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A Bond Consistent Derivative Fair Value
Pricing of Securities · Submitted 22 Jun 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices.
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The abstract, sentence by sentence
In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices. Traditionally, there have been differences in how instruments with similar cash flow structures have been priced if their definition falls under that of a financial derivative versus if they correspond to bonds, leading to possibilities such as funding through derivatives transactions. Furthermore, the problem has not been solved with the recent introduction of Funding Valuation Adjustments in derivatives pricing, and in some cases has even been made worse. In contrast, our proposed equation is not only consistent with fixed income assets and liabilities, but is also symmetric, implying a well-defined exit price, independent of the entity performing the valuation. Also, we provide some practical proxies, such as first-order approximations or basing calculations of CVA and DVA on bond curves, rather than Credit Default Swaps.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices. | contribution 1.00 | 0.95 | 0.76 | asserted 0.92 |
| s1 | Traditionally, there have been differences in how instruments with similar cash flow structures have been priced if their definition falls under that of a financial derivative versus if they correspond to bonds, leading to possibilities such as funding through derivatives transactions. | background 0.98 | 0.04 | 0.03 | asserted 0.63 |
| s2 | Furthermore, the problem has not been solved with the recent introduction of Funding Valuation Adjustments in derivatives pricing, and in some cases has even been made worse. | gap 0.76 | 0.06 | 0.04 | asserted 0.91 |
| s3 | In contrast, our proposed equation is not only consistent with fixed income assets and liabilities, but is also symmetric, implying a well-defined exit price, independent of the entity performing the valuation. | contribution 0.63 | 0.92 | 0.54 | asserted 1.00 |
| s4 | Also, we provide some practical proxies, such as first-order approximations or basing calculations of CVA and DVA on bond curves, rather than Credit Default Swaps. | contribution 0.63 | 0.90 | 0.05 | asserted 0.99 |
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The paper
Original abstract
In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices. Traditionally, there have been differences in how instruments with similar cash flow structures have been priced if their definition falls under that of a financial derivative versus if they correspond to bonds, leading to possibilities such as funding through derivatives transactions. Furthermore, the problem has not been solved with the recent introduction of Funding Valuation Adjustments in derivatives pricing, and in some cases has even been made worse. In contrast, our proposed equation is not only consistent with fixed income assets and liabilities, but is also symmetric, implying a well-defined exit price, independent of the entity performing the valuation. Also, we provide some practical proxies, such as first-order approximations or basing calculations of CVA and DVA on bond curves, rather than Credit Default Swaps.
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How the literature uses it
1 arXiv paper cite this in 3 sentences
What it cites · 10 sentences without a confident label
Builds on 1 paper
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To do so, we will study a derivatives transaction and its replication building upon the setup described in [ref] and [ref] , but with the important new ingredient being the adoption of the Credit- and Debit Constraints [ref] and [ref], respectively, which enforce the consistency of derivative- and bond valuations.
Recovering from Derivatives Funding: A consistent approach to DVA, FVA and Hedging · A formal derivation of the pricing formula · 0.96
Compares with 1 paper
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Such a dependence was first proposed in [ref] , and in [ref] we arrived at a similar result by different means, although we do not believe that the accounting mismatch is irreconcilable.
Recovering from Derivatives Funding: A consistent approach to DVA, FVA and Hedging · Incorporating own bond-CDS basis · 0.89
Cites as support 1 paper
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But this component does exist and, as shown in [ref] , has a well-defined value even for the institution considered as a going concern.
Recovering from Derivatives Funding: A consistent approach to DVA, FVA and Hedging · A formal derivation of the pricing formula · 0.99
Cites as background 3 papers
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For an example of the treatment of collateralization in a funding framework, see [ref] .
Funding Valuation Adjustment: a consistent framework including CVA, DVA, collateral,netting rules and re-hypothecation · Partially Collateralized Derivatives · 0.90
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For an example of the treatment of collateralization in a funding framework, see [ref] .
Funding, Collateral and Hedging: uncovering the mechanics and the subtleties of funding valuation adjustments · Partially Collateralized Derivatives · 0.90
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For a technical account of these subjects see [ref] , or the textbooks [ref] .
Bilateral counterparty risk valuation for interest-rate products: impact of volatilities and correlations · Introduction and Final Pricing Formula · 1.00
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