Questions tagged [hedging]

[Think of it as insurance. When people decide to hedge, they are insuring themselves against a negative event. This doesn't prevent a negative event from happening, but if it does happen and you're properly hedged, the impact of the event is reduced. So, hedging occurs almost everywhere, and we see it everyday.](http://www.investopedia.com/articles/basics/03/080103.asp)

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Bridgewater's Daily Observations

Bridgewater Associates send out Daily Observations to their clients, but I haven't found many traces of these publications online. The series started some 40 years ago by Ray Dalio, and there're just ...
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American Swaption Heding with Malliavin Calculus

Hedging American Swaption Hello, I priced an American swaption using Black model with swap rates diffusion to find the european (call) price at t. $$ C_t = (\delta \sum_{j=n+1}^{M+1} Z_t^{T_j})[R(t,...
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Intuition behind the Carr and Wu (2014) static hedging for ordinary options

Let $(S_t)_{t \geq 0}$ be the price of an underlying asset, $r$ be the risk-free rate of return, $q$ the dividend yield, $C_t(K,T)$ is the price of a call option written on $S_t$ at time $t$ with ...
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Formal proof market incompleteness under jump diffusion

Does anyone have formal proof of markets incompleteness under jump diffusion ? I am familiar with the intuitive approach as mentioned in Tankov (delta), yet I am looking for a formal approach and ...
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The concept of an incomplete market

While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement "A market is incomplete if there are more ...
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171 views

Implied Funding/Borrow Costs in Short-Dated ETF Option Prices

I'm struggling with some anomalous behavior in an analysis I'm running and was hoping for some advice/insights. I'm attempting to extract the implied funding/borrow costs from ETF option prices (say ...
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151 views

Pricing and hedging of vanilla options based on non-tradable underlying

Consider a non-tradable stock index $S$ which satisfies: $dS_t=\mu S_tdt+\sigma S_tdW_t$ and a risk-free asset $B$. I want to price an European Call option with the payoff $C_T=max(S_T-K,0)$. The ...
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Uniqueness of the Hedging strategy

I am currently reading the book "Nonlinear Option Pricing" by Julien Guyon. In the book they defined an attainable payoff $F_T$ as a $\mathcal{F}_T$ measurable random variable for which there exists ...
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Delta hedging and PF-value

Imagine buying a call option and shorting the delta. After some time $dt$, the stock price changes, and so does the delta and the call option value. We re-adjust our hedge using this new delta. ...
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Hedging cross gamma

I understand how to hedge delta and gamma risk. Could someone explain to me how cross gamma hedging is done by the trading desk. In particular I am interested in hedging for interest rate exotics. So ...
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140 views

Example of optimal delta hedging in G. Barles, H.M. Soner option pricing paper

There is a paper Option pricing with transaction costs and a nonlinear black-scholes equation by Guy Barles and Halil Mete Soner. And there is a section about optimal (delta) hedging, which I do not ...
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Motivation for hedging volatility using VIX ETNs

I wondered what the motivation for professional investors could be to trade in VIX ETNs. Why would they even think about trading this kind of product? (They normally should have access to VIX options,...
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380 views

What is the correct hedging strategy using futures?

In practice, even without maturity and underlying mismatch, hedging using futures does not always require a one-to-one hedge ratio. Tailing factor needs to be considered. Suppose the current spot ...
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206 views

Calculating the Hedge Ratio

Suppose we have an index whose value is calculated by a weighted geometric mean. Now we want to recreate the index using its underlying components. How would we go about calculating the hedge ratios ...
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49 views

Bond Hedging: PCA and regression based hedge ratios

This is my first question and I would very much appreciate any help. For a project I am trying to compare different hedging techniques for hedging a long portfolio of bonds. I have a history of ...
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229 views

Replicating portfolio with stock, bond and call option

I am trying to interpret: I am having trouble interpreting the replicating strategy: Context: $\phi$ is a generic payoff function, 0 < S < $\infty$, assumed throughout to be twice ...
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what is the state of the art method for hedging barrier options?

I want to create my own Barrier options for some security, I want to trade. I did some literature review, and found a static replication method, and many dynamic replication methods. I want to know ...
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Classic dynamic delta-gamma hedging in Python

I am trying to run a delta-gamma hedge for a Black-Scholes model in Python.The Euler disceretizatioin of the paths is the simplest possible. I wrote the code below but the PnL looks undesirable and ...
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Creating a hedge portfolio out of 10 assets

Suppose I have historical return data on 10 assets. How can I create a hedge portfolio that prices all these assets in a factor model? I have chosen 3 factors: excess market return, SMB and HML from ...
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Hedging jump models with a infinite number of derivatives

First of all, I inform you that I am not a financial mathematician and have vague knowledge about an incomplete market. Stochastic volatility models are incomplete so derivatives cannot be ...
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233 views

Discrete time option gamma hedging

1) An option $V$ under the Black-Scholes model is perfectly hedged when it is delta hedged continuously with the underlying $S$. When the hedging time is discrete, the delta $\Delta$ needs to take ...
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140 views

How to verify if beta “works” for hedging?

Suppose you want to calculate the beta of a stock to an index using weekly returns. If the stock is sufficiently volatile, and you use few enough observations, it is possible that the absolute value ...
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182 views

Using PCA to identify proxies for highly illiquid assets?

Was wondering if anyone had any literature to share on the use of PCA to identify proxies for highly illiquid assets? Say for example I have sold an option on stock A, an index constituent, and would ...
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133 views

Need some suggestion about short vxx long vx future strategy

I read a post by M. Avellaneda trading volatility At page 59-62 there's Strategies with VIX futures to hedge short VXX I'd like to reproduce the result. I am not sure how to do it. Some key points ...
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172 views

Relative Value Trading of American Style Options on Futures, Calcuating hedging ratios?

