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21 votes
4 answers
9k views

How to solve for the implied stock lending rate given equity options prices?

When market makers price options on hard-to-borrow equities, they include the cost to borrow the underlying equity that their broker is going to charge them to sell the security short to hedge. I'm ...
unclepaul84's user avatar
17 votes
3 answers
622 views

How do you characterize dividends for equity options?

While many systems like to treat dividends as a continuous yield when pricing equity options, it works quite poorly for short-dated options. In the short run, deterministic dividends are clearly the ...
Brian B's user avatar
  • 15k
6 votes
1 answer
2k views

Science behind options pricing into Earnings event

I am wondering about studies regarding the uncanny options pricing into public company's earnings reports. The phenomenon being that the price of a straddle before earnings costs near exactly the ...
CQM's user avatar
  • 1,872
6 votes
2 answers
938 views

In a covered call strategy, should I hold the call or sell/roll if the delta becomes too small?

I am tweaking a covered call algorithm. The short leg consists of out of the money call options. The goal is to collect the tim premium, but an equally favorable circumstance is when the call ...
CQM's user avatar
  • 1,872
5 votes
2 answers
7k views

Best topics to begin Quantitative Finance Research/Programming

I have a background in mathematics (Functional Analysis and Probability Theory) and am looking to acquaint myself with research in quantitative finance, particularly with a programming component. ...
MinaThuma's user avatar
  • 469
5 votes
2 answers
4k views

call vs put open interest

I have been observing the data for US stock options. In general, it seem like there are more open interest for call rather than for put, is there a reason people like to write more call? at the ...
user201706's user avatar
4 votes
2 answers
2k views

Poker and Options Trading

Certain trading firms (i.e. Susquehanna International Group) believe playing poker can help a trader better perform in the market. What is the rationale behind this? How exactly does playing a card ...
user28272's user avatar
4 votes
3 answers
2k 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 ...
Kevin's user avatar
  • 41
4 votes
1 answer
877 views

Put pricing embedded in autocall

When pricing an autocall, there are 3 parts: Strip of coupon, Zero coupon bond, Put down and in. Probabilities of a call is given from the trigger level on call dates. However, let's say my ...
Cedric_W's user avatar
  • 327
4 votes
2 answers
3k views

Pricing Corridor Variance Spreads

Recently in the equity derivatives market there have been some trades on what are known as "Corridor Variance Spreads." The large equity derivative dealers and investment banks have been promoting it ...
voltrader098's user avatar
3 votes
1 answer
1k views

Why buy/sell a forward starting option?

More precisely, in equity markets, why would one prefer to buy a forward starting option over a vanilla option ? What about the selling side ?
BS.'s user avatar
  • 165
3 votes
1 answer
1k views

Option on index vs option on index future

Cash-settled options on the S&P 500 index existed before options on futures on that index. Where would the demand for options on futures have come from prompting the exchange to begin listing them,...
ScarletPumpernickel's user avatar
3 votes
0 answers
216 views

Option-like behaviour of momentum strategy

this may come as rather vague question, since I do not have something very exact issue on my mind. Nevertheless, I think this is an interesting question and must have been thought by some other people ...
blizzard16's user avatar
3 votes
0 answers
134 views

American CRR implied vols

Given I have all other parameters lined up with the market (borrow rate, dividends...), if I imply volatility using CRR tree from american call and put with the same strike and expiry, will I always ...
Kfrr's user avatar
  • 31
2 votes
3 answers
10k views

Why multiply stock returns with $\sqrt{252}$?

When converting daily volatilities to annual volatilities one need to multiply with $\sqrt{252}$. But I found this piece of code this piece of code who calculate log-returns in the following way: In ...
siktir's user avatar
  • 79
2 votes
1 answer
243 views

Confusion with the equity option skew

In general out of the money (OTM) equity options have higher implied volatility (IV) than at the money (ATM) options. So assuming we have two put options (5% OTM and 10% OTM). Skew reveals that 10% ...
TRex's user avatar
  • 179
2 votes
1 answer
93 views

Why do Futures Contracts use variation in the US, but options don’t?

