Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [options]

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.

2
votes
0answers
140 views

Arbitrage from ATM option trading?

So I was testing out a collar options strategy (long put, short call, and long shares of the underlying stock) in a backtest for a school finance project, and the profits & losses are given by the ...
0
votes
1answer
80 views

Decreasing value of the Put option with increasing Time to maturity [closed]

Can you think of a situation when increasing the time to maturity lowers the value of a put option? If yes, show the example pls.
0
votes
1answer
112 views

How is the performance measure computed here?

The image is from John C Hull Textbook titled Options, Futures and Other Derivatives ( page 407 - Ninth Edition). The table above was obtained after computing the delta of stock price, shares ...
0
votes
1answer
99 views

Implied volatility for American options- time to expiration?

I am trying to compute the implied volatility of the OBM contract (on Euronext), using R, and I was wondering if, for the time to maturity, I should put the time until the contract expires or the time ...
3
votes
0answers
116 views

Usages of variance swap

I’m interested in variance swap. Considered from its feature, variance swap is used for betting the (historical) volatility of underlying asset. If we use it for hedge tool of Vega or Volga, does it ...
2
votes
1answer
62 views

Gordon's dividend valuation model: Ignoring optionality

Currently studying some papers on Behavioral Finance (the dividend puzzle), which employ some basic valuation models, calculating stock's fundamental value $P_t$. The most known is the discount of ...
5
votes
1answer
370 views

Comparing historical to implied volatility

As title states, I am trying to compare historical to implied volatility of a stock. I approximate the single implied volatility (30 days forward) of the stock by first finding 2 series that ...
8
votes
1answer
371 views

Swaptions Gamma Interview Questions

A while ago, I interviewed for a trader role and was given the below assignment (I didn't get the job). I wanted to revisit the questions to learn from my mistakes and be better prepared next time. ...
1
vote
2answers
109 views

Volatility Index for Industries

The VIX index is based on the S&P, I am wondering the feasibility of creating a VIX index for each of the S&P 500 Industries? Would this even be possible?
0
votes
1answer
51 views

Futures options data [duplicate]

I've been looking into futures options data for my thesis. What are some sources to get futures options data for an affordable price?
1
vote
0answers
173 views

Barrier Shifts - necessary for up-and-out call / down-and-in put?

Recently I came across the topic of barrier shift for barrier/digital options. I found that most examples centred around down-and-in puts / up-and-in call / digitals. I am wondering if we need ...
1
vote
0answers
351 views

Cash-or-nothing and Asset-or-nothing price derivation

I was wondering how to derive the price of a cash-or-nothing and asset-or-nothing option by trying to work out the expectation under the risk-neutral measure, while assuming that the underlying ...
1
vote
2answers
2k views

Price volatility and yield volatility

This question is a bit confused, but please bear with me. Now and then I see people use the terminology "price volatility" and "yield volatility" in connection with bond options. I understand the ...
1
vote
1answer
108 views

Why futures pricing not calculated like options?

I have read about futures and options ( from online resources ). I only have the basic understanding,not math heavy ( for eg. for Black Scholes I know only the intuitive idea from the khan academy ...
-2
votes
1answer
57 views

Strategy to write uncovered put and call

I found a strategy called "covered combo" where you sell 1 put, 1 call, and purchase 100 shares of the underlying; is there a name for doing this without purchasing the 100 shares?
0
votes
1answer
42 views

Why can't an options writer volunteer for assignment on exercise

I'm asking more for a policy perspective. I called the brokerage firms I use and asked about volunteering myself for assignment if a written OTM option becomes ITM and a holder somewhere exercises. ...
0
votes
1answer
109 views

ATMF FX straddle delta

I am trying to price an ATMF FX (say Usdidr) straddle - the fxdelta for call and put leg are quite different with put fxdelta being higher than call delta. (Absolute values) Why would this be the case?...
0
votes
1answer
31 views

Is the assignment of exercised options “truly” random

Everyone seems to say that assignment of exercised options is random; does it just appear random to an outside viewer or does the exchange pick a name from hat for assignment?
0
votes
1answer
125 views

Buy and Hold P&L for options

I want to calculate the buy and hold P&L for an option in the following "extreme" scenario: Valuation date = t Calculate B&H P&L from t to t+1 Option maturity: t+2 ATM option Due to the ...
2
votes
2answers
680 views

Why is the fair strike of a variance swap called implied volatility?

Probably an easy question for some, but I noticed most of my co-workers call the fair strike of a variance swap implied volatility. Why is that ?
1
vote
1answer
72 views

Benefits of systematically trading OTC options instead of exchange-traded options

Is there a case to trade liquid OTC options (FX, single-name equity, swaptions, etc.) instead of exchange-traded index options in a systematic strategy?
0
votes
2answers
117 views

P&L Calculation of Option Strategy

I have designed a call writing option strategy, where I am rolling the options upon expiry, i.e., my portfolio consists of one short call position at any given time. I have a time series of the value ...
1
vote
3answers
976 views

Can we trade option spreads with more than 4 option legs?

