Questions tagged [hedge]
The hedge tag has no usage guidance.
73
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Why are we so focused on Zero Coupon Bonds?
In fixed income markets there seem to be two prevailing term structure modelling approaches:
Market Models
HJM Framework
In Market Models, such as the LIBOR Market Model (LMM) and SABR it is common ...
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How to hedge 3 Month SOFR futures with 1 Month SOFR futures considering FOMC meeting
Has anyone considered trading SR3 vs SR1 SOFR futures? They both have the same underlying basis of daily SOFR, and how would one calculate a hedge ratio for the SR1 to trade along SR3?
Looking at the ...
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1
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Hedge up-knock-in forward option
I wolud like to know if there is an analytic formula to to valuate a up-knock-in forward, it means
\begin{equation*}
(S_{H_B}-S_T)1_{[H_B\leq T]}
\end{equation*}
where $H_B=\inf[t\geq0 | S_t=B]...
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Hedge for some exotic options
It is well known that a european call option with strike price $C(K)=(S_T-k)^+$ coul be hedge using the Black-Scholes formula $BS(t,T,r,K,S_0)$. I would like to find a hedge (or sub-hedge) of the the ...
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Calculating the Minimum Variance Hedge Ratio [closed]
Taken from the book:
$\Delta{S}$ - Change in spot price, S, during a period of hedge.
$\Delta{F}$ - Change in futures price, F, during a period of hedge.
If we assume that the relationship between $\...
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96
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105
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Adjusted beta for short positions, should we re-adjust the formula?
I see in BBG that the beta of XSPS (an inverse SP500 ETF) to SPX Index is -1.05 and the adjusted beta is -0.37.
I get that -1.05 * 2/3 + 0.33 matches the adjusted beta. However, does this adjusted ...
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3
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Uncorrelation between SP500 and USDJPY?
I'm planning to start a strategy on SP500 hedging losses on USDJPY, because USD usually goes the opposite of SP500. I'm also considering other symbols (USDCAD, USDCHF, USDX) I just took the charts of ...
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Hedge position formula interpretation
I've been given a formula that has to do with the calculation of hedge position, but I'm struggling to understand it. I'm really new to financial Maths or financial in general.
The formula is: $\frac{-...
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1
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113
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Hedging with peer companies and optimize the weights
I am trying to long a security that is expected to outperform its peers after certain corporate actions, but want to hedge using the same group of peers (so short ~5 names). So the goal here is to ...
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What is the P-probability of an unhedged call-arbitrage to lose money at expiration
Assume that the Risk Neutral Price (under the $\mathbb{Q}$-measure) of an European Call Option with expiration date $T$ has a price of $F(S_0,0)$ at time $t=0$ in the single asset Black-Scholes model ...
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173
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Hedging exchange rate risk from ADR with FX Forwards
Is there a more efficient way of hedging exchange rate risk from ADRs instead of constantly trading FX Forwards? How does the industry usually hedge that risk?
Moreover, is it reasonable to suppose ...
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172
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In the Black-Scholes model with stochastic interest rates, what are the 3 assets used to compute measures?
Suppose I have a model with 2 primary assets, a stock $S$ and a short rate.
The stock will be driven by a Brownian motion $W_1$. The short rate will be random and will be driven by a Brownian motion $...
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306
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hedge with implied volatility, PnL formula
Notations are consistent with this answer.
Selling and delta hedging the option $V^i$ using the implied volatility $\sigma_i$ while the actual volatility of the underlying asset is $\sigma_r$. Then ...
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135
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Hedging Curve Risk with Futures
Please help confirm/correct my understanding of hedging curve risk using futures.
For example, if I purchased a 9y bond and hedged the duration risk (parallel shift) by shorting 10y treasury futures ...
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1
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1k
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How to get the weights for a beta neutral portfolio?
Given a ranking of 100 long stocks and 100 short stocks. Looking at these 200 betas: How can I find the optimal weights to get a beta = 0 long/short portfolio?