I am interested in Relative Value Trading of American style options on futures and have not found a whole lot of literature on it. The best resource I have discovered so far is a few pages in Colin ...
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References about market neutral portfolios that isolate unsystematic risk

I am looking for references, information, backtests etc. about market neutral portfolios that go long the index and short stocks of that index with high unsystematic (idiosyncratic) risk. The idea is ...
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Portfolio optimised for diversification and regular yield. How to hedge?

Here is a portfolio optimisation for equity dividend and yield designed to diversify holdings and produce regular monthly returns using only ETFs complete with R code. http://prescientmuse.blogspot....
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Market Exposure and Hedging

Normally the Market exposure associated with your stock/portfolio is your delta for that stock/ portfolio. Basic idea of hedging involved here is buying/selling respective futures depending upon ...
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Hedging with forward contract

I am wondering what strategies that can be used in hedging with forward contracts in commodities market. I only need to buy the forward contract (long position), let's say a one month contract. So my ...
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Dupire Vomma and Stochastic volatility

Suppose that you are short an option on asset $X_t$ following a pure diffusion. Suppose you are hedging your position using (Dupire) Local volatility model. Suppose that the option is concave with ...
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Cash account growth in Burgard & Kjaer (2011)

I am rereading [1] and there is something I cannot get my head around this time. In Section 3, page 6 of the paper, they derive the growth of the cash account when the hedging portfolio includes the ...
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How do FX brokers decide to hedge or book a customer's trades?

FX brokers try to be more profitable by, - booking(b-book) the traders that are predicted to be losing money according to the trader profile or trading history. so, if the customer loses money, the ...
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Hedging the duration and convexity of a bond portfolio

I'm trying to work through this homework question, but not sure how to approach it. You recently took over as the manager of a bond portfolio. Your total assets under management – all consisting of ...
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Hedging a long position-one period from Steven Shreve Stochastic Calculus for Finance

The following question is taken from Steven Shreve Volume 1, Chapter 1, Exercise $1.6$ (Hedging a long position-one period) Consider a one period binomial stock model with $S_0=4$, $S_1(H)=8$ and $...
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Simple 3 way delta hedge

Consider 3 futures contracts: A BTC/ETH, settled in BTC B USD/ETH, settled in ETH C USD/BTC, settled in BTC As the markets aren't efficient, sometimes these ...
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Optimal Hedging of Options - asymmetry between long and short vol positions

Going over Zakamouline's Approximation method for optimal delta hedging of options, it is claimed that the result remains valid for both buying options (long vol positions) or selling options (short ...
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Books and techniques to hedge options that expire tomorrow?

Can anyone point me to books or resources that talk about best techniques to hedge ATM or close to ATM options that expire tomorrow. I am particularly interested on how to hedge if you are short the ...
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How to properly hedge a short vol taking into account hedge stop loss?

Suppose a short straddle. In practice, hedging with long/short futures exposes to the risk of hitting a stop loss when market movements are wide. Eventually, it may very well happen that the hedge ...
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How should one hedge option positions on the date of expiry?

Let's say we are looking at a non-liquid equity ticker and a slightly OOM option on it. The problem is that if we buy delta to hedge it, it could move the underlying market and push the option to be ...
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How do you hedge with delta futures if payment is unsure?

A Czech company has a payable of 1,5 mil EUR that has got a settlement at the end of the current month and at the same time it is expecting a payment of 1,5 mil EUR at the half of the current month ...
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FX Average Forward Pricing

Lookin for documentation on how to price FX Arithmetic Average Rate Forwards. Couldn't find any info on textbooks. Any help is very appreciated.
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Pricing and hedging OTC vanilla options

Most OTC option textbooks are about exotic options. I'm curious how sell-side price and hedge OTC vanilla options e.g. European option. What models do they use? How to forecast volatility (using GARCH?...
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How to delta-one hedge a IRD sensitivity on an intra-day basis (using eg, FX or bond futures)?

I'm looking to hedge an interest rate differential sensitivity (the output from a statistical model of spot FX rates) on an intraday frequency. What is the best way to do it? Important factors ...
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Research topic on volatility

Currently studying about volatility, VIX and implied volatility as well as option pricing via stochastic volatility models. My question is how these are used in real life except of speculation. Do ...
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Minimum Lower Partial Moment (n=2) hedging ratio

I would like to better have understanding on the minimum-LPM hedging. I have understood that the co-LPM matrix cannot be modeled by GARCH type models that are used to estimate to the covariance matrix,...
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285 views

The difference between hedging and replicationg methods of deriving option prices

For deriving, say European, option prices, is there a difference between the replication approach and the hedging approach? More specifically, is there a situation where the hedging approach will not ...
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349 views

Constructing a hedging strategy for an American option

Question: Consider the following model, where $r=0$, and a dividend of 1 unit of currency is paid at time 1.5. $$ \begin{array}{|c|c|c|c|} \hline & S(0,\omega) & S(1,\omega)^* & S(2,\...
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Delta hedging of tax option

So corporate profits are taxed as a percentage of the positive earning, but losses will not generate any taxes. Hence taxation have a clear option structure where the government has a call option on ...
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How to hedge an ETF position with a basket of its underlying components

In practice, when one takes on a large equity ETF position, I would imagine it's not necessarily "optimal" to hedge using a basket of all the constituents even though that should be a perfect hedge. ...
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Portfolio Hedging under Uncertain Correlations

I have a portfolio ($w_0=1$) and two hedging assets ($w_1,w_2$) and a co-variance matrix for the three $\Sigma$. However the co-variance $\Sigma$ is only an estimate. For fairly well behaved assets (...