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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57 views

Hedge robustness of the one factor Hull White model

I recently came across a quote in a book: "All single factor models share the limitation that shifts in curve levels cause shifts in the package of vanilla options that are a good hedge for the ...
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Repo sensitivity

Hope u're all doing well in this sanitary crisis. I have a question concerning repo sensitivity of basket/index derivatives regarding market making for instance. The argument to compute such a repo ...
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What put options would the Universa Tail Fund have bought?

According to this Bloomberg article, Universa was up 3,600% in March 2020, by hedging with extremely out-of-the-money puts: https://www.bloomberg.com/news/articles/2020-04-08/taleb-advised-universa-...
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Why do we not use copula for forward starting options?

Why do we use copulas for spread options but do not use them to correlate random variables across time, such as in the forward starting option?
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Confusion about replicating a call option

Assume standard Black-Scholes model, $$dS(t)=S(t)(rdt+\sigma dW(t))$$ where $\sigma$ is a constant and $W(t)$ is a Brownian motion under the risk neutral measure. A call option is replicable, so if we ...
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133 views

VIX vs S&P: Drift in the hedging residual?

I am looking at the daily returns of the VIX index (dVIX ) and the daily returns of the S&P 500 (dS). I am running a linear regression (using 0 intercept) and get a regression slope of -1.4, i.e. ...
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157 views

Question about using Ito's lemma in Gamma PnL

While deriving the delta hedge error if we hedge with implied vol, and the true vol is different, we say that the PnL of the call option is: $$dC=C_tdt+C_SdS+0.5C_{ss}<QV>dt - (1)$$ Where $<...
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123 views

PnL due to model recalibration and its relationship with hedging error

Consider the case where at t=0, I calibrate my model to the market, but at t=1 my model is no longer able to recover the price in the market, so it needs recalibration. Say I have delta hedged my ...
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Interest rate hedging using treasury futures – timing and duration

I'm pondering over the following (rather standard) problem: We have \$10 million invested in government bonds and are concerned with highly volatile interest rate over the next six months. We want to ...
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115 views

Why do replicating strategies delta hedge?

We have a simple BS-market of one risky asset $S_{t}$, a bond $B_{t}$ and a digital option $X$ on the risky asset with value process $V(t,S_{t})$. I was able to derive $V(t,S_{t})$ using risk-neutral ...
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Garch models - are they useful for hedging? If so how?

I understand that Garch models are useful to predict volatility. But are they useful for hedging in practice? If I want to hedge volatility, why shouldn't I just use a Variance Swap? In other words, ...
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Should I hedge this spread with a spread option or an insurance product?

My firm generates electricity from wind. Accordingly, most of my generation takes place at night, when prices are low -- and, due to congestion / oversupply, often sharply negative -- so much so that ...
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Finding a PDE for an option $V(t,r(t),S(t))$

I have 2 approaches in my mind for finding a pde of an option that depends both on the short rate as well as the stock price- $V(t,r(t),S(t)$. Are these equivalent? Find a hedging portfolio by ...
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How do traders hedge against “tail side risk” in practice?

In a recent CNBC interview, Black Swan author Nassim Nicholas Taleb gave a categorical advice about investing in the Corona period. “It is very unwise to do any form of investment without some form of ...
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How does a pricing model 'understand' the cost of hedging?

Suppose I am pricing a multi asset at the expiry payoff. Theoretically I define their joint distributions in the risk neutral measure, and price using expectation. However, how do I know that the ...
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What kind of entities use exotic derivatives, and do they serve any purpose other than hedging risk?

I work in a sell-side bank in derivatives modeling. My work involves modeling and pricing of exotic derivatives and I often wonder who are the buyers of these products. From my research, I found that ...
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What are the differences between hedging with swaps, options or futures? [closed]

For instance if a bank wants to hedge against interest rate risk, it could use interest rate swaps, or options or futures contract. Or in any other example, when a manager is hedging against risks. ...
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How do I calculate FX forward hedge ratio?

Suppose I have a USD holding of 1,000,000 in my portfolio and I want to convert it into EUR in a month's time. I enter into a FX forward contract of the same amount USD 1,000,000, meaning that I have ...
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Why might a bulk annuity provider hedge their exposure to risks such as inflation, interest rates, and exchange rates on a weekly basis?

I was recently speaking to someone who works at a UK life insurer which offers defined benefit pension scheme buy-outs. He mentioned that the company employs traders (of bonds and swaps, mostly) and ...
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Why do (life) insurance companies face equity risk?

I am currently reading through a study published by the Institute and Faculty of Actuaries on hedging practices within the insurance industry. Within the executive summary, under 'Key Risks', it is ...
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109 views

Vega hedging swaption with caplets - precisely, what will go wrong?

I am trying to form a kind of unified perspective of how (vega) hedging an exotic with vanillas, or hedging a 'basket option' with vanillas will go wrong. So in particular, I want to be able to ...
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Cross hedge: Which commodity to hedge when you have to hedge the jet fuel price but you have option between two commodities

If we have an option between two commodities to hedge jet fuel and the commodities have results as follows: minimum variance hedge ratio: 1.07 for commodity 1 and 2.53 for commodity 2 ...
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Can a portfolio value consisting of longing a delta shares of stocks and shorting a call option greater than strike price?

While trying to implement Black-Scholes delta hedging for a European call option using Python, I came across the following phenomena: Given a portfolio consisting of longing a delta shares of ...
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How can I theoretically hedge a bet, which is about whether or not price of a stock will get above a number?

