Questions tagged [dividends]

A dividend is a payment made by a corporation to its shareholders, usually as a distribution of profits.

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26
votes
5answers
51k views

Difference between S&P 500 index and S&P 500 Total Return index?

There's the standard S&P 500 index (SPX) and the rarer used S&P 500 Total Return index (SPTR). If you compare graphs, you'll find that the latter grows faster. Supposedly, SPTR assumes ...
18
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1answer
1k views

Stochastic modelling of derivatives on dividends

I consider pricing and risk analysis of derivatives on dividends of the members of equity indices (such as Dow Jones EuroStoxx). There are options but I focus on futures. What are common stochastic ...
12
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1answer
9k views

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 ...
9
votes
2answers
704 views

Term structure of Equity returns

What is the meaning of term structure of equity returns. I know what term structure of interest rates means, but somehow i cant seem to relate them. Also, how would we measure them? Also in this paper ...
7
votes
2answers
757 views

Cochrane on Return Predictability

Being a lover of Sir Arthur Conan Doyle's work, I picked up a copy of Cochrane’s 2008 paper, The Dog That Did Not Bark: A Defense of Return Predictability and read: If returns are not predictable, ...
7
votes
1answer
675 views

Implied vol and model calibration for an american option on a dividend paying stock - is there a market standard pricing model?

In terms of calibrating a pricing model to observed prices for American options on a dividend paying stock, is there a standard way of doing this in practice? My initial thought was to use CRR ...
5
votes
1answer
3k views

Implied Dividend from American Options (in practice)

I just tried to price the implied dividend for a few active, liquid options markets using current prices and I am not convinced my results are accurate. I am using American options, and using the put-...
5
votes
5answers
7k views

Option pricing ? Where to get the dividend yield from?

I'm trying to apply Black & Scholes formula for a real example to price a vanilla equity option but I'm strugling a little bit whith the dividend yield. Let's assume I have a stock that trades at ...
5
votes
0answers
88 views

How to price lookback american option when its payment is distributed during its life

I would like to price a floating strike american lookback with a particular feature: I don't want to charge upfront the client, rather I would like to insert a "running fee", some sort of a dividend. ...
5
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0answers
180 views

Dividend Index Futures

My question is dealing with the proportionality between Dividend Index Futures prices and Index prices. Indeed, we in the past we used to do a simple regression between these variables and use the ...
4
votes
3answers
1k views

Black Scholes and high dividend paying stocks

I understood there were 3 alternative methods of dealing with dividends in BS: 1) using a continuous dividend yield as an input; or 2) setting dividends to zero and subtracting the PV of divs from the ...
4
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0answers
99 views

Replication of a dividend swap

I wanted to know how banks replicate dividend swap, my best guess is to take the spread between a Total Return Swap and a Forward.
4
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0answers
172 views

Risk factors for derivatives on dividends

I consider pricing and risk analysis of derivatives on dividends of the members of equity indices (such as Dow Jones EuroStoxx). There are options but I focus on futures. What are the main risk ...
3
votes
5answers
2k views

Equity Forward Price calculation

In the book of John Hull, the price of an equity forward on a dividend paying stock is formulated as: $$F_0 = (S_0 - I)e^{rT} $$ where $r$ is the risk free rate and $I$ is present value of the stream ...
3
votes
2answers
227 views

A question about exercise from "Paul Wilmott introduces Quantitative Finance"

I am new on this forum and i have just begun my adventure with finances, so please be patient. I was solving exercises from "Paul Wilmot introduces Quantitative Finance" and i came across ...
3
votes
1answer
3k views

Total Returns From Adjusted Close Prices

I'm trying to understand why the total return (return including dividends) that I get from calculating return using adjusted close price, does not equal the total return calculated in another manner. ...
3
votes
1answer
681 views

Why is the dividend risk of an option equal to its delta?

