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Market Outlook - BNP PARIBAS - Investment Services India

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This section is classified as non-objective researchEUR: Forward Vol is Cheap• Risk aversion is supporting implied volatilityand exerting downward pressure on the slopeof spot implied volatility term structures. In turn,inverted spot volatility term structures havepushed forward volatilities to attractive buyinglevels.• Strategy: Buy 1y10y5y via a swaptiontriangle.Chart 1: 5y Swap Forward Vol Term StructuresCharts 1 and 2 show forward implied volatility termstructures modelled using a Hull-White basedmodelling approach. Indeed, forward volatility ismodel dependent with price being a function of futureATMF dynamics and smile rolling effect on thehedged forward straddle. In the charts the forwardlag is on the x-axis and implied volatility is on they-axis. The starting points of the curves ("spot" labelon x-axis) show standard (spot) implied volatilities.Source: <strong>BNP</strong> ParibasChart 2: 20y Swap Forward Vol Term StructuresThe charts illustrate the curves that are the mostinteresting currently, limiting the analysis to 1yforward volatilities’ attractive cheap forward points,which can be sensibly replicated (purchased) viaswaption triangles.On the 5y underlying, the sweet spot is the 1y10y5y(i.e., 10y5y implied volatility 1 year forward): the pointis 39bp cheaper than 10y5y implied volatility! Thisspread is clearly an accurate measure for the carry ofthe position. Analogously, on the 20y underlying, thesweet spot is the 1y6y20y point, which is 39bpcheaper than spot.Source: <strong>BNP</strong> ParibasChart 3: Breakdown of Forward Straddle intoThree Spot StraddlesForward swaption straddles as an asset class arecurrently not liquid/traded. However, they can bereplicated via swaption triangles (for more details,see “Forward Volatility for the Practical Man”,released in October). The basic idea is depicted inChart 3. For instance, the 1y10y5y straddle can bebroken down into the following three vanillastraddles:L: 1y15yS: 1y10y0Source: <strong>BNP</strong> ParibasLT Ts TeSUU: 11y5yAssuming the implied correlation between 1y10y and1y15y rate equals 1, it can be shown that therequired weights to replicate 100m notional on1y10y5y are w(L) = -63.4m, w(S) = 63.1m and w(U) =117.3m.Matteo Regesta 20 October 2011<strong>Market</strong> Mover38www.Global<strong>Market</strong>s.bnpparibas.com

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