Questions tagged [discrete-dividends]
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22 questions
2 votes
1 answer
236 views
Difference in value - American call and a European call - stock pays a dividend
For a stock paying a single dividend prior to expiration, I would like to estimate the difference in value between an American call and a European call with the same expiration, strike and underlier. ...
3 votes
1 answer
310 views
Unable to correctly implement the pricing of an American call with multiple discrete dividends using the Clenshaw-Curtis quadrature
I'm not a quant, just an enthusiast. I am trying to implement in C++ the methodology published in the paper "Fast Quadrature Methods for Options with Discrete Dividends", by Thakoor and ...
0 votes
0 answers
510 views
Dupire Formula with Discrete Cash Dividend
For stocks when there is cash dividend, the Dupire formula should still hold according to Bergomi. In the book "Stochastic Volatility Modeling", he says: In the presence of cash-amount ...
-1 votes
1 answer
410 views
What is the arbitrage opportunity and strategy here? [closed]
Suppose that the current stock price is $€100$, the exercise price is $€100$, the annually compounded interest rate is 5 percent, the stock pays a $€1$ dividend in the next instant, and the quoted ...
2 votes
1 answer
2k views
QuantLib Inaccurate - American Put Option with Discrete Dividends
I'm trying to use the QuantLib library to price American options that pay discrete dividends. The call options are priced with good accuracy (generally <0.1% error), however the same inputs for a ...
5 votes
0 answers
173 views
Wealth process in the Black-Scholes model with discrete dividends
Good evening, The following problem is the sequel of a previous post I made here a few days ago. Consider the Black-Scholes model with discrete dividends in the interval $[0,T]$. This means that ...
1 vote
0 answers
513 views
Black-Scholes model with discrete dividend payments
Consider the Black-Scholes model with discrete dividends in the interval $[0,T]$. This means that there's a sequence of dates such that, $$0 < t_1 < \dots < t_k < \dots < t_n < T $$ ...
3 votes
1 answer
1k views
Extracting implied dividends from American options
I am using end of day options data and want to extract discrete dividend information contained in the option prices. I am doing this for ETFs like SPY where I know the dividend schedule. These are the ...
0 votes
1 answer
546 views
Replication (binomial tree)
Hey what is the replication strategy on the binomial tree when I have for example 10 step model and dividend is paid at step 3? I have a well-written price tree but I do not know what the replication ...
1 vote
1 answer
581 views
Discrete Dividend GBM process
I'm trying to derive the risk neutral process for a stock with both continuous and discrete dividends. In particular, suppose the forward level process at time, $t$ is given by $F(S_t, t, T) = e^{(r-y)...
0 votes
0 answers
73 views
american option confusion
I've coded up a binomial tree version of the "Known Dollar Dividend" part of section 21.3 of Hull 10th Edition. I reproduce the answer in the book's example and also reproduce correctly a ...
2 votes
1 answer
278 views
Calculating the theoretically fair value of this futures contract by assuming monthly compounding
I need a help for the following question: A stock index is constructed by including only two stocks in the index. One of the stocks (Stock $1$) currently sells for $250$ dollar and the other stock (...
0 votes
0 answers
100 views
Market model for european/american options on underlying paying discrete cash (and maybe proportional) dividends
Black Scholes is the market model for european and american options on an underlying paying no dividends. What is the standard market model for european or american options of underlyings paying ...
0 votes
0 answers
80 views
Value of portfolio with fixed discrete dividends
I know that this is a very simple question, but i want to make sure to grasp the concept of ex dividend and value of portfolio. Suppose that we have a two period binomial tree of a stock with initial ...
8 votes
1 answer
5k views
Issue Using QuantLib and Python to Calculate Price and Greeks for American Option With Discrete Dividends
I am having trouble using QuantLib with Python to calculate American options with discrete dividends. I am using Anaconda, Spyder, Python 3.6, and the most recent version of QuantLib. I created ...