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45
votes
11answers
9k views

Innovative ways of visualizing financial data

Finance is drowning in a deluge of data. Humans are not very good at comprehending large amounts of data. One way out may be visualization. Traditional ways of visualizing patterns, complexities and ...
10
votes
2answers
2k views

Why a self-financing replicating portfolio should always exist?

According to my understanding the derivation of the Black-Scholes PDE is based on the assumption that the price of the option should change in time in such a way that it should be possible to ...
10
votes
2answers
690 views

Quantitative Derivatives Trading vs. Time

Most quantitative investment strategies focus on the changing prices of a commodity or equity over time. Derivatives, however, make this more complicated. How can I apply quantitative strategies to ...
10
votes
2answers
358 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 ...
8
votes
3answers
1k views

How to estimate real-world probabilities

In the world of finance, Risk-neutral pricing allow us to estimate the fair value of derivatives using the risk free rate as the expected return of the underlyings. However, the behavior of ...
7
votes
2answers
272 views

Why does the price of a derivative not depend on the derivative with which you hedge volatility risk?

I'm trying to derive the valuation equation under a general stochastic volatility model. What one can read in the literature is the following reasoning: One considers a replicating self-financing ...
6
votes
2answers
486 views

What are the major models for energy derivatives, particularly electricity derivatives?

Aside from Black-Scholes with crazy skews, what major models are used for energy derivatives? I'm thinking particularly of electricity derivatives, but I'm also interested in natural gas and other ...
6
votes
4answers
711 views

What is the connection between default probabilities calculated using the credit rating and the price of a CDS?

I'm working on a tool to price Credit Default Swaps. I've already done the standard pricing tools. I'm working on a pricing tool which uses the credit rating for the default probabilities used in the ...
6
votes
2answers
1k views

Why is the SABR volatility model not good at pricing a constant maturity swap (CMS)?

I have heard that the SABR volatility model was not good at pricing a constant maturity swap (CMS). How is that?
6
votes
1answer
700 views

About Option Adjusted Spread, rate curves and bonds comparison

I have few questions about using OAS as a measure of risk: does OAS allow for comparison between bonds with and without embedded options (e.g. a callable bond against a plain vanilla one against a ...
6
votes
1answer
3k views

What is a self-financing and replicating portfolio?

I try to understand the derivation of the Black-Scholes equation based on the "constructing a replicating portfolio". From mathematical point of view it looks simple. We assume that: Stock prices ...
6
votes
0answers
411 views

Probability distribution of maximum value of binary option?

A binary option with payout \$0/\$100 is trading at \$30 with 12 hours to expiration. Assuming the underlying follows a geometric Brownian motion (hence volatility remains constant), what ...
5
votes
2answers
249 views

How to think about pricing this weather call option

So as opposed to the normal structure using a reference temperature and HDD/CDD, I'm looking at pricing a call option with a structure similar to the following: Daily option on maximum daily ...
5
votes
0answers
417 views

option chain data visualization, sunburst

I think option chains are not represented in the best way. With more and more options products coming out and trading on the various exchanges, I see vendors struggling to keep up with a good way to ...
4
votes
1answer
712 views

On short-rate-models: Black-Karasinski (with constant parameters) compared to Vasicek

When modelling the term structure of interest rates, one widespread possibility is using the Black-Karasinski model, which is given by the following stochastic process ...
4
votes
2answers
191 views

Are there financial instruments that make a bet on traded volume instead of price or its derivatives?

For most financial instruments we can go long or short and make a bet on the price. In the case of options we can bet on derivatives of price and other factors (e.g., interest rates). Is there an ...
4
votes
3answers
194 views

How to hedge a derivative that pays the reciprocal of the stock price?

1) Suppose S is the stock price, how to hedge a derivative that pays $1/S_t$ at time $t$? 2) Suppose there will be a dividend of amount $d$ between $t$ and $T$, how to hedge a derivative that pays ...
4
votes
1answer
1k views

What is the replicating portfolio of swaptions for a constant maturity swap (CMS)?

