Questions tagged [derivatives]

A financial contract whose payoff is linked to the evolution of an underlying security.

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4
votes
2answers
207 views

To what degree does computational complexity affect the pricing of options?

I have been tasked with writing a 25 page paper on computational complexity. The first 10 pages of this should be background an introduction to the field (which I have largely done already) and the ...
4
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1answer
305 views

Pricing the Passport option

Suppose underlying asset $S$ $$dS = \mu Sdt + \sigma Sd W$$ our portfolio $\pi$ consist with $q(t)$ stock $S$ and cash $\pi - qS$...
4
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1answer
181 views

Pricing an “equity protection” derivative: a practical example

This is the derivative security (its underlying index is the S&P 500): time to expiry $=4.8$Y; payoff calculation (0): on the expiry date, give a look at S&P 500 and let its price to be $S_{T}...
4
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2answers
962 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 ...
4
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1answer
471 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 ...
4
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2answers
296 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 ...
4
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1answer
83 views

Option pricing: Relationship between Theta and early exercise

I am confused about the following: For a European put option, the parameter $\Theta$ is given by $$ \Theta= \frac{d V}{dt} = -\frac{SN'(d_1) \sigma}{2 \sqrt{T-t}} + rK e^{-r(T-t)}N(-d_2).$$ My ...
4
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1answer
126 views

Books/papers on Insurance Derivatives?

I am looking to learn more about insurance-linked securities. I work for an insurance company and am interested in catastrophe risks and cat bonds. I have a good statistical background and master-...
4
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1answer
423 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): http://www.nytimes.com/2011/08/12/business/global/europe-...
4
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1answer
111 views

Discounted asset price is martingale in BS model

I want to verify that the discounted stock price process $\mathrm{e}^{-r(T-t)}V(S_t,t)$ is a martingale in the BS-model. Using Ito's formula and the BS-PDE I get that $$ \mathrm{d}\mathrm{e}^{-r(T-t)}...
4
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1answer
524 views

Build a Synthetic Loan for Personal Finance

Suppose I am short of cash and want a loan for some mundane objective like travelling or buying a car. The interest rate for personal loan with my bank is too high. Is there any way in finance that ...
4
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1answer
204 views

How to price up-out-call by solving heat equation like down-out-call

We know that by changing the variables we can obtain the Black-Scholes formula of vanilla call through solving the ...
4
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1answer
163 views

Calculating portfolio weights of derivatives

A rather simple question. You have a portfolio of USD100 in cash. You now take USD10 and buy a derivative that gives you exposure of USD200 to something. What is the weighting of cash in the ...
4
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1answer
815 views

Obtaining logical lists of Bloomberg security codes in Excel

I am using Bloomberg's BDP and BDH functions in excel to retrieve data for a set of options. The problem is that (as underlying prices move and expiration dates come and go) option strikes are ...
4
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0answers
80 views

Structured Energy Option Pricing

Let's say I have an option with the following terms. This is for an energy product (ie natural gas) The contract will last for 6 months The payoff is the difference between the first of month index ...
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0answers
166 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
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3answers
13k views

What is a Constant Maturity Swap (CMS) rate?

I have been searching in books and on the internet for a basic definition and explanation of CMS rates, but I cannot find anything clear and simple. Can you explain (maybe with an example) what a CMS ...
3
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1answer
151 views

Difference between FRA and a zero coupon swap

Wanted to know the difference between an FRA and zero coupon swap with both legs having payment at maturity. If the zero coupon swap is forward starting, will it be equivalent to an FRA?
3
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2answers
1k views

Delta Hedging with fixed Implied Volatility to get rid of vega?

I'm wondering if i should use a floating IV or a fixed IV to delta hedge my options every day. I've read this post but would like different information : Delta Hedging with fixed Implied Volatility ...
3
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1answer
564 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 ?
3
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1answer
87 views

Determining cost of carry for a future in Euronext.com [closed]

A snapshot from the trading book of the CAC 40 futures, on November 5 2018, is: Using the book prices, how can I compute the cost of carry implicit in the November and December contracts? Please ...
3
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1answer
221 views

Replicating a square derivative with calls and puts

I have a derivative that pays off $S_T^2$ at time $T > 0$ with $S_T$ denoting the price of a non dividend-paying stock at $T$. I came across a question about how one can statically replicate this ...
3
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1answer
4k views

derive vega for black schole call from this formula?

Is it possible to get the right formula for vega of a call option under the black scholes model from this formula? $$\frac{\partial{C}}{\partial{\sigma}}=\frac{S_0}{\sqrt{2\pi}}{e^\frac{-d_+^2}{2}}(\...
3
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1answer
2k views

What is the Difference Between a Credit Default Swap and a Bet

Reading the wikipedia page for derivatives on 00:02 E.S.T March 21 2016, a credit default swap (CDS) is summarized as being "A credit default swap (CDS) is a financial swap agreement that the seller ...
3
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2answers
333 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. $S(...
3
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1answer
2k views

What exactly is a deposit futures contract?

