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A contract that gives the owner the right, but not the obligation, to buy or sell a security at a fixed price in the future.

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10 views

What is the strategy for this piece of information

Heavy Math background, very light finance background: Suppose I have a stock $S$ whose price is measured by the market once on times $t_0$ $t_1$ $t_2$. Now the market has some opinion for how the ...
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0answers
24 views

Importance sampling weights

I read topics on that subject on this forum but nothing is approaching my problem. Say I'm dealing with a 1Y max put callable with an European Down And In barrier. Say $S_0=100$, barrier $H=80$ and $...
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0answers
23 views

AFV Model Implementation for Convertible Bonds

I am reading the original AFV model paper for pricing convertible bonds. https://cs.uwaterloo.ca/~paforsyt/convert.pdf The paper is very technical and I am having trouble finding the actual PDE's to ...
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42 views
+50

Compo Feature in Asian Option on Futures

I'm pricing an Asian option on futures using Turnbull–Wakeman (other suggestions welcome) where the average is defined as $A _ { t _ { 1 } , t _ { n } } ^ { A , f } = \frac { 1 } { n } \sum _ { i = 1 }...
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0answers
20 views

Setting strike price/rate of an option [on hold]

Is there a systematic way of setting your strike price/rate of your option, rather than just having an explicit view on the underlying, e.g., "I see the stock price rising from 100 to 110"? Thanks, ...
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1answer
44 views

VaR for Options portfolio

I'm asked to estimate VaR for Options portfolio. Firstly, I wanna try to estimate VaR for AAPL stock european call option using Historical Simulation but I can't find any Historical Data. I tried ...
1
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0answers
30 views

Do you receive premium from selling VXTY futures?

I am having some difficulty understanding VXTY futures and how they are priced. The contract specs say it is priced off of OZN options (10yr UST futures options). I understand there is a premium ...
1
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0answers
45 views

Control Variate Barrier Basket Option

I need to improve the speed of convergence of PRNG Monte Carlo. I'm opening a new thread for that purpose and I have question / need confirmation about the algorithm. I'm pricing options with Heston, ...
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0answers
22 views

Finding the distribution and moments of returns with GARCH models (in R if possible)

I understand the GARCH type models and I know how to fit a model to a time series. But, there is a paper which calculates the moments of the distribution of returns (Variance, Skewness, and Kurtosis) ...
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2answers
121 views

Quasi Monte Carlo

I read several articles regarding quasi Monte Carlo algorithm with Sobol sequences but I still have questions. I implemented MC simulations with an ordinary random generator in matlab. I'd like to ...
1
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0answers
13 views

Pricing options with 0 or negative underlying values

I am trying to calculate the value of an option whose underlying is the calendar spread between two months for a commodity (front month Brent vs 2nd month), usually known as a calendar spread option. ...
1
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1answer
70 views

Option greeks as dollar P&L

If I write the value of an option as O(S, K, T, V), where S is the underlying price, K is the strike, T is the time to expiry and V the implied volatility, how can I compute the dollar amount that I ...
2
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0answers
42 views

Extrapolating implied dividend yield

I have liquid option quotes for 1, 2, 3 and 4y expiries. I was able to imply the continuous dividend yield for all of those. How would you extrapolate such implied yield to 5 and 6y expiries?
6
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2answers
149 views

Vega of exotic options

I'am wondering if there is a standard definition to the Vega of an exotic product when the underlying model is not Black-Scholes. Let me give some examples : What is the Vega if the price is ...
0
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0answers
38 views

Pricing callable reverse convertible

Say I'm dealing with a callable reverse convertible, 1Y max with quarterly guaranteed coupons. I understand how to price a reverse, as well as autocalls. However I have a doubt regarding the pricing ...
2
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0answers
61 views

Exotic derivatives - Replication

I would like to replicate the payoff Max(0, Min(S1, K) - S2) with a combination of the following derivatives: -> option on S1, strike of our choice -> option on (S1-S2), strike of our choice -> A ...
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0answers
36 views

Can someone give a simple example of how stochastic volatility leads to volatility skew/smile?