I am wondering why most online brokers restrict multi-legged options spread trades to have a maximum of four legs? Also, is there a broker that allows you to trade say 6 or 8 legged option spreads.
3
votes
1answer
180 views

Conditional Probability - Geometric Brownian Motion

Background I am trying to find a way to price a variant of a gap option by using closed-end expressions. What makes this option a bit tricky is that it can be exercised at four predetermined dates (t=...
14
votes
4answers
5k views

Why are there still manual market makers in options

Why are manual market makers still predominant in options markets? Why haven't algorithms replaced these market makers, as they have for liquid stocks for example?
1
vote
1answer
140 views

Swing option pricing in QuantLib-Python

Is it possible to use the QuantLib python wrapper to price swing options? I've seen the QuantLib Github repository contains a C++ implementation, swingoption.cpp, but have found no reference to swing ...
2
votes
1answer
122 views

4 Leg Synthetic Stock Options Strategy

Traditionally, a synthetic stock option involves buying a call and writing a put at the same strike price. I recently encountered an ETF prospectus that claims to achieve this exposure with a four leg ...
1
vote
0answers
61 views

Importance sampling procedure

I need someone to explain me the importance sampling method. There are several topics but the drift parameter $\theta$ when adjusting is never discussed. I read publications where $\theta$ was used ...
1
vote
3answers
276 views

From Butterfly Price to Probability of $S_T$ Falling within a Range

If a butterfly in the limit represents a probability (by the Breeden-Litzenberger result), what can be said about the relative likelihood of a random variable $S_0$ from the price of a vanilla-option ...
2
votes
1answer
627 views

FX Delta Volatility

I am looking at a Bloomberg FX vol surface quoted in 10 and 25 delta BF and RR. I know how to convert the RR and BF vols int 10D and 25D call and put vols, but I can't seem to imply a strike price ...
3
votes
1answer
285 views

Option Strategy: Python Implementation Advice

I've been tasked to create and backtest an option strategy. The strategy, in vague terms, is to essentially write call options on securities in a universe, i.e., selling insurance. I have an idea of ...
0
votes
1answer
42 views

How skew in vertical put spreads change the payoff?

An spx four strikes wide Put Spread from at the money has a payoff ratio of 1 to 2 meaning if the Premium on the spread is \$10 your reward is \$20; yet the corresponding Call Spread with the same ...
6
votes
3answers
3k views

Greeks for binary option?

How to derive an analytic formula of greeks for binary option? We know a vanilla option can be constructed by an asset-or-nothing call and a cash-or-nothing call, does that help us? Wikipedia states ...
1
vote
0answers
1k views

How to derive the Greek theta from Black-Scholes solution formula?

Which are the steps to compute the theta greek from the BS solution: $$c(t, x) = xN(d_+(T-t,x)) - K e ^{-r(T-t)}N(d_-(T-t,x))$$ with: $$ d_\pm (T-t, x) = \dfrac{1}{\sigma \sqrt{T-t}} \left[ \ln \...
5
votes
2answers
301 views

Portfolio Analysis Interview Question

Suppose you have a portfolio of 100 options. Then I give you a subset of trades in which you can make. The trades consist of possible buys/sells of different options from different clients. Discuss ...
2
votes
2answers
135 views

Price an option whose strike price is always lower than the future price of the security

Suppose it is known that the price of a certain security after one period will be one of the $m$ values $s_1,\ldots,s_m$. What should be the cost of an option to purchase the security at time $1$ for ...
0
votes
1answer
72 views

option price change

I am trying to match change in European Call option price to greeks using the calculator here e.g. for S=95, K=100, r=0, V=25, t=5 and dividend=0, I get ...
0
votes
1answer
36 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,...
5
votes
2answers
213 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 ...
5
votes
2answers
269 views

Can the concept of negative probabilities be used to price a call option?

Edit: I'm a dumbass. The thing below is supposed to be just the motivation of asking. I want to ask for below and in general, hehe. Assume that we have a general one-period market model consisting of ...
1
vote
1answer
96 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 ...
1
vote
0answers
116 views

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 }...
3
votes
0answers
259 views

Derivation of the Pnl of a Delta Hedged Straddle and Risk Reversal

In the link below, in the text it states the following equations: Delta-hedged straddle P&L = Volatility Risk-premium ×| Straddle Vega | and Delta-hedged risk-reversal P&L: ...
1
vote
0answers
136 views

SPX/VIX Implied Beta Calculation

In https://globalmarkets.bnpparibas.com/r/Volatility_Express_20171128.pdf?t=BG3REXwMP3NZJRN7wY5Vt&stream=true, it states that 3M VIX/SPX implied Beta = (VIX 3M IVOL*VIX 3M futures)/SPX 3M IVOL ...
1
vote
0answers
105 views

VIX/SPX Realized Beta Calculation

In https://globalmarkets.bnpparibas.com/r/Volatility_Express_20171128.pdf?t=BG3REXwMP3NZJRN7wY5Vt&stream=true, it states that 3M VIX/SPX realized Beta calculation: Use a blend of 1st, 2nd and 3 ...
1
vote
0answers
64 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 ...
2
votes
0answers
84 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, ...
0
votes
1answer
137 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 ...
2
votes
0answers
46 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 ...
0
votes
2answers
231 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 ...