
Putting the H in XVAs
Barclays quant proposes methodology for factoring hedging costs into derivatives valuations
Dealers make various adjustments to the fair value of derivatives contracts to account for the credit risk, funding costs and capital requirements associated with these transactions. But, somehow, the cost of hedging has so far escaped the attention of XVA desks.
While it is standard practice to set aside ad hoc reserves to cover the cost of hedging, a formal mathematical formula for calculating these has been lacking. “Banks typically take transaction costs into account, but normally using just a heuristic approach,” says an XVA quant at a global bank.
This gap may now be filled. Ben Burnett, a director in the XVA quant team at Barclays Bank, proposes a hedging valuation adjustment (HVA) in his paper – HVA, fact and friction.
“The point of introducing the HVA is to try and improve the incentives for people to take into account these expected future costs upfront and promote a more sustainable business,” says Burnett.
To that end, the methodology needs to be easy enough to incorporate into existing frameworks without requiring fundamental changes in pricing models.
Burnett obtains the HVA by including transaction costs in the value of the derivatives book that is being hedged. The costs depend on the values of gamma in the portfolio and its variations, as well as the volatility of the assets. It is ultimately calculated by separating the risk neutral value from the adjustment value. “The approach is very much of the kind of standard XVA approaches, where we look at the cost as an adjustment to the original value,” he explains.
A similar technique can be used to calculate HVA for a portfolio that is not hedged. That is useful in case a bank wants to estimate the hedging costs over the life of the portfolio, without hedging the exposure itself.
Burnett’s approach is flexible enough to handle a variety of hedging strategies. One of the inputs sets the threshold of the portfolio delta beyond which re-hedging is triggered. The lower the value of that threshold, the more frequent – and costly – the re-hedging.
The point of introducing the HVA is to try and improve the incentives for people to take into account these expected future costs upfront and promote a more sustainable business
Ben Burnett, Barclays Bank
“Nobody, as far as I’m aware, has so far designed a model for transaction and hedging costs and built a valuation adjustment on them. It is innovative, although at the same time it uses arguments similar to those used for other valuation adjustments,” says the XVA quant at the global bank.
That’s surprising, given transaction costs have always played a big role in the P&L. So why now?
Burnett says last year’s market meltdown focused greater attention on hedging costs.
“It’s been exacerbated by the Covid crisis,” he says. “Whenever spreads blow out or there’s a drop in market liquidity, hedging gets much more expensive.”
Recent experience may also encourage adoption of HVA.
“Two factors might contribute to that,” says Yi Tang, head quant for XVA and structured solutions trading at Wells Fargo, “the industry awareness of this approach, and a market event that makes a rigorous calculation of hedging costs a priority.”
Tang spoke with Risk.net in a personal capacity and his view may not necessarily reflect those of Wells Fargo.
For now, HVA is a standalone measure. For it to be implemented, it’s crucial to incorporate it in a general XVA framework, where the interaction with the other valuation adjustments is modelled consistently. Burnett and his colleague Ieuan Williams have been working on incorporating it into a general XVA framework where it can be modelled consistently with other valuation adjustments. The pair also explored several sources of HVA and found that its size is comparable to that of the other valuation adjustments. A paper detailing their findings will soon be published in Risk.net’s Cutting Edge section.
Only users who have a paid subscription or are part of a corporate subscription are able to print or copy content.
To access these options, along with all other subscription benefits, please contact info@risk.net or view our subscription options here: http://subscriptions.risk.net/subscribe
You are currently unable to print this content. Please contact info@risk.net to find out more.
You are currently unable to copy this content. Please contact info@risk.net to find out more.
Copyright Infopro Digital Limited. All rights reserved.
You may share this content using our article tools. Printing this content is for the sole use of the Authorised User (named subscriber), as outlined in our terms and conditions - https://www.infopro-insight.com/terms-conditions/insight-subscriptions/
If you would like to purchase additional rights please email info@risk.net
Copyright Infopro Digital Limited. All rights reserved.
You may share this content using our article tools. Copying this content is for the sole use of the Authorised User (named subscriber), as outlined in our terms and conditions - https://www.infopro-insight.com/terms-conditions/insight-subscriptions/
If you would like to purchase additional rights please email info@risk.net
More on Our take
Korea’s ‘worst-of’ times are here to stay
Chinese houses’ success in Korean autocalls could stymie hopes of diversifying the product mix
Could intraday FX swaps help reduce settlement risk?
New swap platform hopes to ease funding pains, but can it promote more use of PvP?
Talking Heads 2023: A turf war in credit markets
Banks are looking to reclaim territory they previously ceded to market-makers and private funds
FX-style crypto platforms could bridge gap with TradFi
Emergence of execution-only ECNs, prime brokers and clearing houses brings new confidence in crypto
Skew this: taking the computational burden off basket options
Dan Pirjol presents a snap formula for estimating implied volatility skew in an instant
Shhh, don’t tell: the struggle to keep skew under wraps
Liquidity recycling by clients has made it more difficult for banks to keep skews quiet
How a machine learning model closed a hidden FX arbitrage gap
MUFG Securities quant uses variational inference to control the mid volatility of options
The AOCI elephant in the DFAST room
After March’s banking crisis, Fed stress tests should adopt harsher and wider ranging rate scenarios