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# The New Paradigm for OTC Valuation

The world of **derivatives** valuation has been forever changed. Prior to the credit crisis, valuation of vanilla OTC derivatives was well understood. There was little variation between implementations and results across the market were generally consistent. Valuation ignored the effects of counterparty credit and liquidity as their effects were negligible. Based on the well accepted principles of risk-neutral valuation, the value of a derivative was the expected present value of future cash-flows under the risk neutral measure.

*Rohan Douglas, Quantifi*

Expected future cash flows were discounted at **LIBOR**, which was the market standard proxy for the risk free rate. During the credit crisis, credit and liquidity issues drove apart formerly closely related rates. The effect of counterparty credit on valuation and risk management dramatically increased. Existing modelling and infrastructure no longer worked and a rethink from first principles took place.

**[For more on how the derivatives market is changing, read: Four Years Later, 'Change' Still the Key Word in OTC Derivatives Market.]**

Discounting at LIBOR no longer reflected the market reality. Credit, liquidity and the cost of funding needed to be taken into account, but their impacts on the markets are not straightforward. In addition, new regulatory mandates require vanilla OTC derivatives to be cleared through **central counterparty clearing** houses (CCPs). Each of these challenges has been addressed in related but different ways by the market. The result is a new paradigm for OTC derivative pricing.

**Credit**

Some derivatives traded are collateralized under a CSA and some are uncollateralized. Uncollateralized trades carry the risk that the counterparty may default on their obligations. Where trades can be netted, the counterparty risk depends on all trades with that counterparty. collateralization reduces this risk but does not completely eliminate it. In fact collateralization may only remove 60% of the counterparty risk in some cases.

For both collateralized and uncollateralized derivatives, the effect of counterparty risk cannot be measured at the individual trade level but needs to be calculated at the netting set level. The standard market approach to solving this problem is to calculate the expected loss from counterparty default at the netting set level, using expected exposures (EEs) from American Monte Carlo (AMC) and to allocate this loss to individual trades as a credit valuation adjustment (CVA).

The measurement and management of counterparty risk is something that now impacts all market participants. Accurate valuation of OTC products requires accurate valuation of the credit component of each transaction. In addition, regulatory initiatives such as Basel III and Solvency II, along with accounting rules such as ASC 820 (FAS 157), IAS 39 and IFRS 13 have mandated more accurate counterparty risk valuation and management.

**Funding (Discounting) **

Prior to the credit crisis, LIBOR was used by most market participants as a proxy for the discount rate. As credit spreads widened, the credit component of LIBOR became significant and LIBOR no longer worked as a proxy. The market has moved to Overnight Index Swap (OIS) rates as a better proxy for the discount rate.

Expected future cash-flows are discounted using the appropriate OIS rate for the trade. This separation between the rates used to project cash flows for floating rate legs and the rates used to discount these expected cash flows, is referred to as dual curve pricing or OIS discounting.

Calibration using dual curve pricing can be challenging and is orders of magnitude more complex than the legacy single curve pricing approach. Valuing a single currency vanilla interest rate swap involves calculating forward rates based on Euribor rate curves and discounting expected cash flows using Eonia rates. As in the single-curve case, these curves are calibrated from liquid interest rate products. For the EUR curves this includes money market securities, futures, FRAs, IONA swaps, basis swaps and interest rate swaps. The process is complicated, however, by changes to the modelling principles around calculating the expected forward rates.

These forward rates must be conditional on the EONIA rates used for discounting. In addition there can be complex co-relationships between the discount and projection curves. Simultaneous calibration will work but is too slow for sensitivities.

**Funding (Central Clearing) **

The introduction of central clearing and the reduction in hypothecation means that the cost of funding a derivative has grown. For derivatives cleared through a central clearing house (CCP), collateral posted earns the OIS rate. There is an asymmetry between the return earned on collateral posted and the cost of that collateral to the bank. This funding cost can be significant for some derivatives. The standard market approach is similar to CVA and is to measure the expected cost of funding at the netting set level using PFEs from AMC and to allocate this cost to individual trades as a funding valuation adjustment (FVA).

**Conclusion**

A new generation of interest rate modeling is evolving. An approach based on dual-curve pricing and integrated CVA and FVA has become the market consensus. There is clear evidence that the market for interest rate products has moved to trading on this basis, but not all market participants are at the stage where existing legacy valuation and risk management systems are up to date. The changes required for existing systems are significant and present many challenges in an environment where efficient use of capital at the business line level is becoming increasingly important.