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.

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What is the use of undiscounted Futures/Option Prices

Reading the great book of Gatheral on Vol Surfaces (link) I can't help but notice that throughout he uses undiscounted option prices (though he obviously never assumed rates to be zero). See e.g. ...
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129 views

How is FX cross rates options are priced?

Say I have market for EUR/USD and also USD/CAD, how would EUR/CAD would be priced and hedged in practice? What are good papers/book chapters to read on that? (Assuming basic knowledge already on ...
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42 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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80 views

Different scaling conventions for greeks

I have been following this tutorial (http://gouthamanbalaraman.com/blog/value-options-commodity-futures-black-formula-quantlib-python.html). It says in the conclusion and I quote:It is worth pointing ...
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140 views

Higher Vega with ATM options when Spot is higher

Which would have larger vega, an ATM call option at spot 100 or an ATM call option at spot 200. Apparently the answer is the one with ATM at spot 200. I am not sure how you get this answer. Why ...
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61 views

Different versions of Put-Call Parity

Why is it stated sometimes that $C - P = F$ and in wikipedia it statest that $C - P = D(F-K)$, where D is the discount factor and K is the strike (of both the call and put?). Is this just affected ...
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153 views

How to show arbitrage when a European option price is greater than the no-arbitrage price?

My example is: Current price = 20, If it goes up it'll be worth 22, if it goes down it will be worth 18 risk free rate: 12%, time = 3 months Strike = 21 call option is worth 0.633 I know that if the ...
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110 views

How to consider open interest & volume change in option pricing?

Is there publically available option pricing model or theory that considers open interest/volume % change? I believe that laws of supply and demand effect options like any tradable good. However, I ...
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796 views

What is Dual Delta?

I understand that it is the partial derivative of option price with respect to strike. What is it used for though? What does your dual delta signify?
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127 views

Isn't this modified stop-loss strategy an arbitrage?

In John Hull's The Book, section 18.3 he briefly discussed a stop-loss strategy for writing a call option: buy one share of stock whenever $S_t>K$ and sell it otherwise (except at time $0$: if $S_0\...
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42 views

to interpret open interest

I am interested to ask about how to interpret option open interest. For small cap stock options, it makes sense to see open interest as liquidity. On the other hand, for big name stock options where ...
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149 views

Yahoo options chain pricing vs stock broker pricing

I am having hard time understanding the price difference of yahoo option chains. For example: Yahoo shows for TWTR FEB 17, 2017 CALL @16.50 option ...
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193 views

Calculating the decay of a leveraged ETF

https://www.math.nyu.edu/faculty/avellane/thesis_Zhang.pdf There is a formula given above but the immediate problem is that using the volatility for $\alpha$ tends to exaggerate decay since it's not ...
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385 views

Portfolio replication option pricing: Money market position

Why when replicating a call option, the money market position (bond, risk free investment) is negative and when replicating a call option, the money market position is positive? Please explain ...
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117 views

Compute stock price probability distribution from option data (IB method & negative probabilities issue)

I'm using a procedure as described in the interactive brokers article here (https://www.interactivebrokers.com/en/index.php?f=5910&ns=T) to compute a probability distribution from option (call) ...
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137 views

hedging of a spread option with call

We have 2 underlying $S^{1}$ and $S^{2}$ with BS dynamic under the risk-neutral measure (r constant...) I found the (big) PDE satisfied by the price function $u(t,x,y)$ of a call spread whose payoff ...
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768 views

Delta Volatility Surface Usage to value the option

I always find myself in the unknown charted territory when it comes to non-Linear Instruments. I come across the scenario, How to value the option using Delta Vol surface? Example I have CME traded ...
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206 views

Discrete Hedging of Options

Assume that a stock $S_t$ follows simple geometric Brownian motion. Let's say we sold option whose payoff is $f(S_T)$. Now, we are only allowed to trade 2 times in the interval [0,T]. What kind of ...
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84 views

Benchmarking option pricing under stochastic interest rates

I priced a long-term option (10 or 20 years) using two different models: one assumes constant interest rates, the other assumes stochastic interest rates. Is there a way (e.g. a benchmark) to ...
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169 views

negative probabilities in the bivariate tree heston model

I am trying to implement the bivariate tree approach for the Heston model by Beliaeva and Nawalkha. I currently have the problem that given the specifications in their examples, I always obtain ...
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1answer
54 views

Black Scholes Replication If Underlying Does Not Move?

Let's say you are long a call and want to replicate that call buy being short underlying and long bonds. If the underlying moves up in the next period but not enough to cover theta, the option ...
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1answer
71 views

transaction costs for day trading options

I want to day trade SPY options by buying at the open and closing the position later in the day, but I need to know approximately how far into the money the contract will have to be for me to break ...
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250 views

Why does option pricing not depend on probabilities in a binomial tree style valuation

I am new into learning option pricing and read that option pricing using binomial valuation does not depend on probabilities (real or risk neutral). Example: A 1 period binomial tree with $u = 1/d = ...
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257 views

Computing loss of Call / Stock Purchase

A seller of an European Call, can, subjectively have unbounded losses. This loss may be mitigated by buying the stock (covered call). In this case,, the loss will be bounded at A. How would one ...
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124 views

In a FX options book, is the sum of P&L equal to the portfolio value?

For a portfolio containing FX options, would the sum of P&L for each option be the portfolio value?
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110 views

Why is accuracy important in pricing American Options?

I see a lot of academic papers talking about accuracy in pricing American Options (and finding analytic solutions). Why is there so much interest in this topic? Isn't the option price set by the ...