Questions tagged [option-strategies]
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199 questions
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How do i calculate breakeven black scholes volatility for 12 monthly option to hedge a yearly option?
If I own a 1 year call option of 30 black scholes implied vol and i want to hedge it by periodically selling 12 monthly option of same strike, how can i calculate minimum vol needed on monthly option ...
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84
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Calculating greeks for a combination of SPX and VIX options
I am trying to properly calculate the delta, vega and theta for an options strategy that involves buying a 90 day ATM SPX put and selling a 90 day ATM VIX call.
Here is what I have done so far:
SPX = ...
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1
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181
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P/L of a position described in terms of Up-Gamma and Down-Gamma
I can't visualize the profit/loss of a position described in terms of its Up-Gamma and Down-Gamma. The question arise from pag. 193 of Dynamic Hedging by Taleb.
How would you describe a position that ...
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1
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84
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Potential arbitrage opportunity or fallacy?
Suppose we have two European options with the same expiration: a call priced at $c$ with strike price $K_1$ and a put priced at $p$ with $K_2 (>K_1)$. Further, suppose the zero-points of the two ...
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63
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Approximation of an Autocall (trigger 100%) with ATM options prices
thank you very much for trying to answer this question, and I hope it will be helpful to everyone in my situation.
I am preparing for an interview, and I've come across these three questions on the ...
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1
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208
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P/L table for a delta hedged position
I am trying to replicate the table at pag. 119 of Dynamic Hedging by N. Taleb with no success. In the example called "A misleading delta" an operator has the following position:
long \$1 ...
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2
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194
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How to conclude which option is overpriced (by using implied volatility)
I have a small question regarding how to conclude which option is more overpriced?
See the following table
Option Theoretical Value
Option Price
Option Implied Volatility
7.00
8.00
26%
6.00
6.75
28%...
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525
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PnL of a delta-hedged straddle
On Twitter, this question has been making the rounds:
If you sold a 30 vol for a one year out at the money straddle, have access to free, perfect, and continuous delta hedging, and stock realizes a ...
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27
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Setting Bid-ask for option forward-type strips
do you know if there is any methodology on how to define spreads when fx option market maker is trying to quote for exaple various fx forward strip strategies?
From bbg ovml or software which we are ...
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71
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We can forecast the direction of (constant maturity) implied vol of various indices well. Is that useful?
We've been financial building ML models for years, and have multiple portfolios live - but we're new to the volatility space, none of us are options traders.
How could we effectively use implied vol ...
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2
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178
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Constructing payoff with options
Suppose that COMPANY A has issued a special bond that does not pay any coupons. At maturity T, the bondholder receives the principal (face value) equal to 1,000 plus an additional ...
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77
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Why a Short Iron condor payoff is showing always positive
I created a Short Iron condor on Nifty 50 index European option for 9 Nov weekly expiry on 1 Nov morning 10.30 AM (live market). It's payoff is showing always positive curve. Why ? However when same ...
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81
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A naive approach to choose a strike
The idea is to choose a strike base on the premium and historical data to have maximum profit.
For example a selling a (European) call.
$$Profit = Premium_K - (S(t) -K)^+$$
Replacing $(S(t) -K)^+$ for ...
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131
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What would be the practitioner way of hedging jump risks?
I have developed a keen interest in volatility strategies and have implemented various approaches based on practitioner delta. This delta is meticulously calibrated using a no-arbitrage implied ...
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126
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Arbitrage between gamma and delta on smaller timescale in options selling
I have observed that sometimes (mostly for OTM options) near expiration, an increase in option price cannot be fully explained by delta and theta(given volatility is constant). The gamma spiked the ...
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297
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At what threshold on delta percentage should I hedge my option portfolio?
I am able to identify and build an option portfolio with long/short call/put options across different strikes and expiries such that the gamma is positive and cost is negative. Upon inception I hedge ...