How do you replicate the payoff of a constant maturity swap rate? That is, if the payoff of a contract pays the 5-year swap rate every year for 10 years, how would you replicate this payoff using ...
4
votes
1answer
444 views

Is there any gamma in basis (i.e., floating for floating) interest rates swaps?

It is well known that vanilla fixed for floating swaps usually have a bit of gamma, but does a floating for floating (basis) swap have any? For the sake of simplicity, let's assume that both legs of ...
4
votes
1answer
196 views

Options: Vertical LEAPS

I am developing an algorithm and it needs to know what to do in certain market conditions It takes on a Vertical Bull Call Debit Spread on LEAPS that are 12+ months out in the future. This means that ...
3
votes
2answers
251 views

Is it true that pricing an IR swap doesn't require any stochastic model but calculation of the PFE of an IR swap would?

Pricing an IR swap doesn't require any stochastic model but calculation of the PFE for an IR swap would require the Hull White Model or any other stochastic short rate or forward rate model. Is ...
3
votes
3answers
345 views

Basic question about Black Scholes derivation

In the derivation of the Black Scholes equation, the value of the portfolio at time $t$ is given by $$P_t = -D_t + \frac{{\partial D_t}}{{\partial S_t}}S_t $$ where $P_t$ is the value of the ...
3
votes
1answer
68 views

meaning of discount term in FRA value

Consider a forward rate agreement on LIBOR (say), which starts 2 months from now, expires after 3 months and has strike $K$, and is based on $3M$ LIBOR -- $FRA_{2\times 5}$. Now the present value of ...
3
votes
1answer
351 views

How did bans on short-selling affect the derivatives markets?

Due to the ongoing turmoil in the financial markets a short-selling ban is being considered (again, one has to say, but this time in Europe): ...
2
votes
4answers
176 views

Are there any derivatives which pay amount $a(p-b)^{2}-c$ where $p$ is the price of underling asset?

Are there any derivatives which pay amount $a(p-b)^{2}-c$ where $p$ is the price of underling asset ? (or in the case of options $max(0,a(p-b)^{2}-c)$) I'm not very strict here but I only want to know ...
2
votes
2answers
120 views

When can a derivative be considered to be path dependant?

The typical example of path dependant derivatives are knock-ins and knock-outs. At the same time vanilla American options can also be considered to be highly path dependant. Does a more or less ...
2
votes
1answer
261 views

How to measure contango?

Is there any unit of measure for the magnitude of the contango (or backwardation) for futures, so you can compare the contango of many symbols.
2
votes
2answers
162 views

Pricing forward contract on a stock

Please tell me where I've gone wrong (if I did in fact make a mistake). I'm pricing a long forward on a stock. The usual setup applies: This has payoff $S(T) - K$ at time $T$. We are at $t$ now. ...
2
votes
1answer
203 views

Greeks and Option Premium

If a linear sum of options is constructed such that the premium payout is zero, then does it mean that resultant greeks of the cumulated options positions will be nearly zero. For simplicity, lets ...
2
votes
1answer
657 views

What exactly is the annualized forward premium?

A forward contract has a premium of $ 0$ because it is an obligation to buy or sell something in the future (hence there is more risk). Call and put options, on the other hand, have premiums of $C$ ...
2
votes
1answer
97 views

How would you price this kind of derivative?

I am somewhat familiar with options but am wondering how to price calls/puts on this one: European exercise "Jumps" in underlying may occur Takes physical delivery upon exercise (is this even ...
2
votes
1answer
171 views

Risk-neutral models for rights issues

A rights issue is the granting by a corporation to its shareholders of a right to purchase $N$ new shares for each $M$ shares they already hold at a (often discounted) price $K$. Thus, it ...
2
votes
1answer
366 views

How does the CME set margin requirements on commodity Futures

I am trying to model margin requirements on various commodity futures, however it doesn't seem that the CME has released the formula they use to set these performance bonds. I am sure that they use ...
2
votes
1answer
344 views

How to automate the margin requirements for Eurex markets?

