[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 ...

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1answer
65 views

How frequently do traders rebalance their gamma hedges?

Say, for instance, that you've set up a delta-neutral straddle (i.e. you are long volatility, short time decay) and want to dynamically hedge your gamma in order to offset losses due to theta. Is ...
3
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1answer
88 views

How to hedge a barrier option with vanilla options?

I want to hedge a barrier option, say a knock-out call with strike K and barrier B out-of-the-money. My idea was to start from the payoff diagram of this option, and try to accomodate it with vanilla ...
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1answer
66 views

Static and Dynamic Hedging of Vol/Var Swaps

Why can a variance swap be perfectly statically hedged whereas a volatility swap requires dynamic hedging? Possible reference request to the corresponding literature.
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2answers
60 views

hedge a USD index into EUR

Say I have the daily index levels for the S&P. It is then very simple to calculate the daily returns. I however want to calculate the hedged returns into Euros. I have the daily exchange rates ...
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2answers
32 views

EUR issuance using forwards to hedge FX risk

Trying to think about the right way to hedge a EUR denominated issuance from FX risk only. Say I have an annual pay 20-year EUR bond and I want to hedge the FX risk but take the interest rate risk. I ...
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1answer
50 views

Why are there two expressions for the Black-Scholes hedging portfolio

I am new to derivatives pricing and am trying to understand why there are two different expressions for the Black-Scholes hedging portfolio. The first approach, used in books like Hull, stipulates ...
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1answer
36 views

Known future volatility and difficulty in predicting final P/L

I have started Chapter 1 of Dynamic Hedging by Taleb and it starts by saying "Even if traders knew the exact future volatility but hedged themselves (rebalanced the gamma) at discretely spaced ...
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2answers
82 views

How do market makers hedge VIX index options?

With equity options, many market makers hedge by buying or selling the underlying asset in correspondence with the option's delta. For example, if the market maker wrote 1 call option with a delta of ...
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1answer
83 views

A simple question on Delta hedging

In the Black and Scholes model, when it is needed to immunize the portfolio from variations in the stock the argument given is the following. If $\alpha_t$ is the amount of invested in the stock, ...
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1answer
94 views

Why is $N(d_2)$ not needed for hedging?

I'm trying to understand delta hedging. If I sell a plain vanilla call option, in order to delta hedge it, I have to buy delta amount of stocks. What I don't understand is that the BS price of the ...
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1answer
38 views

Effect of different maturity options in delta-gamma-hedging

I read about hedging with options and think i got it. However there is a case am not sure how to handle. Is there any exception in the delta-gamma-hedging-(calculaton-)technique? - say: solve an set ...
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0answers
55 views

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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0answers
21 views

How to appropriately measure volatility in assets with different execution dates?

Let's say I have two assets and I am hedging them with going short on two other assets. Let's say that asset 1 is expected to expire in one day and asset two is expected to expire in two days. Let's ...
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2answers
181 views

Who Uses American Options?

...in other words, why would a person want to have the right to exercise an option early? What advantage does that really give you? Are Euro-style options not good enough for some people? Who are ...
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0answers
36 views

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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0answers
29 views

hedging of a spread option with call

We have 2 underlying $S^{1}$ and $S^{2}$ with BS dynamic under the risk-neutral measure (r constant...) I found the (big) PDE satisfied by the price function $u(t,x,y)$ of a call spread whose payoff ...
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0answers
73 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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0answers
42 views

Motivation for hedging volatility using VIX ETNs

i wondered what the motivation for professional investors could be to engage in VIX ETNs. Would they even think about trading this kind of product? (they normally should have access to VIX options, ...
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1answer
107 views

Currency risk USD>EUR>EGP

Seeking input on hedging risk on USD to Euro with a 3rd component of payroll issued in Egyptian Pounds. We are a US corp invoicing a Germany entity in Euro with massive payroll being paid in Egyptian ...
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0answers
77 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 ...
2
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1answer
62 views

How to hedge an off-the-run bond?

Let's say we have an 11-year off-the-run Treasury bond, but we only have access to on-the-run Treasury bonds. How do we hedge?
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0answers
76 views

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. ...
6
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1answer
123 views

derivation of the hedging error in a black scholes setup

I'm reading the following short paper by Davis. In section 2.6 he wants to derive an expression for the hedging error. Assume we have Black scholes setup: $$ dS_t = S_t(r dt + \sigma dW_t)$$ $$ dB_t ...
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0answers
26 views

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 ...
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2answers
280 views

Vega hedging with implied volatility smile

I have a problem with vega hedging. Consider the management of an exotic derivative, such as Barrier option. Typically we do the following tasks: selecting a pricing model, say, a local volatility ...
3
votes
1answer
173 views

How can one value a Bermuda option?

A Bermuda option allows early exercise at predefined dates, e.g. at maturity equal to $t_1$, $t_2$, $t_3$,...; hence , would its value be the sum of 3 discounted European options with 1-year ...
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0answers
844 views

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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2answers
2k views

Have Goldman Sachs Quantitative Strategies Research Notes been published as a book or a comprehensive collection?

