[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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3
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1answer
57 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 ...
3
votes
0answers
76 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 ...
17
votes
2answers
976 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
votes
1answer
98 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 ...
0
votes
0answers
40 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 ...
5
votes
3answers
194 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
33 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. ...
0
votes
0answers
21 views

How to understand the upward trend of currency hedged euro/japan equity ETF

The quantitative easing implemented in Euro zone & in Japan has resulted in two outcomes Massive inflow of money into market that raised the stock index, and The weakening of euro/yen compared ...
1
vote
0answers
39 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
votes
0answers
34 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
vote
1answer
43 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 ...
2
votes
2answers
71 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 ...
0
votes
0answers
49 views

Self-financing strategy in the Hull-White bond model

I am having troubles with solving a particular problem concerning the self-financing portfolio in the Hull-White model (dr={phi(t)-ar}dt+sigmadW). Consider an expiry-T_0, Strike-K cll-option on a ...
2
votes
0answers
29 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. ...
0
votes
0answers
20 views

If you knew market’s expected spot rates, could you deduce if there is a forward-risk premium?

Suppose that you were importing small electric transformers, that delivery from all suppliers would take approximately 6 months, and that you faced the situation shown in the table below: The Table ...
1
vote
2answers
135 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. ...
1
vote
1answer
67 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
votes
1answer
88 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 ...
0
votes
0answers
35 views

Variance of “hedged” term structure portfolio increasing?

I'm attempting to use PCA to hedge a small fixed income portfolio. I start with one particular bond and chose the nearest other bond to hedge the 1st principle component. This decreases the portfolio ...
2
votes
1answer
114 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, ...
2
votes
1answer
110 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
vote
1answer
50 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
votes
1answer
220 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
vote
2answers
201 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 ...
0
votes
0answers
93 views

hedging an equity portfolio against an index

I am trying to run a simple back test on a M&A strategy. The idea is to buy the target company for the length of the deal and obviously hope to see a profit. The weight given to each deal is ...
1
vote
2answers
68 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
vote
2answers
117 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
215 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
vote
1answer
507 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. ...
5
votes
0answers
138 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} ...
3
votes
1answer
206 views

Electricity market : how to design an optimal hedging strategy using spot and futures markets for an industrial consumer?

Here is the problem : we should adopt the point of view of an industrial company which purchases electricity as an input in its production line and which wants to achieve the following two goals : ...
2
votes
1answer
39 views

What different techniques exist for modeling exotics near payoff discontinuities in Finite Difference method?

If you are modeling an exotic, like a binary or a barrier, and hedging it with vanillas that have strikes quite close to the exotic's strike, then a large asset step size, for example, $\delta S = ...
0
votes
1answer
137 views

Intuitive understanding of Black-Scholes pricing

The Black-Scholes formula entails market completeness, so the price of an option is only the cost associated with dynamically hedging the option. Where does this cost come from? I don't see how ...
1
vote
0answers
45 views

Existence of a hedging portfolio and martingale property

Lets assume that the underlying follows a Brownian motion and the market has the standard properties of the Black Scholes setting. Is there a way to find a hedging portfolio for every discounted ...
2
votes
1answer
243 views

What is the hedging underlying of MBS

I am working on hedging agency MBSs using treasury bonds. So my question raise as which treasury bond should more likely be a hedging underlying of a MBS. What is the matching criteria usually for MBS ...
1
vote
0answers
70 views

Calculating the Hedge Ratio

Suppose we have an index whose value is calculated by a weighted geometric mean. Now we want to recreate the index using its underlying components. How would we go about calculating the hedge ratios ...
0
votes
3answers
202 views

hedging with known volatility

Suppose we have a stock $X$ at which trades at 100 dollars. We suppose the stock follows a geometric brownian motion. We know that the interest rate is zero and annual volatility is 10 percent. How ...
2
votes
0answers
69 views

The concept of an incomplete market

While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement "A market is incomplete if there are more ...
3
votes
1answer
138 views

Minimum Variance Hedge Ratio in Binomial Framework

In order to find the minimum variance hedge ratio when holding a portfolio of vanilla call options and hedging with stock, you can do an OLS regression. In a binomial model framework, given ...
1
vote
1answer
239 views

Securitization of a loan portfolio

I am interested in the securitazion process and am looking for useful examples to help me understand how it can be applied in practice. Assuming I have a loan portfolio consisting of secured* and ...
1
vote
1answer
120 views

Is it better to hedge or reduce the position size? [closed]

Traders hedge to reduce their risk. However, wouldn't reducing the position achieve the same results while keeping the risk management process simpler? At least, one need not worry about making the ...
1
vote
1answer
79 views

Can you hedge a derivative with a CASH|spot product or does it have to be another derivative instrument

Consider you have a SWAP (any kind) to hedge this SWAP, you will most likely use another Derivative,but can you use a cash|spot product to hedge this. Like Cash Equity or FX Spot
2
votes
2answers
704 views

Dynamic hedging strategy example

I am faced with the following problem. Let the standard Brownian motion $W_t$ be the price process of a traded asset in an economy with zero interest rate. Define $$A_T=\frac{1}{T}\int_0^T W_t^2 dt$$ ...
1
vote
0answers
165 views

Market Exposure and Hedging

Normally the Market exposure associated with your stock/portfolio is your delta for that stock/ portfolio. Basic idea of hedging involved here is buying/selling respective futures depending upon ...
2
votes
2answers
353 views

Hedging credit risk using Put equity options

I am looking for some paper or similar which deal with this topic: hedging bankruptcy on firm's debt using Put options written on that firm's equity price. This should be based on the assumption that ...
1
vote
3answers
4k views

How to hedge the fixed leg of a swap contract?

I happened to get this question for Fixed Income Swap contract. (let's assume it's it's not cross currency). If the fixed leg is paying 10% interest rate in this contract, but in the market the ...
-2
votes
2answers
292 views

BS and delta hedging questions

I have two related questions concerning Black Scholes and delta hedging. I thought about this two questions, but I could not come up with an answer, so maybe you guys & girls can help me: If an ...
5
votes
1answer
225 views

How to build an electricity portfolio for an electricity production company?

I am referring to an electricity production company. Company is located in AsiaPac. The power is generated using Natural Gas fired combined-cycle power plants. Then this electricity is distributed to ...
2
votes
1answer
791 views

hedging two bonds in different currencies with FX forward

Is there a way to make a hedged portfolio using two bonds, one is in EUR, the other one is in USD and FX forward contract? Assume that FX rate follows geometric Brownian motion movement.
2
votes
2answers
4k views

How to Delta Hedge with Futures?

The theory of delta hedging a short position in an option is based on trades in the stock and cash, i.e. I get the option premium and take positions in the stock and cash. In the classical ...