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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187 views

What are Market Makers hedging?

I know that the target of the market makers is to provide liquidity to the markets. Right now I'm working as a developer in a quite large project of F.I. I know that they are providing liquidity for ...
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49 views

Deriving investment amount for one asset of a two asset minimum-variance portfolio

Suppose I bought $100 worth of stock A and I want to hedge it by shorting stock B, they have correlation of rho and respective standard deviations. How do I know how much of Stock B to sell? that's ...
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43 views

EBA Stress Test Arbitrage

The EBA stress test defines specific shocks to yield curves that are applied to positions as at year end. There is no account for cashflows - it is simply an immediate shock. Suppose the interest ...
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44 views

How to hedge payments in a foreign currency?

I´m confronted with solving the following exercise: "Suppose that now is 1 March. You are a UK based exporter who´ll export products to a U.S. company for 250,000 US dollars and to a French company ...
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61 views

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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1answer
67 views

Hedging a trade for PCA component neutrality

Suppose I am given a set of financial instruments, e.g. {1Y, 2Y, ..., 30Y} interest rate swaps or {Barclays, Lloyds, .. } FTSE100 companies. It doesn't matter which so let's go with IRS. I have ...
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43 views

Hedging option delta

Let's say I am long 1000 50 delta call options. I need to hedge my deltas now. There can be infinite ways to do this. How should I think about proceeding wit this? My first thought was, if the ...
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50 views

Why does the price of a butterfly spread increase are rate exponential [closed]

I know that stock prices are assumed to be Stochastic processes that follow Geometric brownian motion. The expectation of stock prices at time T given stock price at time 0 is: $e^{-rT}S_0$. However, ...
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65 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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30 views

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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37 views

Spread option static replication

I have a methodology for hedging a spread option but not sure if it makes any sense, or if I can do any better. Happy to hear your advice! Suppose you have a spread option paying off $P_T(r_T,s_T)=(...
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1answer
75 views

Which currency to hedge a position in FX options?

Let's assume a bank sells to a client a put of \$1,000,000 dollars on USDJPY at 110 in 6 months. The delta of this put is -0.6, spot is 112. So to hedge its position the bank has to short \$600,000 ...
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83 views

Delta hedging: theoretical value vs actual price

One way to derive the Black-Scholes PDE is via the Delta-hedging argument: Suppose that $V_t = V(t, S_t)$, for some function $V: [0,T] \times \mathbb{R} \to \mathbb{R}$. We construct a portfolio by ...
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178 views

FX TARF hedging (target redemption forward)

Lets say client is buying from you eurusd tarf strike 1,16 sell eur buy usd notional per fixing 500k usd leverage 2 first expiry 1 month from now, 12 fixings in total (monthly) full final payout ...
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44 views

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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49 views

HEDGING WITH A PUT OPTION

In the following example, for 3rd question and 4th question why do we have to add (Stock price in three months - Current stock price) to put option profit? Thank you in advance.
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197 views

How to adjust delta hedging if stock price decreases?

Question: You are long a call option no MITCO stock. You have delta hedged your position. You hear on the radio that the CEO of MITCO has just been arrested for running a massive Ponzi scheme. The ...
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1answer
42 views

Do not understand 'The gain (loss) on the stock position would then tend to offset the loss (gain) on the option position' [closed]

Currently, I am reading John Hull's Options, Futures and Other Derivatives. On page 401, the author mentions the following: Suppose that the delta of a call option on a stock is $0.6$, stock price ...
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47 views

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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114 views

Using cumulative returns to hedge against the overall trend

I am curious about a hypothetical strategy where you are long for a given period (like a year), and at the same time you hedge against the overall trend by going short everyday and accumulating the ...
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63 views

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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64 views

How to price, hedge ESG-dependent products?

I read with interest news about Netherlands bank trading several novel products in which a counterparty pays floating cash flows linked to the counterparty's ESG (environment, social, governance) ...
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31 views

Hedging Strategies involving Forwards and Options [closed]

"An investor or business with long exposure to an asset can hedge exposure by either entering into a short futures contract or by buying a put option. An investor or business with a short exposure to ...
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222 views

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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1answer
76 views

Hedging convexity for long-dated fixed cashflows

I'm wondering what are the different ways of hedging the convexity in fixed long-dated cashflows (maturity > last liquid point). Also, if you'd say receiver swaptions would be the way to go, could you ...
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147 views

evaluation of option pricing models based on Greeks empirical hedging effectiveness

I’ve studied many different pricing models (B&S, Vasicek, CIR, Merton jump, Heston, ecc), each of them gives as output a different price and different values for the Greeks. So, for example, if ...
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101 views

To calculate the Hedge Efficiency and Optimal Hedge Ratio with BEKK in R

I estimated an MGARCH-BEKK model (using the R package BEKK, i.e. Baba, Engle, Kraft and Kroner; see Engle and Kroner (1995)) on time series of spot and futures ...
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1answer
56 views

Why is the CAPM Beta defined this way - Beta hedging

Let's say I have two equity indices X and Y. Assume they are negatively correlated with some leverage. I want to hedge X with Y. I have seen many ways of computing a beta to describes the ...
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2answers
85 views

How do I derive a blend of a 3Y future and 10Y future risk?

