Building an Autocall Catley Lakeman Winter Offsite – January 2014.
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Transcript of Building an Autocall Catley Lakeman Winter Offsite – January 2014.
Building an Autocall
Catley Lakeman Winter Offsite – January 2014
INTRODUCTION
“I believe each contract we own was mispriced at inception,
sometimes dramatically so. I both initiated these positions and
monitor them. If we lose money on our derivatives, it will be
my fault.”
Warren Buffett – BH annual letter to investors, 2008
2
Probabilities
3
Index Performance over 6 years
“Derivative Market” ProbabilityFTSE only*
“Derivative Market” Probability
FTSE / S&P*
More than 70% fall 8.07% 12.53%
60% to 70% fall 3.14% 4.47%
50% to 60% fall 3.70% 5.36%
40% to 50% fall 5.47% 6.49%
30% to 40% fall 7.39% 7.37%
20% to 30% fall 9.24% 8.78%
10% to 20% fall 10.93% 9.71%
Flat to 10% fall 10.85% 9.74%
Positive performance 41.21% 35.55%
* Based upon CLS pricing models as at 30th December 2013
What can you buy?
Currently Possible:
• FTSE / S&P 500 Defensive Autocall
• 8.2% per annum potential return
• Soft protection at 60%, observed at maturity only
Autocall barriers:
Year 1: 100%
Year 2: 95%
Year 3: 90%
Year 4: 85%
Year 5: 80%
Year 6: 75%
4
In Pictures
5
100.0Index
108.2
100%
Yr 1
95%
116.4
Yr 2
124.6
90%
Yr 3
132.8
85%
Yr 4
141.0
80%
Yr 5
59.99
60%
149.2
75%
Yr 6
0
In Numbers
6
Year Discount Factor
Prob of autocall
Return Current Value of Coupons
Prob of ZCB
return
Current Value of
ZCB
Put Price
Total Price
1 99.36% 45.06% 8.2% 3.67% 45.06% 44.78%
2 98.39% 16.89% 16.4% 2.73% 16.89% 16.62%
3 96.63% 8.16% 24.6% 1.94% 8.16% 7.89%
4 94.12% 5.09% 32.8% 1.57% 5.09% 4.79%
5 91.19% 3.46% 41.0% 1.29% 3.46% 3.16%
6 88.05% 2.59% 49.2% 1.13% 21.33% 18.78%
Total 12.33% 96.01% 9.34% 99.00%
The model gives a 15.33% probability of the put knocking in
In Building Blocks
7
Index100.0
108.2
100%
Yr 1
8.2
100%91.8% Index0.0
Building Block 1 = Strip of digital options ≈ Strip of call spreads
Trader buys a lot of 1 year call spreads, fewer 2 year, etc
In Building Blocks
8
100.0Index
0
59.99
60% 75%
Building Block 3 = Knock-In Put
Trader sells puts at strike and barrier at different maturities
Building Block 2 = Strip of zero coupon bonds
Trader buys a lot of 1 year zcbs, fewer 2 year, etc
Summary
9
• Probabilities are key, to all derivative pricing
• Buy an autocall, you are short volatility
• Small probability of calling in later years
• When markets move the expected life changes!
The information in this document is derived from sources believed to be reliable but which have not been independently verified. Catley Lakeman Securities makes no
guarantee of its accuracy and completeness and is not responsible for errors of transmission of factual or analytical data, nor is it liable for damages arising out of any
person’s reliance upon this information. All charts and graphs are from publicly available sources or proprietary data. The opinions in this document constitute the
present judgment of Catley Lakeman Securities, which is subject to change without notice. This document is neither an offer to sell, purchase or subscribe for any
investment nor a solicitation of such an offer. This document is intended for the use of institutional and professional customers and is not intended for the use of
private customers. This document is not intended for distribution in the United States of America or to US persons. This document is intended to be distributed in its
entirety. No consideration has been given to the particular investment objectives, financial situation or particular needs of any recipient.
Catley Lakeman Securities is a LLP registered in England and Wales, Registered Office : One Eleven Edmund Street, Birmingham, B3 2HJ. Registration
Number: OC336585, FSA Reference: 484826
DISCLAIMER
10
BUILDING BLOCKS
11
100.0Index
108.2
100%
Yr 1
95%
116.4
Yr 2
124.6
90%
Yr 3
132.8
85%
Yr 4
141.0
80%
Yr 5
59.99
60%
149.2
75%
Yr 6
BUILDING BLOCKS
12
100.0Index
108.2
100%
Yr 1
95%
116.4
Yr 2
124.6
90%
Yr 3
132.8
85%
Yr 4
141.0
80%
Yr 5
59.99
60%
149.2
75%
Yr 6
BUILDING BLOCKS
13
100.0Index
108.2
100%
Yr 1
95%
116.4
Yr 2
124.6
90%
Yr 3
132.8
85%
Yr 4
141.0
80%
Yr 5
59.99
60%
149.2
75%
Yr 6