I've been trying to understand skew and volatility, unfortunately I don't have the mathematical background to necessarily dive into some of the papers, I've tried but the mathematics can overtake me. ...
2
votes
1answer
53 views

What does $\int dS \phi (S - K)$ mean in Gatheral's book?

In Gatheral's book on stochastic volatility, he writes the price of an option as $$\int_K^\infty dS \phi (S - K)$$ where $\phi$ is a density. Where does this come from? I have multiple questions: ...
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0answers
18 views

Black 76, finding current forward price and interest rate for a commodity option

Lets say the commodity in question is gas, flowing everyday for a period of time, and my curve data format is "DataEntryDate, FlowingFrom, FlowingTo". To get the forward price should I find the most ...
4
votes
3answers
268 views

Forward implied volatility

Can one price accurately by only using vanilla options a derivative that is exposed/sensitive mainly to the forward volatility ? Here are some examples : a) In equity markets : ...
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1answer
23 views

Large Differences in Open Interest between Similar Strikes

Consider the image attached, showing a part of the options chain for the NDX expiring July 20. What can possible explain such large differences in Open Interest across similar strikes, e.g. 818 at 7,...
1
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1answer
52 views

Options volatility margin

A basic question. When traders structure a product in which they are long an option, how is the volatility surface shifted to take into account a margin ? Is it a multiplicative coefficient, say 95% ...
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0answers
39 views

Calculating daily underlying move from options volatility?

My broker has provided a risk report that shows our options book shocked at various standard deviation moves of the underlying. Their report has the future at $66.64, ATM Vol at 23.74% with 2 days ...
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1answer
44 views

Options Pricing [closed]

I bought Sep and Oct '18 puts on WTI futures strike price 58, two weeks ago. They increased in value on both recent 4% down moves. Today, the price of Oil is roughly flat. Why have the value of my ...
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0answers
28 views

how to derive vol curve for cross rate

For example I can get vol curves for two assets, say XAU/USD and XAG/USD for time T, I can calculate their asset correlation, obtain probability dension functions. Is there a proper way to synthesize ...
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0answers
61 views

How to construct a volatility surface?

Can someone please help me understand how I need to construct a volatility surface? I have prices of a set of interest rate swaps with different terms and at the money options with different expiries....
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0answers
21 views

How does REG-T apply to non-standard option strategies

I'm trying to estimate the margin impacts from non-standard (e.g. not in the CBOE manual) option strategies. How do the rules apply to things like this: (All European) ...
1
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0answers
26 views

Relation between one touch and binary option

Is there a relation between the price of a one touch option and the price of a binary option? By one touch option, I mean an option that pays off a fixed amount if the price of the underlying is ...
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1answer
47 views

Dynamic hedging pnl when pinning

Dynamic hedging, if successfully implemented, should ensure the dynamic hedge earns the exact opposite of the corresponding option position. However, if we buy an otm option, and the stock goes in ...
3
votes
1answer
75 views

Estimating at-the-money volatility where at-the-money option is absent from the market

I am trying to estimate the intraday ATM volatility in a market where the the strike prices are relatively sparse thus the ATM option may not exist (let's say the closest strike is about 2% away from ...
2
votes
2answers
124 views

Pricing Corridor Variance Spreads

Recently in the equity derivatives market there have been some trades on what are known as "Corridor Variance Spreads." The large equity derivative dealers and investment banks have been promoting it ...
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2answers
109 views

Can I use implied volatility of stocks to predict the next days or weeks top 10 gainers and losers?

Is it true if I said that the stocks with the highest implied volatility for its options with just one day to expiration today will inadvertently be the stocks with the largest price movements on the ...
1
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1answer
94 views

Is options max pain a useful predictor?