For example, the bet may be about someone giving me P dollar and I will pay that person 300 dollars if tomorrow Tesla gets above 860 dollars. While assuming the Black-Scholes model hold, I can simply ...
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Simple strategies for tail risk hedging that retail investors can use

Universa Investments run by Mark Spitznagel popularized the idea of portfolio insurance (also known as tail hedge) protecting the investor against severe market declines (tail risks). By using this ...
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Tailing the Hedge for Minimum Variance Hedge Ratio (Hull, 10ed)

I am an amateur reading Hull's Options, Futures and other Derivatives. I have encountered an issue similar to the one here: How to tail a hedge? (Question 3.26 from Hull, edition 10). The author ...
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bank issuing structured products

"The investment banks supplying structured products were effectively buying options from investors" How to understand this quote from this source? I would think the investors are usually had (long) ...
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Hedging Covid-19 and other low probability high loss risks

Covid-19 and similar risks are low probability, high loss events. Does it make sense to utilize options to provide hedges for such events? For example, should one utilize long positions in deep out-...
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Forecasting accuracy in one month and hedging

I am working on predicting the daily data of a financial time series $[Y(t+1),...Y(t+j)]$ =$f(X_1(t),...X_1(t-i),.....,X_n(t),...X_n(t-i))$ where $Y$ is a commodity price $X_i$ are predictor variables ...
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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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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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172 views

How can you possibly profit from hedging, in view of Algorithmic Trading?

To wit, doesn't hedging necessarily break even or lose money? I assume the semi-strong form of the EMH, defined in Zvi Bodie, Alex Kane, Alan J. Marcus. Investments (2018 11 edn). p 338.       The ...
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699 views

Hedge backtesting: ex-ante Beta vs observed Beta (is this even possible?)

A global equity portfolio has for objective to outperform a benchmark (MSCI World). I hedge the sensitivity of the portfolio to MSCI World (the beta) so that only the alpha remains unhedged. The ex-...
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143 views

Why would a 15Y swap index=EUR3M and discount=OIS, show only a EUR3M-delta at 15Y

When computing the index-delta for a swap in a multi-curve framework, only the last cash tenor seem to show sensitivity. Could anyone explain with formulas why it is the case ? For example a 15Y swap ...
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71 views

Measuring Hedge Effectiveness

So I was trying to estimate the performance of a static hedge vs dynamic hedge in the electricity market and I came up with some weird findings. When I used the minimum variance hedge approach using ...
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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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137 views

Is it possible to construct a hedge that matches value Delta Gamma and Vega?

Given a strike price, current price, risk free rate, dividend yield and volatility, I have been asked to calculate: - a hedge which matches the value Delta and Gamma - a hedge which matches the value ...
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Can a delta hedge be negative for all values at one time, and positive for all values at another time?

I have a problem that states there was a formula for the hedge $\delta(t, S_t)$ for a contingent claim whose value depends on only the stock value when $T=20$. In this hedge, $\delta(t, S_t)<0$ at $...
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Gamma-Vega Neutral Portfolio Not Possible with Only 3 Options

Let's say we have sold a call option, x, on a share and we have 2 other call options, y & z, with different strikes and maturities to try and achieve a portfolio that is both Gamma and Vega ...
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136 views

Why are equity futures so disconnected to the underlying index? Example

I am looking at ZWPH0 which is a future and the underlying index MSCI World. According to Bloomberg the prices are as follow: 13 March 2020: MSCI World 451 / ZWPH0 5234 16 March 2020: MSCI World 410 /...
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384 views

Replicating a put option when short selling the underlying is not allowed

Suppose we sell a put option with maturity $T$, strike $K$ and fee $P_t=v(t, S_t, T, K, ...)$. The replicating portfolio consists of holding $\alpha_t = \frac{\partial{P}}{\partial{S}}=:\Delta_t$ ...
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218 views

Hedging Interest rate swaps in practice

Suppose we have a portfolio of i terest rate swaps that we wish to delta hedge. we build a delta ladder by shocking the instruments used to build the forecasting and discouting curves (Eurodollar ...
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132 views

Alternative strategies for hedging customer FX positions in spot market

Generally, if an FX broker decides to hedge a customers' position, it automatically hedges the customer's trade to Liquidity Providers when the trade occurs in the spot market. Let's say, the customer ...
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129 views

What is the cheaper IR hedge: Futures or IRS?

Let's take the following idea: Your objective is to hedge interest rate risk. You decide between Futures and IRS: You can sell bund futures (10Y bond equivalent): Price 177.70 Theoretical coupon: 6%...
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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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How to gamma hedge and vega hedge an autocallable product?

I am pretty new in quantitative finance, and I am interested by the hedging of autocalls. Could you, please explain which financial products should be traded (specify the way, please) to delta hedge, ...
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64 views

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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Why aren't ETNs always listed with an inverse ETN?

Exchange Traded Notes (ETNs) are often issued to give buyers exposure to an index that cannot be easily constructed from liquid securities. (If an index can be constructed from liquid securities it ...
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116 views

Delta heding & PnL

Sorry if it's a duplicate but i didn't find an answer to my simple question in the other posts. Let say we short a call option on a stock. $K = 100$, $C = 1$, $S = 100$ and $\Delta = 0.5$. No ...
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305 views

Why is the hedging cost using forwards $\frac{F-S}{S}$ and how is this related to Carry?

I'm a bit confused about hedging a foreign exposure and how this is related to carry. I've read that the hedging cost $h$ is $$h=\frac{F-S}{S}$$ where $F$ is the forward and $S$ is the spot price. ...

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