Questions tagged [discrete-dividends]

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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 ...
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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 ...
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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, $$0 < t_1 < \dots < t_k < \dots < t_n < T $$ ...
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1 vote
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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 ...
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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 ...
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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)...
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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 ...
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2 votes
1 answer
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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 (...
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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 ...
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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 ...
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7 votes
1 answer
3k 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 ...
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How to understand the compatibility between the discrete and continuous dividend payments

We know that a stock has discrete dividend payings $D_i$ at $t_i$, in the pricing of a forward, we will calculate the discount cash flows $$\sum e^{-rt_i}D_i$$ then minus the sum of discount cash ...
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is there a dependence between an annotation date of stocks dividend payment and the end fiscal year

I know that the fiscal year in USA from 1 October till 30 September. I'd like to know: is whether there a dependence between a declaration date and an end of fiscal year? I think this dependence ...
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1 answer
932 views

Calculate put price with Black-Scholes and one discrete dividend

I try to solve this exercise: a) Calclculate the price of a 3-month European put option on a non-dividend-paying stock with a strike price of 45 when the current stock price is 40, the risk-free ...
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11 votes
2 answers
5k views

Black-Scholes formula with deterministic discrete dividend (Musiela approach)

For deterministic discrete dividend, there are two approach Musiela approach, works when every dividend are paid at maturity of the option. Hull approach, works when every dividend are paid ...
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2 votes
1 answer
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american option and cash dividends

Can someoe help with this : What is the precise arbitrage argument demonstrating that the price of an american option should be continuous around an ex-dividend date? Thanks
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12 votes
1 answer
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Implied dividend estimation

I am looking at two different ways of estimating the expected / implied dividends from market data. 1. Dividend futures I know that this asset class is not very liquid and might not be ...
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3 votes
1 answer
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Multiple Discrete Dividends

Using the recombining tree model as described in Haug's Option Pricing Forumla one can factor in multiple future discrete dividends when calculating the option value and greeks. What's unclear is ...
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