I'm looking at automating the calculation of margin requirements for a portfolio of Eurex markets. Eurex describe the margin calculations in this document. However, the only tool I can find is a ...
2
votes
0answers
21 views

How do derivatives affect capital structures?

Yesterday, I was at a lecture where the speaker said that the impact of derivatives was often to make senior debt, in effect, subordinated debt (in terms of priority, recovery rates, etc.)? How do ...
2
votes
0answers
92 views

Weighted average implied optionlet/swaptions volatility

Let an implied volatility curve/surface is made up by optionlets or swaptions Black's implied volatility. If you wanted to price, say, a FRN with cap and/or floor, a CMS et cetera you would input the ...
2
votes
0answers
70 views

FRA-Strategy: Make 3-month and 1-year Excess returns comparable

I am trying to analyze an investment strategy that tries to exploit the empirical difference between forward interest rates and realized spot rates. I am using FRAs to capture the difference. I am ...
2
votes
0answers
67 views

What models for backing out Equity IVOL [duplicate]

Possible Duplicate: How should I calculate the implied volatility of an American option in a real-time production environment? I am starting a project and would be grateful for some ...
1
vote
1answer
198 views

What are the differences between CFD and SSF?

What are the intricate differences between SSF and CFD? The similarities are that both take into account interest and settled daily thus looks more or less the same pima facie.
1
vote
3answers
3k views

How to hedge the fixed leg of a swap contract?

I happened to get this question for Fixed Income Swap contract. (let's assume it's it's not cross currency). If the fixed leg is paying 10% interest rate in this contract, but in the market the ...
1
vote
2answers
114 views

what is the actual point of vega on real option data

For a call option, we know that the vega is the derivative of the price wrt to the volatility. However the volatility, in that context, actually refers to the implied volatility of the specific call ...
1
vote
2answers
183 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.
1
vote
1answer
173 views

List of financial derivatives Ito's Lemma does not apply

According to Ito's Lemma there is no restriction on the continuity of the stochastic process. The restrictions are on the continuity of the pay-off so that second derivatives with respect to ...
1
vote
1answer
528 views

How to prove price of Asian option under geometric averaging is cheaper than a European call?

This was an exam question at Cambridge University. Let $S_t = S_0\exp(\sigma W_t + (r-\dfrac{1}{2}\sigma^2)$ and a bank account returns a continuously-compounded rate of interest $r$. Consider the ...
1
vote
1answer
73 views

Can you hedge a derivative with a CASH|spot product or does it have to be another derivative instrument

Consider you have a SWAP (any kind) to hedge this SWAP, you will most likely use another Derivative,but can you use a cash|spot product to hedge this. Like Cash Equity or FX Spot
1
vote
1answer
292 views

equity linked notes (bull/bear equity performance bonds)

I have to price what my lecturer calls "Bull and Bear Equity Performance Bonds". Basically there's dates $t_i \in [0,T]$, where $t_i - t_{i-1}$ is the same for all choice of $i$. On each date the bull ...
1
vote
1answer
474 views

What is a standard credit default swap contract and where can I find spread data? What alternatives exist to judge creditworthiness?

I'm doing some work for a company and one of my tasks is to research credit default swaps on banks and to write a page about them explaining what they are and how they're used to evaluate the banks' ...
1
vote
0answers
25 views

Understanding Price Elasticities in Discrete Choice Models (Derivative)

I'am in the midst of a paper on mutual fund product differentiation by Li and Qiu. Here, the authors model the utility an investor derives from investing in a mutual fund using a Discrete Choice Model ...
1
vote
1answer
129 views

Lattice Boltzmann method for pricing options

I'm looking into whether there is ANY information out there regarding the implementation of the Lattice Boltzmann method for pricing options (or other financial tasks). I am very new to the world of ...
1
vote
0answers
87 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 ...