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EUR: Buy 3m5y Straddle vs 3m10y Straddle<br />

• The 3m5y/3m10y implied volatility ratio is<br />

currently hovering around 0.97, having almost<br />

monotonically increased from around 0.86 in<br />

mid- December<br />

• We expect the implied ratio to increase<br />

further. Also, we expect gamma 5y options to<br />

deliver more volatility in the context of<br />

heightened concern over inflation.<br />

• STRATEGY: Buy 3m5y straddle vs 3m10y<br />

straddle.<br />

Table 1: Implied/Rls vs (3M)<br />

1y 2y 5y 7y 10y 20y 30y<br />

1m 147% 115% 115% 113% 112% 112% 111%<br />

3m 131% 119% 103% 112% 110% 111% 109%<br />

6m 115% 119% 107% 108% 107% 108% 105%<br />

1y 115% 115% 104% 104% 101% 100% 97%<br />

3m5y implied volatility is hovering around 85bp<br />

whereas 3m10y implied volatility is around 88bp.<br />

Indeed, the 3m5y/3m10y implied volatility ratio is<br />

hovering around 0.97, having almost monotonically<br />

increased from around 0.86 in mid-December<br />

In the meantime, 3m5y volatility is currently<br />

delivering more than 3m10y volatility over a threemonth<br />

horizon (Table 1). At the ECB’s January press<br />

conference, there was a hawkish shift in the<br />

assessment of inflation risk. After some dovish<br />

remarks by the ECB’s Orphanides, expectations<br />

have stabilised at one 25bp rate hike by year-end.<br />

However, the debate on inflation in the eurozone is<br />

gradually taking centre stage. At the current level of<br />

rates, the risk of the market pricing in a tighter<br />

monetary policy in the short term is significant, in our<br />

view. In fact, the latest hawkish comments by ECB<br />

Stark on Wednesday are telling. In his view, both “the<br />

global economy and the Euro region recovered faster<br />

than thought”, and it is “important that the emergency<br />

measures remain temporary”. Against this backdrop,<br />

we expect the 5y swap to deliver more volatility than<br />

the 10y going forward. Accordingly, we like long<br />

(dynamic) gamma positions on the 3m5y point vs the<br />

3m10y point.<br />

Source: <strong>BNP</strong> Paribas<br />

Chart 2: 3m5y/3m10y Implied Vol Ratio vs Refi<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

Jan-<br />

05<br />

Jul-<br />

05<br />

Refi<br />

Jan-<br />

06<br />

Source: <strong>BNP</strong> Paribas<br />

EUR 3m5y/3m10y Implied Vol Ratio (RHS)<br />

Jul-<br />

06<br />

Jan-<br />

07<br />

Jul-<br />

07<br />

Jan-<br />

08<br />

From a vega risk perspective, a further increase in<br />

the 3m5y/10y ratio is consistent with a higher interest<br />

rate regime and/or monetary policy normalisation by<br />

the ECB (Chart 1).<br />

Table 2 shows our preferred trade construction for a<br />

long position in the 3m5y/3m10y swaption spread.<br />

Jul-<br />

08<br />

Jan-<br />

09<br />

Jul-<br />

09<br />

Jan-<br />

10<br />

Jul-<br />

10<br />

1.4<br />

1.3<br />

1.2<br />

1.1<br />

1.0<br />

0.9<br />

0.8<br />

Jan-<br />

11<br />

Table 2: Trade Construction<br />

Notional<br />

Implied<br />

ATMF rate Premium PV PV01 Gamma Vega<br />

(EUR mn)<br />

Vol<br />

BE vol Theta/d Theta (EUR)<br />

Buy 3m5y Straddle 186 2.81 156 2,897,936 4,581 16,636 291,451 85 5.4 -1.2 -22,602<br />

Sell 3m10y Straddle -100 3.43 290 -2,898,583 -2,942 -15,581 -291,228 88 5.5 2.3 22,607<br />

-647 1,639 1,056 223 5<br />

Source: <strong>BNP</strong> Paribas<br />

Matteo Regesta 20 January 2011<br />

<strong>Market</strong> Mover, Non-Objective Research Section<br />

47<br />

www.Global<strong>Market</strong>s.bnpparibas.com

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