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Questions tagged [optimal-hedge-ratio]

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1 vote
0 answers
106 views

How does delta adjustment relate to skew stickiness ratio (SSR)?

The correct delta hedging of a derivative $V$ in a model where volatility $\sigma$ is a function of the underlier $S$ requires a stock holding of an amount $$ \frac{dV}{dS}=\frac{\partial V}{\partial ...
Mr Frog's user avatar
  • 253
0 votes
1 answer
83 views

Minimum variance hedge ratio for currency hedging

The textbook formula for minimum variance hedge ratio (MVHR) is correl (Y,X) * (STDEV Y / STDEV X) However, I would like to reconcile the textbook formula with the ...
sjedi's user avatar
  • 25
0 votes
1 answer
122 views

How to construct a delta-neutral portfolio containing stocks using correlations?

I’m aware of the mean-variance framework where we construct a portfolio such that we attempt to minimise the variance and maximise returns. What if instead we’re in a scenario where the main goal is ...
Xerium's user avatar
  • 99
0 votes
1 answer
135 views

Calculate minimum variance hedge ratio for foreign-denominated asset hedged to domestic currency

The formula for minimum variance hedge ratio (MVHR) is conceptually the correlation multiplied by the ratios of volatilities. correl (Y,X) * (STDEV Y / STDEV X) ...
sjedi's user avatar
  • 25
1 vote
2 answers
386 views

mathematical proof of the hedge ratio formula for bond futures

We know that the hedge ratio ϕ_F that we should use in order to to the duration-hedging through bond futures is: $$ϕ_F= -(DV01_B / DV01_{CTD} )\cdot CF_{CTD}$$ Where $\textrm{DV01}_B$ is the dollar ...
luca dibo's user avatar
0 votes
0 answers
198 views

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 ...
Borla312's user avatar
0 votes
0 answers
40 views

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 ...
Don P.'s user avatar
  • 103
0 votes
1 answer
290 views

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 $\...
Vanconts's user avatar
1 vote
0 answers
70 views

Have more complex MVA-style models become obsolete?

Just reading a book about about portfolio optimisation. You hear left and right that MVA (Mean Variance Analysis of Markowitz) is out of date, creates suboptimal portfolios in practice and so on ...
not_sure95's user avatar
0 votes
0 answers
173 views

Simple beta hedging questions

This might sound really naive but I am really confused by this beta hedging idea. So it seems the standard way to do it is to run a simple OLS on returns (say asset A and B only 2 assets in the ...
DLW's user avatar
  • 55
2 votes
1 answer
243 views

Optimal Hedging Ratio using Copula Models

Let $r_{s, t}$ and $r_{f, t}$ be the return rates of the spot and futures of a commodity at time $t$. The hedging ratio based on variance minimization is calculated by finding the minimum of the ...
Blg Khalil's user avatar
0 votes
1 answer
743 views

Pairs trading using dynamic hedge ratio - how to tell if stationarity of spread is due to genuine cointegration or shifting of hedge ratio?

I'm very new to pairs trading, and am trying it out on a few dozen pairs. It seems very natural to me to use a dynamic hedge ratio, as it seems likely that the ratio will move over time. To accomplish ...
Vladimir Belik's user avatar
-2 votes
1 answer
57 views

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?
s00rz's user avatar
  • 1
0 votes
1 answer
793 views

Pairs trading/Cointegration confusion

I've been trying to wrap my head around cointegration. Currently I use the log returns of both stocks A and B, calculate the spread given by: $S = log(A) - n*log(B)$ where $n$ is the Hedge Ratio ...
43zombiegit's user avatar
0 votes
1 answer
116 views

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 ...
Jai Suneja's user avatar

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