So I have a portfolio of Govt. bonds that I'm trying to hedge with futures. Let's take one of the bonds out of the portfolio as an example. In bloomberg, every bond and its future counterparts has a ...
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1answer
69 views

stochastic interest rate in binomial pricing model and in continuous models

Is the interest rate allowed to be truly stochastic in the binomial pricing model and in continuous models so that we are still able to switch to the risk-neutral measure? Shreve mentions multiple ...
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2answers
217 views

Currency Hedged Excess Return

In the famous article "Global portfolio optimisation" of Black and Litterman, the authors defined the excess return on currency-hedged assets as the following : $$ E_t = 100 \frac{P_{t+1}X_t}{P_tX_{...
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1answer
118 views

Market Maker ETF Hedging Strategy

Some thoughts about ETF hedging; feel free to leave comments! Scenario 1: An investor sells 1M ETF shares to a Market Maker(MM) at bid price. MM has a long position and will need to offload the ...
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1answer
106 views

Cash Flow Hedge Accounting

In the context of hedging a fixed rate foreign currency liability with a receive-fixed pay-fixed CCS is known that in order to assess the effectiveness of a cash flow hedge the ratio of the change in ...
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1answer
61 views

Framework for hedging fx and utilizing correlation between asset returns

Can anyone point me in a direction (research paper, books, ..) which developes a framework/strategy for hedging currency exposure for an international bond portfolio? This paper finds optimal ...
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48 views

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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44 views

Equivalent of recovery rate

I'm trying to understand the functioning of "recovery of face-value" approach. Let $V_t$ the fair-value, that is the price that the holder of a defaultable bond must pay for hedging of default of ...
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59 views

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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2answers
292 views

Model calibration volatility surface

Let's say i have an exotic structure that is to be vega hedged dynamically. I choose to price it with a local volatility (which means the model prices in your future vega hedges using all options for ...
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40 views

Vega computation in a stochastic volatility model

What are the possible strategies to compute analytically the Vega (not numerically) in a stochastic volatility model? The goal is to vega-hedge in a generic stochastic volatility model if possible, ...
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1answer
161 views

Understanding methodology behind the covariance bucket vega

I am reading "Dynamic Hedging" from Mr. Taleb. I understand that you cannot simply aggregate all the vegas of your option portfolio and classify this as the portfolio's vega. So, now I want to ...
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46 views

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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48 views

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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1answer
108 views

Hedging with different volatility (Ahmad and Wilmott paper)

In their paper they show that: - if you hedge with the realised volatility, the present value of the total p&l is the difference between the option value based on the realised volatility and the ...
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224 views

When should we delta hedge?

Let's say I'm the seller of a European call option on a non-dividend paying stock. I pocket the premium $c_0$ of the call at $t=0$. If I start to delta-hedge right away, this is equivalent to ...
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1answer
40 views

does anyone calculate substitution risk?

So a company can post collateral to borrow money (repo agreement) and they may have different options of collateral to post. I have to pay a return on their collateral while I hold it. Since, at the ...
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1answer
95 views

Static hedge for up-and-out Digital Call

I am trying to come up with a static hedge for a Digital Call with strike K that knocks out when price > barrier H. I know it will involve non-knockout digital calls with strike K and strike H but I ...
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127 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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1answer
654 views

Delta Hedging/ Exchange for Currency Options

I'm looking at 2 cases of hedging EURUSD, using call spread or range forward. Lets say spot is 1.1300 and my buy call is at 1.1300 and sell call is at 1.1500. Hypothetically I'm assuming that this is ...
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1answer
97 views

Interest Rate Futures Question from Hull, 8e

There is this question 6.16 in Hull, 8e: Suppose that it is February 20 and a treasurer realizes that on July 17 the company will have to issue \$5 million of commercial paper with a maturity of 180 ...
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242 views

Replicating the square of an option $C^2 (S,K,t,T)$

Given a vanilla options market, i.e. $C(S,K,t, T)$ for all strikes $K$, is it possible to replicate $C^2 (S,K,t,T)$? So I am looking for a self-financing portfolio which has a price equal to $C^2(S,K,...