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MARKET MOVER - BNP PARIBAS - Investment Services India

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US: A Carry Trade with Extra Potential<br />

• After the FOMC statement, the question<br />

arises once again about a Japan-like scenario.<br />

• We explore a carry trade with a few added<br />

kickers in case the swap and vol curves start<br />

to evolve the way they did during the<br />

beginning of Japan’s experience.<br />

• STRATEGY: Buy 4y1y vs selling 2y1y<br />

receivers, both 50bp OTM and equal notionals.<br />

Holding period is up to one year.<br />

As the front end continues to richen, the carry on<br />

offer keeps getting compressed. What should one<br />

do, since the latest FOMC statement reinforces the<br />

idea that this strategy can still be profitable?<br />

One approach would be to analyse various different<br />

long positions and hunt down the best carry or alpha.<br />

Another approach we explore here is to find a<br />

rolldown strategy that has a few added kickers in<br />

case the vol surface and swap curve start to evolve<br />

the way they did during the beginning of Japan’s<br />

experience.<br />

Rather than simply buying receivers, the trade is to<br />

buy 4y1y vs selling 2y1y receivers (both 50bp OTM,<br />

same notionals). This way, one can capitalise on<br />

the spread between these two forward rates and<br />

also the vol ratio, if we stay mired in the low rate<br />

environment for a while. As we show later, this is<br />

where we see the asymmetric risk that helps the<br />

trade when considering the beginning of Japan's<br />

experience.<br />

Table 1 shows the exact trade details and greeks.<br />

The current entry cost is 27.5c and after one year<br />

the position gains 40% (see Chart 1 for PnL<br />

profile). The rolldown is partly due to positive theta,<br />

but mainly due to the 2y1y leg having a steeper vol<br />

rolldown than the 4y1y. Chart 2 shows that the<br />

2y1y/4y1y vol ratio of around 90% drops sharply to<br />

70% after one year. In Japan, the ratio is 50%.<br />

Since the 4y1y rate is currently 10-20% more volatile<br />

than 2y1y, this makes the position trade like a long<br />

on the market since the 4y1y receiver leg will move<br />

more. Another feature which makes the trade<br />

directional is that the vol ratio tends to fall in a rally –<br />

helping the position – while rising in a selloff (see<br />

Chart 3 for relationship).<br />

250%<br />

200%<br />

150%<br />

100%<br />

50%<br />

0%<br />

Chart 1: PnL Profile Under Rate Shifts<br />

1y Holding<br />

Instantaneous<br />

-50%<br />

-75 -50 -25 0 25 50 75<br />

Change in 5y Rate (with beta-implied curve movement)<br />

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

Chart 2: Sharp Rolldown in Vol Ratio over 1y<br />

140%<br />

130%<br />

120%<br />

110%<br />

100%<br />

90%<br />

80%<br />

70%<br />

2y1y over 4y1y USD Vol Ratio<br />

1y1y over 3y1y USD Vol Ratio<br />

60%<br />

Jan-06 Dec-06 Nov-07 Oct-08 Oct-09 Sep-10<br />

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

Chart 3: Vol Ratio has been Directional to Rates<br />

110%<br />

105%<br />

100%<br />

95%<br />

90%<br />

85%<br />

Jan-10 Feb-10 Apr-10 May-10 Jul-10 Sep-10<br />

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

2y1y over 4y1y USD Vol Ratio<br />

4y1y USD Rate (right scale)<br />

5.0<br />

4.5<br />

4.0<br />

3.5<br />

3.0<br />

2.5<br />

2.0<br />

Suvrat Prakash 23 September 2010<br />

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

21<br />

www.GlobalMarkets.bnpparibas.com

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