autocall differences. disparities between autocall headline coupon rates introduction credit in...
TRANSCRIPT
Autocall differences
Disparities between autocall headline coupon rates
Introduction
Credit in context
Autocall components
Funding
Estimating the Zero-Coupon Bond
Funding methods and assumptions
Cost of coupons
Optionality
What is ‘pin-risk’?
Delta
Volatility
Explanation of disparities between trading desks / issuers
Appendix – full methodology of different funding assumptions
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Introduction
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Autocall market - size
Over two-fifth of Catley Lakeman business
Autocall market – payoffs
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Market participants comfortable with the many autocall iterations
Step-down autocall barriers
Flat autocall barriers
Counterparty Credit Suisse
Underlying Indices Multi-index
Currency GBP
FTSE 100/EuroStoxx (worst-of)
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Credit since financial crisis
Since the financial crisis the credit spreads of banks have compressed.
Autocall component parts
FIRST STEPBuy Zero Coupon Bond from Bank
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Component 1: Long a zero coupon bond, the duration of which is dependent on when or if the
structure autocalls.
Component 2: Long a strip of escalating coupons, payment of which are contingent on the
FTSE 100 index being above pre-defined levels.
Component 3: Short a knock-in put which gives the investor some downside risk. This
downside risk disappears in the event of an autocall.
As with all Structured Notes, the Zero-coupon Bond [ZCB] will be the important component
when considering funding.
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100.0Index
108.2
100%
Yr 1
95%
116.4Yr 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
As with all Structured Notes, the Zero-coupon Bond [ZCB] will be the important component when considering funding
Funding
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Breaking down the Autocall components and revealing the ZCB leads us nicely to the implication of
funding to the terms of an autocall.
How much of an investor’s 100p investment goes into a variable maturity Zero-coupon bond?
Depends on the Autocall!
Example:
Estimating the Zero-Coupon Bond
Underlying indices FTSE 100 / EuroStoxx 50 (worse-of)
Snowball return [X] snowball coupon
Autocall barriers
1st anniversary 100%
2nd anniversary 95%
3rd anniversary 90%
4th anniversary 85%
5th anniversary 80%
6th anniversary 75%
Soft capital protection65% of initial (observed at maturity only)
Currency GBP
Maturity 6 year maximum
The important factor is when is the ZCB expected to mature
Expected Life!
Only the barrier levels are important for the maturity date (in conjuction with which underlying’s are used of course!) – it will either autocall early or go to it’s full 6 year term.
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Estimating the Zero-Coupon Bond
Underlying indices FTSE 100 / EuroStoxx 50 (worse-of)
Snowball return [X] snowball coupon
Autocall barriers
1st anniversary 100%
2nd anniversary 95%
3rd anniversary 90%
4th anniversary 85%
5th anniversary 80%
6th anniversary 75%
Soft capital protection65% of initial (observed at maturity only)
Currency GBP
Maturity 6 year maximum
‘Expected life’ or average life/maturity of the autocall
3.23 years in the case of our example, as of July 2015 pricing
What if we estimate our ZCB element as being 3.23 years in maturity?...
Zero-Coupon Bond
Expected maturity 3.23 years
No. of days 1180
Start 30th July 2015
End 22nd October 2018
Capital/ZCB 95.46%
Present Value of receiving 100p invested
The question now is how do we discount the ZCB to ascertain funding pickup from the various Issuer’s?
Funding methods & assumptions
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To put funding and CDS levels into context, this graph show the 2 year CDS reference levels for our main issuers (RBC excluded here as it does not have a Bloomberg listed CDS reference).
2 year CDS as an approximation of shorter term credit (remember our autocall does not have an expected life of years at inception)
Funding methods & assumptions
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Let’s consider two hypothetical banks, one that funds near to a high average CDS and one that funds near to a low average CDS as measured by the CDS graph.
Hypothetical Bank 1 – funding at 0.60% 2 years
Hypothetical Bank 2 – funding at 0.30% 2 years
Funding methods & assumptions
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Funding levels and probabilities of maturities of an autocall described above.
Year Example funding spread of “higher” CDS
Example funding spread of “lower” CDS
Probability of autocall Probability trade still live
1 year* 0.50% 0.20% 39.91% 100%
2 year 0.60% 0.30% 16.68% 60.09%
3 year* 0.70% 0.40% 8.06% 43.41%
4 year* 0.80% 0.50% 5.20% 35.35%
5 year* 0.90% 0.60% 3.49% 30.15%
6 year* 1.00% 0.70% 3.00% 26.66%
*assumed funding curve extrapolated linearly for terms away from 2 year CDS for illustrative purposes
Expected life 3.23 years
These are inferred from the Autocall pricing models
Funding methods & assumptions
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Funding levels and probabilities of maturities of an autocall described above.
1.1 year funding rate across the entire life of the trade – most conservative.
2.“Step-up” funding – more aggressive.
3.Fund to “Expected Life” – more aggressive.