In this document, https://www.eurexgroup.com/blob/2435406/f1b0086a8c6d05954c58a8dc24308c81/data/20160304_Colin-Bennent-Trading-Volatility-.pdf, it states that "This is because the dividend risk of ...
3
votes
1answer
296 views

Discounting dividends and terminal value in valuation

I am new to finance and valuation in particular. I have a query regarding discounting dividends and terminal value for valuation using dividend discount model. I have created an illustration to help ...
3
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0answers
48 views

Why not discount the dividend in the european put lower bound condition?

According to the european put lower bound condition: $ p \geq max(D + K \cdot e^{-r(t_2-t_0)} - S_0, 0)$ where $t_0$ is now and $t_2$ is maturity. Say $t_1$ is the dividend release time where $t_0&...
2
votes
3answers
570 views

Structured product sellers and div swaps

From a Barclays primer on dividend swaps: We note that for shorter periods of time, implied dividends can be more volatile than spot as dividends often trade away from ...
2
votes
2answers
564 views

The Dog That Did Not Bark?

I've been reading Cochrane's 2006 paper "The Dog that did not bark: A Defense of Return Predictability", but i am still struggling to understand what the dog was, and why it wasn't barking? If anyone ...
2
votes
1answer
272 views

Dividend as a function of stock

Let's say I have a stock that pays dividend once a year. I know how much did it pay in 2014, and at which level was stock trading when the dividend decision was made. I'd like to use these data to ...
2
votes
1answer
416 views

How to calculate dividend yield - option pricing

Hey how do you calculate the dividend rate if you want to price your stock options eg apple? Just take the dividends paid last year and divide by today's share price? This page reports 0.85% (https://...
2
votes
1answer
106 views

European put options

Why is it that for European Puts on Non-Dividend-Paying Stocks, the lower-bound for price is $$p=Ke^{-rT}-S_0?$$
2
votes
1answer
105 views

Getting rate from a share's given futures price, with known dividend information

Question was answered by @Ezy - thanks! This seems to be a basic question, but mysteriously unsolvable as far as I can see. It concerns calculating the interest rate from a given stock futures ...
2
votes
1answer
117 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 (...
2
votes
2answers
456 views

Delta one trading: dependence on repo rate?

I have heard a delta-one trader mentioning the dependency of its activity on interest rates, dividend yields and repo rates. While I can understand the exposure he has to interest rates and dividend ...
2
votes
1answer
508 views

Binomial Tree Option Pricing Model. Lets talk dividends and futures

I am writing an option pricing model for production use. Its not for arb or anything so it doesn't need to be 100% as accurate as possible. Just good enough for "what happens to my book if we jump 10 ...
2
votes
1answer
81 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 ...
2
votes
2answers
264 views

Is an options implied dividends DCF model consistent with risk neutral/arbitrage-free valuation?

We're talking about how we price every financial instrument: by discounting the payoff, that is, we take future cash flows and we discount them by a proper rate which takes into account the risk of ...
2
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0answers
41 views

Up to date information on ex-dividend arbitrage

Has anyone got any more up to date papers along the lines of the following? Ex-dividend Arbitrage in Option Markets by Jia Hao, Avner Kalay, Stewart Mayhew, Rev Fin Stud 2010 https://en-coller.tau.ac....
2
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0answers
54 views

Impact of Discrete and linear dividends on Local Volatility model

I am trying to understand the assumptions and weaknesses of a Dupire Local Volatility model. If dividends are assumed linear, is it a problem for model calibration? If yes, why? Why would large values ...
2
votes
0answers
72 views

Are there any APIs to retrieve stock buybacks and dividends to calculate ERP?

I'm in the process of building a Python library to value stocks using a FCF model and one of the first steps is calculating an implied equity premium. I know there a few ways of doing this, but ...
2
votes
0answers
35 views

Dividend and Gain process in paper by Brigo, Buescu, Pallavicini and Liu

In the paper Illustrating a problem in the self-financing condition in two 2010-2011 papers on funding, collateral and discounting (2012) (link) from Brigo, Buescu, Pallavicini and Liu, the above ...
2
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0answers
378 views

How to find the risk-free rate and dividend rate for S&P 500 index options?