Sorry if this is obvious, but I was reading up on Futures and the concept of variation margin intrigued me. Options settle like Stocks and have unrealized gain/loss without affect on cash flow during ...
Ac905's user avatar
  • 21
2 votes
3 answers
96 views

Option with company earnings as underlying

I need to calculate the fair value of an option, with the underlying being the earnings of a listed company. I believe the best way to achieve this is to simulate the earnings of the company and I ...
Kritz's user avatar
  • 199
2 votes
1 answer
185 views

PPPN: premium with real market data

A few days ago, I posted a question about PPPN's (partially principal protected notes), which can be found here:PPPN: participation rate, stocks and premium. A PPPN in short is a structured product ...
Riley's user avatar
  • 143
2 votes
1 answer
254 views

OTC Equity Options' Dynamics

This only applies to options that do not have marketable equivalents since margin can be marked to them. I've never been able to find this on my goog. How is margin typically calculated for OTC ...
user avatar
2 votes
1 answer
124 views

Single period risk-neutral probability derivation

Let $S_u$ be the price of stock in the up-state one period from now. Let $S_d$ be the price of the stock in the down state. Let $C_u$ be the payoff of a call option at time $1$ in the up-state and ...
James's user avatar
  • 29
2 votes
1 answer
189 views

Simulating assets of different currencies

I have a situation as follows: One year call option on a Euro stock with a Euro denominated strike. Knock in feature as follows - The option can only pay out if the growth in the Euro stock over ...
James's user avatar
  • 21
2 votes
1 answer
106 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 ...
alexbougias's user avatar
  • 1,426
2 votes
1 answer
203 views

Equity repo close to money market rates?

I've noticed that the repo rate (here I mean the effective financing rate of the forward position in stock) implied from synthetic forwards is almost the same as money market benchmark (XXXibor 3M) ...
avvv's user avatar
  • 31
2 votes
1 answer
360 views

Index implied repo gerater than the stock repo

I've observed that the repo rate implied from options on Euro Stoxx 50 is significantly higher than the repo rate implied from options on individual stocks that are constituents of the index. This is ...
will12's user avatar
  • 21
2 votes
1 answer
151 views

Using return on equity instead of risk free rate when pricing an equity call option

I am currently a second year university student studying business, so excuse my lack of knowledge regarding the subject. I am currently studying the binomial options pricing model, which involves ...
Gleb Pilipenko's user avatar
2 votes
0 answers
297 views

spinoff entity value / adjusted close of a spinoff

When company $A$ spins off company $B$ (i.e. $A = A'+B$), how do we know exactly the adjustment factor of $A'$ and $B$ before trading Note I am not asking to value the new companies. That's a whole ...
CuriousMind's user avatar
2 votes
0 answers
51 views

Where could I get European non-dividend option data

I am pretty new to option pricing. I got a task asking me to price a stock option, which should be an European non-dividend option, and compare my price to its quote. I used to use TSLA data ...
Y. Zhou's user avatar
  • 21
2 votes
0 answers
382 views

VIX/SPX Realized Beta Calculation

In https://globalmarkets.bnpparibas.com/r/Volatility_Express_20171128.pdf?t=BG3REXwMP3NZJRN7wY5Vt&stream=true, it states that 3M VIX/SPX realized Beta calculation: Use a blend of 1st, 2nd and 3 ...
Trajan's user avatar
  • 2,662
2 votes
0 answers
84 views

Capital increase: which stock price to use as input to Black-Scholes formula?

For an exercise we have to calculate the theoretical value of a scrip / preferential right on its issue day (23 April) in the context of a capital increase. The scrips are issued on 23 April. The ...
Hirboy's user avatar
  • 21
2 votes
1 answer
1k views

VAR of portfolio containing options, equities and forwards

If we want to calculate VAR of a portfolio using variance covariance matrix (delta normal method), containing equities, forwards and options, how do we treat each asset class for making the variance ...
user avatar
1 vote
1 answer
337 views

Why doesn't Variance-Gamma process flatten volatility skew for short term options?

The Variance-Gamma (VG) process, from my inexpert point-of-view, seems to nearly perfectly model equity distributions. For longer term options, there is little to no volatility, skewness, or kurtosis ...
user avatar
1 vote
2 answers
4k views

Difference between Closing Price, Last traded price and Settlement Price for option contracts?

What is the difference between Closing price, Last traded price and settlement price ? I got the difference between Closing Price and Settlement price from previous post : The difference between ...
Neeraj's user avatar
  • 2,248
1 vote
1 answer
133 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 ...
trade_the_basis's user avatar
1 vote
1 answer
520 views

Market Making in practice

I read some of the papers in the market making literature such as: Avellaneda - Stoikov market making model but was wondering if these types of models are actually use in pratice? It seems that when ...
confucius_is_confused's user avatar
1 vote
1 answer
164 views

If there was a way to back out implied volatility (IV) from a stock, would it be the same as the IV backed out from an option on that same stock?

