NPV perspective as if these were the cash flows from some investment, if my tax rate is 30% then the NPV of the bond once I hold it is 135 = 7 + 7 + 7 + 7 + (7 + 100).

So when considering the cash outlay the NPV is 135 (from the cash flows) - 150 (from initial investment) = -15. In other words I'd be investing 150 to only receive 135 in net cash flows on a net present value basis, so the net present value of this transaction to me is -15. Why would I do this?

I suspect I am missing something very fundamental here in terms of mixing up an NPV style analysis with market valuations.

An extension of this - if I held a portfolio where the NPV was 135 and the market price quoted was 150, should I remove the taxes from the NPV calculation as the market price does not incorporate taxes?

## Answer by Wei (score 1)

https://quant.stackexchange.com/a/80371

The business paid 150 for a bond worth 150, so its net PnL is zero and so it should pay zero tax. At least, this would be the case under any reasonable accounting methodology! What the bond actually "does" in the future is less relevant.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.