Year Example funding spread of “higher” CDS
Example funding spread of “lower” CDS
Probability of autocall Probability trade still live
1 year* 0.50% 0.20% 39.91% 100%
2 year 0.60% 0.30% 16.68% 60.09%
3 year* 0.70% 0.40% 8.06% 43.41%
4 year* 0.80% 0.50% 5.20% 35.35%
5 year* 0.90% 0.60% 3.49% 30.15%
6 year* 1.00% 0.70% 3.00% 26.66%
*assumed funding curve extrapolated linearly for terms away from 2 year CDS for illustrative purposes
Expected life 3.23 years
**see appendix for full details of funding calculations**
Funding methods & assumptions
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Summary
Funding method‘Higher’ CDS Bank pick-up
‘Lower CDS Bank pick-up
Difference
1st Autocall 1.48% 0.59% 0.89%
Step-Up 1.99% 1.10% 0.89%
Expected life 2.34% 1.37% 0.97%
What can we take from this summary of funding methods?
Whilst credit does indeed appear tight, the varying methods of applying funding levels by an issuer make more of an impact to the discount of the ZCB than you may initially assume.
Taking the difference between our hypothetical banks – the difference between them is as much as 1.75% (2.34 – 0.59%)
Cost of coupons
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We have quantified a difference in funding as an “up-front” equivalent. We can quantify what this means in extra autocall coupon.
Our example 5% dropping FTSE/EuroStoxx dual index autocall:
1% extra UF discount to the ZCB will buy an extra 0.67% autocall coupon.
Funding method‘Higher’ CDS Bank pick-up
‘Lower CDS Bank pick-up
Difference
1st Autocall 1.48% 0.59% 0.89%
Step-Up 1.99% 1.10% 0.89%
Expected life 2.34% 1.37% 0.97%
>>> Our hypothetical banks have a maximum difference of 1.75% if they use different funding methods, doesn’t sound a lot, but this would translate into an extra 1.17% per annum to the autocall coupon headline rate! Not insignificant in the grand scheme of yields and market levels!
Optionality
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What is ‘pin-risk’?
Delta
Volatility
‘Pin-risk’ – best described with an example.
Feb-11 May-11 Aug-11 Nov-11 Feb-1280.00%
85.00%
90.00%
95.00%
100.00%
105.00%
110.00%
Year one autocall of SG 297 FTSE Defensive Autocall (10.17%)
Feb-11 May-11 Aug-11 Nov-11 Feb-1280.00%
85.00%
90.00%
95.00%
100.00%
105.00%
110.00%
Year one autocall of SG 297 FTSE Defensive Autocall (10.17%)
Optionality
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What is ‘pin-risk’?
Delta
Volatility
‘Pin-risk’ – best described with an example.
On the year one autocall observation date, the FTSE was trading very close to the trigger level. As it happened, the close of business level was enough to cause an autocall event, by just 15 FTSE points!
Optionality
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What is ‘pin-risk’?
Delta
Volatility
The VIX is the market’s expectation of the future 30 day rolling S&P 500 index volatility
As is always the case for derivatives, volatility (both realised and implied) is quoted as an annualised volatility figure.
For example, if the VIX is trading at 13, this implies roughly a 0.81% average daily move over the next 30 days of the S&P 500.
...not likely to be relevant to most Structured Notes!..
...remember our autocall example is linked to the FTSE and the EuroStoxx, with an expected life of >3years.
Optionality
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What is ‘pin-risk’?
Delta
Volatility
Investors in an Autocall are “short” volatility
Bank therefore is naturally long volatility that it must sell
Dynamics between spot levels and therefore differing probabilities of autocall maturity and payoffs, means that this nature of hedging volatility is also very dynamic
Optionality
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What is ‘pin-risk’?
Delta
Volatility
The price of the autocall must take into account the cost of hedging the future changes in the implied volatility impact on an autocall.
There is interplay between spot movements and the volatility profile that trading desks have to hedge. For example, if from strike, spots move down quickly, the expected life of the autocall increases as the larger autocall coupons in the later anniversaries become more probable to be activated (more likely to miss year one’s autocall). These larger coupons, especially if the autocall barriers are set at lower than strike levels, will exhibit a higher level of volatility hedging by virtue that they are larger coupons.
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Explanation of disparities between trading desks/issuers
If we consider a world in which there exists two issuers pricing an autocall:
Issuer 2’s trading desk:
Large and establishedautocall book that it is currently hedging.
Large variation in strike levels, strike dates and differing autocall barriers.
Active in a number of other derivative flow Markets
Recently sold an Out-the-money Put option to a large pension fund.
Issuer 1’s trading desk:
No existing positions on the book.
Has to incorporate more hedgingcosts.Less competitive Autocall coupon.
Has overlapping Autocalls, overall book is easier to neutralise risk.More competitive Autocall coupon.
Day one price of an Autocall must reflect the cost of hedging through its life. Remember the ‘discontinuities’ (e.g. Digital pin-risk) associated with hedging an Autocall Issuer 2’s trading book has less overall discontinuity due to the overlapping individual
Autocalls that make up the book. >>> less discontinuity risks that need to be neutralised. Issuer 1’s trading book requires the full discontinuity to be neutralised in total.
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