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Hedge 3 securities against 3 other securities
I have a portfolio of 6 securities, 3 long 3 short. I need to hedge them against each other so directional exposure = 0. How would I decide how to weight each security?
Is there a model to do this?
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For what options does the "delta hedging rule" apply?
I'm reading Shreve's Stochastic Calculus for Finance, Volume II. In chapter 4, he derives the "delta hedging rule":
$$\Delta(t) = c_x(t, S(t)) \text{ for all } t \in [0, T)\text{.}\tag{1}$$
...
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1
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418
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Conversion factor for futures hedging?
I had a question regarding conversion factors and treasury futures in the context of hedging for DV01.
In my textbook, in order to calculate the hedge ratio they give this formula:
$$
HedgeRatio= \...
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127
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SX5E option hedge
There are only quarterly contracts (3,6,9,12) for SX5E futures. In practice, how do we hedge SX5E option at expiry for non-quarterly contracts (say April)?
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Hedge Fund Leverage - FX exposure
how is leverage calculated for hedge funds that follow a global macro strategy. Specifically interested in knowing the FX exposure- forwards or spots. If it’s just Longs+Shorts, then leverage would be ...
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Hedge error - Willmot and Ahmad
I'm currently reading the paper: Willmot and Ahmad: Which free lunch would you like today, Sir? Delta Heding, volatility arbitrage.
In case 1: They delta hedge with the actual volatility, by going ...
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1
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Pros and Cons of SPY hedging strategies
Imagine someone bought 100K SPY as a long term investment. Now he wants to hedge against the downside risk of 10% or more. He is considering the following options:
Buy UVXY which is a 1.5X VIX ETF ...
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129
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Market maker hedging model
I understand that most market makers maintain non directionality i.e. they always aim to be perfectly hedged. So if they take a long position in X, they will take an offsetting short position in a ...
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0
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582
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how do traders typically hedge a callable zero coupon bond?
i've seen termsheets of callable accreting notional swaps where the accretion rate equals the fixed coupon rate. apparently these are used to hedge callable zcb's. but it doesnt seem to make sense! ...
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115
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ETF bid/ask spread [duplicate]
I was just wondering if someone could explain to me how an ETF market maker earns profit through the spread they collect while hedging the positions to be non-directional.
For example I read somewhere ...
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1
answer
580
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Meaning of Rebalancing the Gamma in Options?
What does rebalancing the gamma mean?
In the Book: Dynamic Hedging at the beginning says:
Rebalancing the gamma corresponds to buying and selling the underlying security in order to replicate the ...
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4
answers
166
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Where can I find a current tail risk indicator?
The definition of tail risk (risk of 3-standard deviations movement) seems to imply there would be a current market indicator for this.
Is there such an indicator available somewhere?
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139
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Structured Trade / Hedge consistency
I have a question regarding the marking consistency (from an accounting point of view) between bespoke structured trades and the listed instruments that may be used for their hedging purpose:
Since ...
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504
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Gamma and Gamma Hedge [closed]
I have a very basic question: Is this gamma value has something to do with the gamma hedge? In delta hedge, it's done by buying/selling delta amount of underlying. But in textbook, for a put option, ...
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IFRS9 hedge accounting - fx risk hedge with Cross currency swap with notional reset
My understanding is that notional resetable cross currency swaps (MTM CCS) are very common amoung interbank markets, and MTM CCS are often used to hedge fx exposure.
However, the notional resettable ...
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1
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Pricing of autocallable structured product
I'm looking at this paper: https://doi.org/10.1057/jdhf.2011.25, which is on pricing autocallable structured product. The author uses the Black-Scholes equation to describe the product's dynamic value,...
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Hedge Active Duration by Issue Currency or Country of Risk
For example, lets say I own a bond issued by a company in Mexico that's denominated in USD and I want to hedge my duration exposure. I obviously need to hedge duration to the US yield curve. Do I ...