I know that it is not possible to back out an IV for a stock, because the concept of IV is based on a model with underlying assumptions applied to pricing an option. I was thinking of why IV is ...
KaiSqDist's user avatar
  • 2,231
1 vote
1 answer
170 views

Why does an autocall on a linear payoff have vega?

Consider a (stochastic) linear index, say $I(t)$, in that it grows at the risk free rate (with some volatility of course). There exists a maturity date $T$ on which I receive $I(T)$; however there is ...
Arshdeep's user avatar
  • 2,561
1 vote
3 answers
102 views

What is the benefit of buying stock options vs. purchasing stock? [closed]

I am aware that this is a simple question; but, given the scenario below, I have not found a satisfying answer while searching this site or Google. My understanding Stock options have been described ...
Needa Virani's user avatar
1 vote
1 answer
126 views

Adjusting your delta hedge when the stock crashes and were originally delta hedged

You are long a call option on a stock and you are delta hedged. The stock crashes in price. How do you adjust your delta, do you buy or sell stock? Could answers please be quantitative (i am getting ...
Trajan's user avatar
  • 2,662
1 vote
1 answer
468 views

Put-on-call option confusion

So the question asks: Given a 3-steps Binomial Tree model with $S(0) = 50$, $U = 20%,D = 􀀀20%$, and $R = 5%$. A European call option has the strike price $X = 40$ and maturity time $T = 3$. Also, a ...
Betty's user avatar
  • 171
1 vote
1 answer
253 views

Where do Over-allotment (Greenshoe) option shares come from?

I'm just wondering, if following an IPO the share price goes up and the underwriter calls the option, where do those extra 15% shares come from? Does the company have to issue more stock to cover the ...
Sebastian's user avatar
  • 113
1 vote
1 answer
2k views

Differences between Snowball, KIKO and TRF derivatives?

Can you explain what are some similarities and differences between snowball, KIKO (knock in knock out) and TRF (target redemption forward) derivatives?
user avatar
1 vote
1 answer
380 views

What is the other type of impact of dividends on the stock price in this formula?

Excerpted from Marek Musiela and Marek Rutkowski's Martingale Methods in Financial Modelling, Second Edition. I think I understand formula 3.71: paying cash dividend $\kappa_j$ at time $T_j$ will ...
Vim's user avatar
  • 913
1 vote
1 answer
586 views

Selling an American call option early

I understand it is never optimal to exercise an American call option early. [1] [2] However, here are my two contradictory thoughts about selling an American call option early. Assumptions I can ...
cona's user avatar
  • 113
1 vote
3 answers
267 views

Are power contracts traded on any stock market?

Are power contracts traded on any stock markets ? What about OTC markets ? I ask about the derivatives where payoff is some exponential function of difference between strike and spot price.
Qbik's user avatar
  • 1,018
1 vote
0 answers
83 views

Autocall Selling Process [closed]

I'm new in structured products and I need some help for understanding some stuff on autocall. When a client gives his money to the bank for investing in an Autocall, this money goes in a ZCB and in ...
Simon's user avatar
  • 11
1 vote
0 answers
4k views

What does it mean to be long the skew?

Consider an equity option such as SPY and I'm long the skew, do I make money if puts raise in price and calls decrease or the opposite?
Alex's user avatar
  • 81
1 vote
0 answers
100 views

Attributing hedging p&l to several options

Given a delta-neutral portfolio of one underlying stock and several options, I'm trying to attribute stock trading p&l to the options (assuming the underlying is traded only for hedging purposes)....
bolt997's user avatar
  • 111
1 vote
2 answers
201 views

Practical approach to get average option IV

Is there a practical method to calculate some sort of average IV for each level of moneyness of equity options? I'm thinking of an algorithm to find mispriced options and do to so, we need to figure ...
Mehdi Zare's user avatar
1 vote
0 answers
153 views

Credit spread model

Let $c(t,T):=-\frac{1}{T-t}[\mathrm{ln}(P_1(t,T))-\mathrm{ln}(P_0(t,T))]$, with: $c$ measure of how a company is prone to fail; $P_0(t,T):=e^{-r(T-t)}$ price of no-defaultable bond. $P_1(t,T):=\...
Marco Pittella's user avatar