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37
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Accounting of a stock put option for Monthly % Changes
am looking to backtest a strategy of systemic put buying on an equity index (e.g SPX Index) so say a strategy of buying 1Y 90% SPX Puts rolled 1 day prior to expiry.
As opposed to only calculating the ...
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94
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Options strategy expiration probability
Big picture
For any options strategy, for any segment between zero profit (breakeven) points, I want to calculate probabilities of the underlying instrument price will be within a segment at ...
2
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1
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619
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Optimal delta-hedging frequency when gamma scalping
Is there a practical way to calculate a delta threshold for rebalancing when gamma scalping?
I know it does not effect expected P&L, but what about optimizing for P&L sharpe ratio after ...
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145
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question on risk reversal P/L example in Euan Sinclair's book 'positional option trading'
I am reading Euan's book, ‘positional option trading’ and have a question about risk reversal P/L example. Here is description 'Consider a 1-month risk reversal on a \$100 stock. The 20-delta put (91 ...
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Is there a strategy to increase the granularity of a deep in the money options contract?
My aim to get as close as possible to a "mini" deep in the money options contract. But mini contracts aren't generally available and buying regular 100 packs of high priced stocks is ...
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111
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In the CRR model, describe the strategy replicating the payoff $X=(S_T-K)^{ +} +a(K-S_{T-2})^{+ }$ for $a \neq 0$ [closed]
In the CRR model, describe the strategy replicating the payoff
$X=(S_T-K)^{ +} +a(K-S_{T-2})^{+ }$ for $a \neq 0$
$X$ consists of two parts:
European call option with strike price $K$ and expiration ...
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94
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Trading options - risk adjusted return
I have often wondered what kind of risk restrictions do traders of options in Hedge funds have but have not managed to find any information on this matter. I presume there must be some kind of measure ...
2
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1
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79
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Reverse convertible coupon determination
I had a question about the coupon level determination for a simple reverse convertible product.
Assuming risk free rates are 4% while premium on short put is 5%, typical text-books would then quote ...
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1
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564
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How to simulate a delta hedged option strategy
I'd like to do a montecarlo simulation of a $\Delta$ hedged strategy (long OTM call) to see how the PnL distributes on cases like:
$\sigma_{bought} < \sigma_{realized}$
$\sigma_{bought} > \...
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1
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425
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$\mathbb{Q}$ measure and $\mathbb{P}$ measure, trading strategy
I just want to be sure if my thinking is correct and does not have any flaws.
Let's define stock as a process $S$ (see the picture below) with real-world measure $\mathbb{P}$, where $p=0.9$ and Bonds ...
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2
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248
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I can’t understand why the premium of two butterflies with same strike but different broadness are approximately the same
Consider the following premiums of calls option with different strikes.
C90 = 57.35
C95 = 52.55
C100 = 47.3
C105 = 42.9
C110 = 38.25
In this case, the butterfly 90-100-110 cost 1 and the 95-100-105 ...
1
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0
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183
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Why should delta-neutral backspread always result in credit?
Natenberg mentions in chapter titled "Volatility Spreads" :
under the assumptions of a traditional theoretical pricing model, a delta-neutral ratio spread
where more options are purchased ...
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103
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What are some good books to get started with option theory? [duplicate]
Recently graduated in econometrics but starting to realize my knowledge is limited. Any and all tips are welcome!
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4k
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What is gamma to do with realized volatility?
I keep hearing that gamma is a bet on realized volatility. That is, if we are long gamma then we need higher realized volatility to come in the future in order to make a profit.
from other source:
If ...
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122
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Risk-managing vanilla books (sell-side)
I am interested in learning more about how traders risk-manage books of vanilla options. I presume there should be a fairly standard list of facts. For the moment, the area of interest is FX, as ...
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619
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Using delta as probability of an option expiring in the money
I understand that delta can be seen as a probability proxy for an option expiring in the money, as well as deltas for call options ranging from 0 to 1 and deltas for put options ranging from 0 to -1.
...
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1k
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What is a skew swap?