Back in the 90's, Goldman Sachs (publicly?) released a series called "Quantitative Strategies Research Notes" — mostly technical papers on topic. Emanuel Derman co-authored almost all of them. Some ...
2
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1answer
127 views

How to hedge a put under the Black-Scholes model?

To hedge a call, one would invest the option price proceeds into $\Delta_t*S_t + B_t = c_t$. (ok) However, a put has negative delta, so I would short $\Delta_t*S_t$ and invest ...
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1answer
289 views

“Hedging” a put option, question on exercise

I have a question on the following exercise from S. Shreve: Stochastic Calculus for Finance, I: Exercise 4.2. In Example 4.2.1, we computed the time-zero value of the American put with strike ...
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3answers
449 views

Greeks: Why does my Monte Carlo give correct delta but incorrect gamma?

For a vanilla European call, my Monte Carlo method gives the right option price and delta but the wrong gamma. In particular, the value of gamma varies wildly each time I run the method. I estimate ...
1
vote
1answer
42 views

How to effectively hedge a Fixed-Term deal in a foreign currency?

Assume my firm is based in USD and agrees with some counterparty to buy, at time $T$, some quantity $Q$ of asset $A$ for a fixed price $K$. Assume also that $A$ prices and $K$ are denominated in EUR. ...
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0answers
53 views

Hedge volatility decreases

My particular options positions are typically a long delta, and long vega. Decreases in implied volatility, or specifically the VIX, can drastically alter the profitability of my position. Is there a ...
0
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0answers
127 views

How to optimally hedge construction loans with interest rate swaps?

We are a borrower with a construction loan that is pay floating. At the inception of the loan, we entered into a pay-fixed/receive-floating interest rate swap with a growing notional profile that ...
1
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1answer
85 views

Hedging behind the decomposition of american put options

Now I'm reading a paper:"alternative characterizations of american put options" , the authors are Carr,Jarrow,Myneni http://www.math.nyu.edu/research/carrp/papers/pdf/amerput7.pdf After theorem 1 ...
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2answers
128 views

hedging correlated instruments

If two instruments have a significant negative correlation but the percent change in the price of the instrument moving in positive direction is always more by a fraction than the one moving in ...
2
votes
0answers
40 views

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. ...
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2answers
177 views

How market making in Index options is done?

I have been thinking about this one for last couple of days. With options on share we hedge on cash and the underlying equity as per Black-Scholes formulation. But I am confused on Index options. ...
2
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1answer
107 views

Am I in a long or short position in this case? (Cross hedging)

An airline expects to purchase 2 million gallons of jet fuel in 1 month and decides to use heating oil futures for hedging. The variance of the heating oil futures price is 1,5 times bigger then the ...
0
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1answer
153 views

Implication of the Greeks under jump diffusion model

Consider jump diffusion model proposed by Merton and Kou. As far as i know, most paper only dealt the valuation of option under the jump diffusion model. As i expected, because of the ...
2
votes
1answer
366 views

Hedging bond with CDS of different maturity

Say I buy a 10-year bond with a notional of 100k. To hedge my credit risk entirely I could buy a 10-year CDS, also on a notional of 100k. Now, if there are only 5-year CDS trading and no 10-year CDS, ...
3
votes
1answer
132 views

Which quantitative tools are actually used for hedging energy price and volume risk?

I'm a finance professor and I am looking for someone with actual trading and risk management knowledge within the energy sector who can tell me about pricing and hedging energy (especially electricity ...
1
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1answer
52 views

Hedging using relative values

Consider I have two stocks $A$ and $B$, $A$ is trading at $\$40$ and $B$ at $\$30$. The standard deviation of its returns are $\sigma_A=25\%$ and $\sigma_B = 30\%$. Correlation between the returns is ...
0
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1answer
421 views

Hedging future USD cost using different IR and forwards

I am facing a problem where I suppose an expense in 6 months from now of 2,500USD. My home currency shall be EUR, and I am trying to hedge given the following information. ...
1
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2answers
212 views

M&A hedging an equity portfolio against an index

Quick Note This question was already posted under the userID user8170. Reason being I could not access my account. Now I am able to login to my account I am reposting the question here and will ...
1
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2answers
85 views

Opposite of Tail-Risk Hedge (Established Vocabulary)

I'm working on a client memo explaining several approaches to equity hedging, and I'm looking for a not-too-technical term for a hedging strategy where I try to keep options near the money, as to have ...
1
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2answers
143 views

Pricing Principle 1

In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this Pricing Principle. Is the one in red supposed to be the proof of the Pricing Principle 1? Or merely an intuitive ...
2
votes
1answer
305 views

ETFs have lower tracking error than Futures?

I used the daily returns of SPX Index, SPY US Equity, and SPA Index. I then calculate their standard deviation as hedging instruments with respect to SPX Index, i.e., (spx_ret - spy_ret) or (spx_ret - ...
1
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1answer
1k views

Hedging a Long Equity Swap by Shorting the Stock

Suppose that I enter an Equity Swap, such that I pay a floating rate and I receive the equity return. The payment is every one year for both the rate and the return, and the swap expires in one year. ...
6
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0answers
166 views

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} ...