Have there been any academic or industry papers on options max pain? There seems to be a widespread belief (among retail traders) that the underlying price 'gravitates' toward the strike at which the ...
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0answers
53 views

Best Way of Interpreting Black-Scholes Formula [duplicate]

I'm curious to know the best interpretation of the Black-Scholes formula for a European equity call option: $$C(S,t)=S_tN(d_1)-Ke^{-r(T-t)}N(d_2),$$ where $d_1=\frac{1}{\sigma\sqrt{T-t}}\big[\ln(\...
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0answers
43 views

Convert long/short stock portfolio into one sector ETF position

Assuming a portfolio contains long and short positions in stocks that are in the same sector, is it possible to create a similar overall position using only the sector ETF to which the constituents ...
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1answer
66 views

fx vanilla option's forward delta in single currency

According to Black formula , a vanila fx call option's pricing is $$C(F,\tau) = D[N(d_+)F - N(d_-)K]$$ , where $\tau$ is the time to expiry, $D =e^{-r\tau}$ the discount factor, $F=S/D$ the outright ...
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1answer
50 views

What vol to use when implying strike from delta?

I have a set of implied vols in delta space and want to derive for each delta the corresponding strike. I understand the procedure, but I am not sure what implied vol I should use, whether this has to ...
2
votes
1answer
97 views

Volatility scenario generation for value-at-risk

I have the following problem: For a single name plain vanilla equity option calculate 1y VaR for given confidence level. Is there any state-of-the-art or current market practice known on how to ...
1
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1answer
71 views

Upper bound option price in volatility dimension

All, I have a theoretical question about the value of an option when spot price goes to infinity as a function of volatility going to infinity. I know that for a call option: The option value ...
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0answers
42 views

Difference end-of-day price and closing price of option

Is there a difference between end-of-day prices of an option (e.g. Barclays VXX) and the closing price of that option? If so, what is the difference. I cannot find anything clear about this anywhere, ...
2
votes
1answer
135 views

SABR PDE spot/forward upper boundary condition implementation

When running my Finite Difference code, I observe something odd. Although implementing a classical (non-reverting) SABR model, I initialized the variables such that it should be equal to Black-...
1
vote
1answer
83 views

Pricing an option with sparse data, high underlying volatility and returns

I'm currently pricing American and European options on an underlying with sparse data (interpolated), high annual volatility and returns over the last year around 300%. The product isn't similar to ...
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0answers
33 views

Return / yield of an ATM-Call Option on a zero coupon bond

The zero-coupon bond with unit face value and maturity S for a call option with maturity T and strike K is given by: The bond prices $P(t,T)$ and $P(t,S)$ $$\begin{aligned} ZBC(t,T,S,K) = & P(t,S) ...
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0answers
46 views

Equity repo close to money market rates?

I've noticed that the repo rate (here I mean the effective financing rate of the forward position in stock) implied from synthetic forwards is almost the same as money market benchmark (XXXibor 3M) ...
3
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0answers
43 views

American CRR implied vols

Given I have all other parameters lined up with the market (borrow rate, dividends...), if I imply volatility using CRR tree from american call and put with the same strike and expiry, will I always ...
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2answers
61 views

How do you factor in skew when assessing implied volatility for a non-atm option?

If you think volatility is too cheap, how do you decide if an ATM call or an upside call (which trades at lower vol because of skew) is better? Let's say you have a $100 stock. You think the stock ...
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0answers
55 views

Longstaff Schwartz Algrorithm in R

I recently discovered the LSMonteCarlo library in R which basically determines the price of American options via Longstaff Schwartz method. I tried the ...
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0answers
28 views

Intraday option price data European stocks and indices

I am looking for intraday option price data for stocks and indices listed on European markets (SX5E, SMI, DAX, etc). Ideally, I would like to get files as clean as those provided by ivolatility for US ...
3
votes
1answer
147 views

derivation of general black-scholes formula

I would like to find a derivation for the Black-Scholes fomrula in the general case (i.e., where the volatility function $\sigma : [0,T] \to \mathbb{R}^+$ and the investment rate $r: [0,T] \to \mathbb{...
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0answers
25 views

Trying to understand Strike Adjusted Spread, can someone explain using a simple example?

I should start by saying that I am not a quant, I am someone interested in options but I perhaps lack the mathematics background to always follow along. I recently stumbled upon a terrific article ...