I'm watching a video where hedge fund manager Cem Karsan describes the basics of his strategy as a "skew swap". I understand that he's buying/selling index options at different maturities to ...
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Delta hedge swaption straddle
Let's say you decide to buy a 2Y10Y ATM swaption straddle (i.e. buy 10 million ATM payer swaption and buy 10 million ATM receiver swaption).
In order to delta hedge, I believe you would short the ...
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228
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Why does bull call spread shows higher payoff than bull put spread?
I am trying to compare bull call spread and bull put spread for equity index option. For the options where the put call parity holds, I am getting a different payoff for bull call spread and bull put ...
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2
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284
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Best/worst case scenario after selling OTM call option
You decide to sell a European call option that is currently 10% OTM (for example the strike = 100 and the current price = 90). You have to delta hedge to keep the delta of your position at 0.
What is ...
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223
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How to backtest multilegged options strategies?
I have got historical data for the index options. Now I am looking at backtesting some of my strategies with this historical data. I would like to backtest strategies like selling a straddle and ...
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0
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171
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Finding optimal calendar spreads and diagonals
I am looking for some pointers on risk/return profiles of calendar spreads and diagonals with different strikes and expiration dates, preferably based on historical backtests with SPY options.
Please ...
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1
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79
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On P and L of backspread
Does anyone know how the P and L on put backspread changes as a function of implied volatility and longer expiration?
One wants as much gamma as possible as far as I understand, in turn being related ...
2
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0
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600
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Breeden and Litzenberger formula for pricing state-contingent claims
I am reading these two papers Prices of State-Contingent Claims Implicit in Option Prices and Implied Risk-Neutral Distribution: A Comparison of Estimation Methods. I understand how we get the formula ...
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280
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Valuing Option Credit Spreads
I'm trying to come up with a metric to value and compare spreads. One way that I was doing this was to compute the Expected Value of the spread.
To calculate the expected value I used the following ...
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2
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355
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What is this option strategy called?
I have been playing with option strategies in order to understand the advantages/drawbacks of all of them.
Then I realized this type of strategy is not so advertised in the web and cannot find any &...
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0
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101
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What's a sensible way to measure correlation in the volatility surface?
Lets say I construct a parametrisation of the volatility surface that lets me infer dynamics i.e correlation between strike vol.
Is computing the sample correlation (after controlling for spot-vol ...
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1
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638
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Barrier Reverse Convertible
I am a finance student and during my free time I try to understand more financial products.
Today I have found a term sheet for a specific type of barrier reverse convertible but I couldn't understand ...
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1
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121
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What kind of stock's prices are most affected by option trading?
Option trading translates into stock trading via market maker hedging. For instance, if I buy a call option, the market maker will have to buy the stock to delta hedge. Thus, this should translate ...
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1
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297
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How to find the price variance of an infinitely expanding Binomial Tree?
How to find the price variance of an asset in a Binomial Tree Model? Suppose the price of the Stock is $S_t$ at time $t$ and it has a probability of $p$ that will go up $u$ times to $u \cdot S_t$ and ...
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Would it be possible to combine long butterfly with long straddle, achieving profit no matter the outcome?
This has been bugging me for a while, I feel like I'm missing something.
Simply put, a long butterfly will make profit if the price at maturity does not change much, as shown below
A long straddle is ...
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24
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Determine if max profit/loss on group of option legs is unlimited
Say you have a group of option legs for a symbol either for a strategy like a vertical spread or maybe an iron condor. Each with different strikes, expiration dates, etc. Without identifying the type ...
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1
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163
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Pairs trading on two options or option and underlying?
I have been looking into pairs trading strategies (stationary linear combination of multiple securities) for options. Multiple related options or option and underlying over small periods of time such ...
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474
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Call spread hedge
I'm trying to understand how a call spread is used for FX hedging. The example that my book gives is when we have USD receivables in 12 months which we want to convert to EUR and we want to hedge ...