The
following are available as Adobe Acrobat PDF files
(See also the Presentations page)
The Rise of
the Humans: The
Rise of the Humans
Comments on
the "New VIX"
With John Hiatt, published in Swiss Derivatives
Review July 2007 : New
VIX Paper
HedgeRepo
- Using Credit Derivatives as Repo Collateral
With Kumar Kakumanu and Moorad Choudhry, published in Derivatives Use, Trading and Regulation
(DUTR Volume 11, Number 1) June 2005 :
Hedge Repo Paper
Review of
Structured Notes Published in StructuredNotesOnLine.com, December 2004 : Structured
Notes Review
Innovations in Trading Strategies,
pre-conference summit at the ICBI Global Derivatives
and Risk Management Conference, 2003 - with multiple
authors.
Published in Quantitative Finance, August 2003 : Quantitative
Finance Paper
Merton's Model,
Credit Risk and the Volatility Skew, John
Hull, Izzy Nelken and Alan White.
Many financial institutions are profoundly interested in modeling the
credit risk of various counter-parties. Traditional models rely on the
stock price and stock volatility combined with knowledge of the
company's financial structure. In this paper, we show that using just
two option implied volatility numbers even without knowledge of the
company's financial structure gives better results. Thus
the paper connects two seemingly disjoint markets: the equity options
market and the credit derivatives market. Published in Journal of Credit
Risk, Volume 1, Number 1, Winter 2004/2005 : Credit
Derivatives Paper
Haircutting
the Hedge Funds, Hari Krishnan and Izzy
Nelken
Analysis of hedge funds on a historical basis is often misleading. Past
returns look very high and the risks very small. There are risks in these
funds that historical analysis can not account for. Many funds impose
a "lock up". The investor can not withdraw capital from the fund for
a pre-specified time (perhaps a year). There is a "liquidity premium" that
must be accounted for. In this paper, we show how to calculate the liquidity
premium.
Has been published in Risk Magazine , April 2003 : Hedge
Fund Paper
The Effect
Of Stock Pinning On Options Prices, Hari
Krishnan and Izzy Nelken
The process of “pinning” is frequently mentioned in stock traders' lore,
but its effect upon the price of an option is not well understood. Some
traders believe that on days when equity options expire (typically the
third Friday of a given month), many stocks seem to close near a multiple
of $5. In this paper, we give statistical evidence for the existence
of pinning and develop an option-pricing model that incorporates this
phenomenon. We conclude that, near expiration, there is a discrepancy
between the Black-Scholes price of an option and the price of an option
whose underlying stock has a higher than normal probability of being
pinned. We analyze the various cases (e.g., when the pinned price is
cheaper than the Black-Scholes price) and provide intuition for the price
discrepancies.
Published in Risk Magazine , December 2001 : Pinning
paper
Estimating Implied
Correlations for Currency Basket Options Using the
Maximum Entropy Method, Hari Krishnan
and Izzy Nelken
When valuing basket options of foreign currency, a major question is
estimating the correlation matrix. In this paper, we shall use entropy
as a means of choosing the correlation matrix which a. Matches the implied
volatility of the basket option, b. Resembles the historical correlation
matrix and c. Makes as few other assumptions as possible.
Published in Derivatives Use Trading and Regulation , Vol. 7, No. 3,
(2001) : Correlation
Paper
Japanese Reset Convertible Bonds, Izzy
Nelken
Japanese reset convertibles have received
some notoriety after the well publicized losses at
the Union Bank of Switzerland (see for example “UBS
to upgrade its derivatives losses to $421m”, Financial
Times, January 31, 1998).
In this paper, we discuss several advanced issues relating to Japanese “style” convertible
bonds. The convertible bonds, issued by several Japanese and Taiwanese
issuers (among others) have some unique features.
This paper will also mention two more interesting items relating to non-reset
convertibles:
1) The duration of a convertible bond.
2) How correlation impacts convertible securities : Convertible
Bonds Paper
Weather Derivatives
- Pricing and Hedging, Izzy Nelken
In this paper, we describe the Weather Derivatives market., weather options,
how to price and hedge them and more.: Weather
Derivatives Paper
Older Papers
Pricing Compound
and Chooser Options, Izzy Nelken
Using numerical integration to value these options. : Square
Deals
Contingent Premium
Options, Izzy Nelken
A primer on contingent premium options. : Contingent
Premium Options
Convertible
Bonds, Izzy Nelken & Water Cheung
Using multi-factor trees to price convertible bonds. : Costing
the Converts
El Pais
Interview with the El Pais newspaper about Exotic Options. : El
Pais Interview
Parallel Financial
Computing, Robert Bjornson & Izzy
Nelken
How parallel computation was used to speed up some financial algorithms : Fast
Lady
Box Options, Izzy
Nelken
Double barrier options and the "box trade" : Range
Box Redux
Wisconsin
Sentinel
Interview with the Wisconsin Sentinel newspaper : Sentinel
Interview
Canadian Compounds, Bill
Falloon
Interview with Bill Falloon about the Compound Options issued by Banker's
Trust Canada : Canadian
Compounds
Structured Notes
Analysis of Structured Notes : Structural
Survey

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