I have been working with Deposit Futures and the Brazilian One-Day Interbank Deposit Future but I can't get my head around them. What exactly is delivered and when? What is the contract a right to?
3
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2answers
200 views

The PDE of caplet and floors

I know following PDE is the continuous payment case, but a caplet pays as rate: $\max(r - r^*,0),$ use the hedge portfolio $\Pi = V- \Delta Z$ $$d\Pi = dV- \...
3
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1answer
59 views

Fees on derivatives

Since it's obviously not at their fair value that derivatives are priced, how do investment banks compute the fees that they add on top of the risk neutral price ?
3
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1answer
376 views

Option Pricing under Jump Diffusion Models

I was wondering what the overall approach/intuition behind how to price options under Jump Diffusion Models. My understanding is under Diffusion models such as Geometric Brownian Motion (Black Sholes),...
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2answers
783 views

Market data for options

Looking for recommendations on places to get market data for options. I'm looking at NYSE and NASDAQ only. My current solution is my broker, Tradeking. I can request realtime data for 700 option ...
3
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2answers
66 views

Cash vs Deposit Rates

When constructing a yield curve for derivatives purposes, what is the difference between cash and deposits rates?
3
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1answer
574 views

Quantlib derivative valuation from zero curve

I have newly started with Quantlib-Python for valuing derivatives. In all the examples stated in this bolg or in other places, market quote is inserted and bootstrapping is done via individual rate ...
3
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1answer
868 views

Local Volatility implementation

The Dupire equation is well-known and mentioned in thousands of articles. Although I could not find a lot of documentation about a consistent and proper way of implementing the formula (The difficulty ...
3
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2answers
612 views

Contingent claim and Derivative

What's the difference between a derivative and a contingent claim? What is an example of a derivative which isn't a contingent claim? Since options or swaps are examples of derivatives that are ...
3
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1answer
3k 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 $S_t = S_0 \exp \left(\sigma W_t + (r-\dfrac{1}{2}\sigma^2) \right)$ and a bank account returns a continuously-compounded rate of interest $r$....
3
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1answer
202 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 ...
3
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2answers
383 views

How is volatility different from variance?

I always thought volatility was just variance ^ (1/2). Now I'm reading this book and it's saying that the two are different concepts. Excerpts include: Partly due to its use in Black-Scholes, ...
3
votes
1answer
284 views

FX options pricing exchange rate regimes

how can we estimate the impact of a exchange rate regime switch ( from fixed to float) on the options prices i'm talking about the moroccan case (EUR/MAD USD/MAD) options OTC , is there any stochastic ...
3
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1answer
219 views

Using Market Gamma to Predict FX Trading Environments

I want to test a hypothesis about using gamma to predict FX movements. Suppose that market makers will seek to be delta neutral given their portfolio of FX options. At any given time, market makers ...
3
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1answer
2k views

Bloomberg scripting language (BLAN)

Did anyone work with Bloomberg scripting language (BLAN is the name I guess). If so is it really flexible and is it competitive with other valuation services (say Super Derivatives). Does it enable ...
3
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2answers
173 views

remove seasonality in future contracts

very new to commodities. I have raw agriculture future data, and I need to remove the seasonality (de-seasonalize) from the data, what is the general approach ? Thanks for the help!
3
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1answer
1k 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 ...
3
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0answers
130 views

Estimating Market Price of Risk

I need help with estimating market price of risk. Assume money market account and two risky assets which exposed to same two sources of risks follow process: $dM(t)=rM(t)dt$ $dS_1(t)=S_1(t)(\mu_1dt+\...
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0answers
66 views

Pricing of future options

I have the following question on futures options: There is a Black’s model, which is a variant of the Black-Scholes formula that is used to price stock options. The Black’s model prices future ...
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0answers
68 views

Understanding the notion of future options

I am currently studying different types of option-related derivatives and I am quite confused about the notion of “futures options”. My textbook says that A futures option is the right, but not ...
3
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0answers
51 views

What models are used for pricing cliquet options (esp. for Asian Equity underliers)? How good is Bergomi model?

What are the most common models, actually used by trading desks for Asian underliers, for pricing cliquet options? I would like to know both - (1) the production model used for daily P&L, and ...
3
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0answers
65 views

Two barrier options puzzle

I come across an interesting question about barrier option as shown below. Two barrier options are given with the same parameters including the barrier level. The first one is knocked out when it ...
3
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0answers
56 views

How to Compute the payoff of Var Swaps, which I have replicated

I used Derman(1999) method, to calculate the fixed Kvar for Variance Swaps using actual option price data. The first Pic Shows the outcome. (ignore the 0s). Now the profit and loss of short var swaps ...
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0answers
294 views

OTC derivatives trade life cycle

Can someone please walk through a typical OTC derivative trade life cycle? Or could you please provide a good source on that topic? ( I mean things like negotiation - trade execution - trade capture, ...
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6answers
373 views

What is the Benefit of holding a short option?

i am new to corporate finance and ask myself why a investor is interested in being short on a Option? The only he can win is a premium but he can loose much more. I understand with being a short I can ...