I'm currently working on a project using S&P 500 index options(European) data. I haven't done any empirical experiments before, so I'm confused how to find the corresponding risk-free rate and the ...
2
votes
0answers
84 views

Asset pricing and dividend discount model

I want to derive the dividend discount model from the asset pricing formula described in "Efficient Capital Markets: A Review of Theory and Empirical Work" by Eugene Fama 1970. The formula that I am ...
2
votes
0answers
246 views

Extrapolating implied dividend yield

I have liquid option quotes for 1, 2, 3 and 4y expiries. I was able to imply the continuous dividend yield for all of those. How would you extrapolate such implied yield to 5 and 6y expiries?
2
votes
0answers
117 views

Why would a 9% dividend payment halve the stock price? [closed]

I am trying to understand why a stock experienced a very drastic drop in price. The only event linked to the drop seems to be payment of an unusually big dividend; however its effect on the price ...
2
votes
0answers
366 views

Modelling long run relationship between dividend and earnings

I am working on a paper where I have to model the long run relationship between earnings and dividends. I have downloaded the raw data from shillers website. I have converted the series to log(...
1
vote
2answers
875 views

How does income tax affect the Ex-dividend behavior of a stock?

If there are no taxes and no volatility, I would expect the the move in a stock on the Ex-dividend date to be equal to the gross value of the dividend. However, if I am taxed, I find the problem gets ...
1
vote
2answers
3k views

MonteCarlo simulation of stock prices using milstein scheme with dividend yield?

While performing a montecarlo simulation of stock prices using the milstein scheme is it possible to take into account the dividend yield into the simulation itself somehow, if we are given a ...
1
vote
2answers
195 views

How to derive forward price on stock with continuous dividend

Let $F_{t,T}$ be the forward price of a stock $S$ at time $T$ and $t$ be the current time. The stock pays a proportional continuous dividend at a rate of $q$ and the risk-free rate is $r$. How can I ...
1
vote
2answers
328 views

Why can only non-dividend paying assets serve as numeraire?

In Kerry Back, A Course in Derivative Securities, Sect. 1.4 (page 29), the author stated the FTAP in the following form (in boldface): If there are no arbitrage opportunities, then for each (non-...
1
vote
1answer
110 views

Role of next month's dividends in forward pricing

I'm using the equations given on this page to price forwards on an equity. It's a basic equation that discounts dividends. But my question is: What do we do about dividends that occur after the ...
1
vote
1answer
52 views

Understanding Walter's Dividend Policy Model

I'm trying to understand the justification for the mathematical formulation of the Walter model (1956), which provides an equation for the price of a stock based on present value of dividends and ...
1
vote
1answer
189 views

S&P 500 dividend data [closed]

I could not find S&P 500 dividend data on S&P 500 official site. Does anybody know where to find it?
1
vote
1answer
350 views

What is the analogue used by Hull to price European calls with known cash dividends?

From The Book by Hull: And Hull's comment: This rule is analogous to the one developed in Section 14.12 for valuing a European option on a stock paying known cash dividends. (In that case we ...
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2answers
1k views

Calculation of dividend yield from index returns

For a research project, I need to find or calculate dividend yield for all the index of major countries in the world (e.g: s&p500,DAX,CAC40 and so on), and I am struggling a bit with it. I cannot ...
1
vote
1answer
334 views

Is this representation of the put-call parity correct? (Implied dividend estimation)

I am looking at implied dividend yields to be obtained from the put-call parity and have come across the following answer: Implied dividend estimation It states that $$ PV(div) = P - C + (S - K) + K(...
1
vote
1answer
58 views

Dividend Discount Model for a stock and its derivatives

This might be a bit basic but I've found this question and I'm definitely over-thinking it and now I've just completely confused myself. I'm just looking for some clarification. I've been given the ...