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Questions tagged [theta]

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4
votes
1answer
93 views

Splitting theta from vol carry

What is the best way to splitting theta and vol carry on say a long calendar trade? Basically trying to split the "good" carry component of a trade from the "bad" carry (theta) which could be earned ...
1
vote
1answer
153 views

Positive theta on a long put?

I am trying to hand-price options under the Black-Scholes model. Given the following parameters: Stock price: $12.53$ Strike price: $14.00$ Risk-free rate: $0.03$ Annualized Volatility: $0.10$ Time ...
0
votes
1answer
110 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 ...
1
vote
0answers
39 views

Positive Heston model theta

Under the Heston model, is there a concrete example where the theta $\frac{\partial C}{\partial t}>0$ where $C$ is the price of a European call?
1
vote
1answer
194 views

Black Scholes Theta Finite difference

I am trying to obtain the Theta from Closed Formula by using Finite Difference methods and I observe some discrepancies. For instance, here with the following parameters: Spot:50, Strike:50, Rate: 0....
2
votes
2answers
201 views

Gamma portfolio trading

It is being said that in a long-gamma portfolio, you follow a buy-low sell-high strategy for the underlying stock, which causes you to make profit. The Theta for this portfolio is negative. But it is ...
3
votes
3answers
5k views

Carry calculation on an interest rate swap

I was hoping that I can get help on a simple yet not so straight forward topic : Looking at valuing the costs of holding an IRS in the books this would entail marketed-to-market due to price ...
1
vote
0answers
751 views

how to calculate the theta of a swap?

Suppose I have a swap contract to exchange 1 mio USD with 66.15 mio INR, 3 months later, current Spot is 65.04, how could I calculate the theta of this deal?
5
votes
2answers
593 views

Mathematical underpinnings of the square root of time rule

Often when I am reading about options pricing (and/or options greeks) the square root of time continually comes up. What the mathematical justification for why this keeps on turning up?
1
vote
2answers
3k views

How to calculate the theta of a bond?

For calculating P&L from interest rate risk, we often use PV01 to estimate the day over day P&L by multiplying PV01 with a change in curve. Is there any approach to calculate theta P&L in ...
1
vote
1answer
163 views

Rate of Options decay

I know "Time decay accelerates on nearing expiry". But I want to know the rate of acceleration. How curvy is the theta curve? Answers could be like, Provided IV is stable, in a 3-month contract, ...
2
votes
1answer
551 views

Estimating profit/loss of a Gold Futures option using Theta and Gamma

HELP! I am trying to find how much the underlying price of a gold futures option must move in order to breakeven on owning an option for a day. I was hoping someone versed in pricing options could ...
5
votes
2answers
711 views

is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?

I've read an answer here that say if your security has vega, then it has gamma and theta. is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?
4
votes
1answer
1k views

How to manage evaluation date changes in QuantLib while using ImpliedTermStructure Class

I will not attach the whole code 'cause it would be just a huge waste of space and it would be not useful for this question's purpose. What I am going to attach here is a snippet code and its output, ...
0
votes
1answer
579 views

Question about option theta

I have a question about a option theta. When I evaluate the option theta of near expiry put option using Black-Scholes formula given the data as follow: Index Level = 20,500 Strike Price = 20,000 ...
4
votes
2answers
3k views

Theta's effect for OTM options

How does $\Theta$ change for deep out-of-the money options? Looking at the below graph, it seems the time decay is highest for ATM options and increases rapidly as we approach maturity of the option. ...