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Minimum Variance Hedge Ratio and Risk Capital Relation
So I understand that the minimum variance hedge ratio minimizes the second moment of the portfolios. My question is how is it related to the size of the risk capital (which is calculated as the Value ...
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Price adjustment of Black-Scholes delta and gamma for a quanto option
A quanto option is a derivative with the underlying and strike price denominated in one currency, but the instrument itself is settled in another currency. This has consequences for the calculation of ...
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Hedge ratio with future contract [closed]
I want to buy some stocks and short future contract instead. I wonder whether I can calculate the hedge ratio?
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329
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Hedging with interest rate derivatives
This might be a stupid or basic concept for some of you, I'm new to the concept of hedging with interest rate derivatives, I understand how to hedge an equity portfolio but i'm struggling with the ...
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3
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167
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Hedge performance in times of volatility: Beta changes impacting PnL during market rebound
I hedge a portfolio of Global Equities (200 stocks within MSCI World universe) by shorting futures on MSCI World Net Total Return. The hedge is calculated using Beta. Beta is calculated using a risk ...
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105
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How much to hedge if borrow in EUR to buy USD assets?
Suppose an investor borrows EUR1m to buy USD stocks. He wants to hedge away the currency risk through EURUSD futures. He should go long EURUSD to hedge this risk. The question is how much of EURUSD ...
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415
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Making portfolio Delta and Gamma neutral using 2 derivatives
We have an option portfolio with delta =2 and gamma 3 and we want to making this portfolio delta and gamma neutral using two derivatives D1 and D2:
...
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114
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Brownian motion Price and Hedge problem
Let $W_t$ be a Brownian Motion and let
$S_t= S_0e^{(rt- \frac{\sigma^2}{3!}t^3 +\int_{0}^{t}\sigma W_s ds )}$
Price and Hedge at time $t=0$ European call with maturity $T$ and strike price $K$, ...
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156
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What is the difference between Cost of Currency Hedging and the Price of a Currency Pair Forward?
I am looking at Reuters Datastream and all they seem to provide is the settlement price of the CME EURGBP contract (which more or less equals current spot).
But what does it actually cost me to ...
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Hedge ratio: hedging a portfolio of global equities with futures
A bank decides to use $100 million of its capital to launch an investment strategy (seed money). The portfolio which is launched is made of global equities (say ~ 500 equities of different markets).
...
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Effects of hedges on counterparty exposure used for RWA computation
In the context of Basel 2 requirements (BCBS128), how hedges affect the computation of counterparty exposure used in RWA calculation? Specifically, do hedges reduce the amount of exposure (EAD)?
...
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What exactly does shifting a barrier in a barrier option mean and how does it hedge delta?
How exactly is shifting the barrier to hedge delta implemented in case of barrier options. Is it just changing the barrier, if so, how does it hedge delta or is it making the barrier a range like a ...
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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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Hedge cost Exotic payoff
For an exotic payoff with no analytical formula, the standard is to use MC simulation or solve a PDE.
On the other hand the price should be the future hedge costs with the hedge ratios implied by the ...
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506
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Break-even volatility for delta hedge portfolio
After simulating practical and theoretical PnL of a delta hedged portfolio on some data from the SPX500 under 0.15 management Vol I want to find the Vol which gives me an accumulated PnL of 0.
...
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Why is the yield return preferred to the price return for selecting hedges for bonds?
For evaluating a hedge for a bond, I noticed that we often look at the yield return correlation between the two instruments, instead of the price return. Why is that?
To me, the price would make more ...
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Confused by Solution to the Expected Profit when Hedging an option using Implied Volatility (from Wilmott 2006)
Paul Wilmott on Quantitative Finance 2nd Ed (section 12.5.1) gives a solution to the initial expected profit when hedging using delta based on implied volatility as
$$\frac{1}{2}(σ^2 - σ̃^2) \,\int_{...
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