Questions tagged [derivatives]

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

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1answer
62 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 ?
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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?
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Relations between Call and Put

I am trying to solve a question in finance but I am pretty much stuck and would need your help :) Suppose you know the following information about a market: Future is at 66 70 strike straddle is ...
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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 ...
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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 ...
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1answer
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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 ...
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7answers
524 views

How is this financial product called?

I have only basic limited knowledge about financial derivatives and I did not find exactly what I was searching for. I found open end turbo call, knock outs, but I am searching for this: Underlying ...
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0answers
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Literature to Learn about Different Instruments

What is a good source of literature to learn about the specifics of various instruments that are traded? For example, suppose I wanted to know more about MBS's, i.e. how exactly they are securitized, ...
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How to price jumps in payoffs

I specifically want to know how to model a jump condition while valuing a derivative.Example :- the jumps which are observed in digital product payoffs, or barriers and knockouts. Although a ...
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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 ...
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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 ...
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Analysis of exercising a call option early

Most options traders sell their call options early instead of exercising them, as you would make a bigger profit this way due to being able to salvage some remaining extrinsic value. For example: ...
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1answer
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Information on Weather Derivatives

I am looking for relevant information on the organization of the Weather Derivatives market. How is it organized? How information is shared? Where can we find historical database? I am aware of the ...
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Is an FX forward with delayed settlement still a derivative?

As an example: Trade date: 1/1/16 Maturity date: 2/29/16 Settlement (exchange of currencies) 3/31/16 Is the instrument between 2/29 and 3/31 still deemed a forward? The forward rate is determined so ...
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Question in “Computational Methods in Finance” by Ali Hirsa - Chapter 2: Derivatives Pricing via Transform Techniques"

Reference: "Computational Methods in Finance" by Ali Hirsa - Chapter 2: Derivatives Pricing via Transform Techniques" - Page 37* Background: The author prices call option using the Fourier Transform. ...
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Derivatives (Forex Forward) [closed]

Good day, Please, consult me about Forex Forward Swap (Ex. pair USD/RUB). I am trying to calculate and cant understand, how it works. For example: I have: USD/RUB Fwd points 3M - 19650/19950 IR - 10....
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How to estimate CVA by valuing a CDS of the counterparty?

I'm trying to estimate CVA of one of my derivatives by valuing a credit default swap (CDS) of my counterparty. However, I don't know how to set up the CDS deal (notional amount, maturity, etc.). ...
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1answer
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decompose correlation swap pnl

For a Variance swap we can split the pnl into a realized part and a "forward going" part. To be more precise: Assume we enter the trade at t0, and the variance swap has tenor T and a strike $Kvar$. ...
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Does presence of arbitrage necessarily make all derivatives have zero value?

Spin-off from: Pricing when arbitrage is possible through Negative Probabilities or something else I mean in a theoretical sense: If we have a particular market model with some fancy assumptions such ...
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3answers
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How are referenced asset gains routed in a credit derivative?

Lets assume for the sake of the example that we are talking about a Total Return Swap. The flow diagram is something like this. Lets assume the Payer in this instance is a Hedge Fund, and the ...
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Present and future role of pricing quants

While looking up on quants, I came across many sources that cited 'pricing quants' as one of the biggest chunks among all quant positions. But then I also came across many software companies providing ...
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Fair Price CDS Spread for a Bank

I have been using CreditGrades to calculate fair one year CDS spreads for firms. However, the authors of the model explicitly say that the model does not hold for banks or financial firms. If I need ...
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How to use the stock as a numeraire to price a derivative with payoff of the form $(S_T f(S_T))^+$?

I have $\frac{dS_t}{S_t} = rdt + \sigma dW_t$ as usual under the money-market numéraire and I need to price options with payoffs $$(S_T f(S_T))^+$$ How do I express the stock dynamics using the ...
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Conversion of SPY prices to ES prices

I have a system that I use intraday that works great on SPY. Due to the extra leverage available plus other benefits I am thinking about trading the system using ES. Is there a conversion factor ...
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0answers
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Volatility Skew for Put and Call options [closed]

Given that the implied volatility follows volatility skew, which one has higher implied volatility? At-the-money put 40 (spot = strike = 40) or at-the-money call 160 (spot = strike = 160)? I am not ...
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1answer
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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 ...
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Is the code of my binary call option pricer (using explicit finite difference, backward scheme) correct? [closed]

I am using explicit finite difference (backward scheme) to price a binary call option. Here is my MATLAB code: ...
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put call parity for futures options derivation in Hull

In Hull, the following derivation of PCP for futures options: What confuses me is that it is stated that the payoff of the long futures is $F_t-F_0$. The footnote states: the analysis assumes that a ...
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the cash flows behind closing out futures positions

I always get confused about the cashflows occurring when a futures position is closed out. For example, say it is January and I enter into a long December Futures position with a futures price F(jan). ...
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Why does increased stock borrow costs decrease a stock's forward price?

The author in this article -- http://streetwiseprofessor.com/?p=7294 -- states that an increase in stock borrowing costs decreases a stock's forward price: In the absence of manipulation, the ...
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1answer
278 views

Gamma derivation from the expectation

I am trying to derive Gamma from the expectation principle (differentiating under expectation sign). I understand these steps $\frac{d^2 C}{d x^2} = e^{-r\tau} \mathbb{E} [ \frac{\partial}{\partial x}...
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1answer
251 views

Jump-Diffusion Processes

This last quarter of college for senior project, I will be doing research on the application of jump-diffusion processes to pricing derivatives. I was wondering if anyone could recommend any resources ...
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why many option contract price less than minimum boundary price?

I downloaded data from NSE(National Stock Exchange) website regarding closing price of European Call Option written on Index. From standard textbook, I read that option contract must satisfy $C(t) \...
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How to price an European Call/Put Option of a jump difussion Process?

Lets have the next jump difussion Stochastic Process: $$S_t = S_0 e^{\sigma W_t + (v-\frac{\sigma ^2}{2})t}\prod_{i=1}^{N_t}(1+J_i)$$ where $W_t$ is the Brownian Motion, hence $G_t \equiv e^{\sigma ...
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Variable Drift Ornstein–Uhlenbeck Process

The Ornstein–Uhlenbeck process is defined as the stochastic process that solves the following SDE: $dx_t = \theta (\mu-x_t)\,dt + \sigma\, dW_t$ where $\theta>0$, $\mu$ and $\sigma>0$ are ...
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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' ...
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New ways of communicating risk

One of the scapegoats of the financial crisis was value at risk. Still communicating risks effectively to clients is a big challenge and hugely important (also to keep your job as a quant!) In this ...
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1answer
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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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1answer
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Why we consider second derivative w.rt price but only first derivative w.r.t time and volatility

What is the reason (better if it is intuitive, and not too math heavy), that when we talk of Greeks, we consider second derivative with respect to price (gamma), but only first derivative with respect ...
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1answer
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Delta derivation from the expectation

I'm trying to understand the following transformation leading to Delta $\frac{dC}{dx} = e^{-r\tau} \mathbb{E}[ \frac{\partial}{\partial x}\text{max}(xY-K,0)] = e^{-r\tau} \mathbb{E}[Y \textbf{1}(xY&...
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1answer
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Stock price is a martingale if the riskless interest rate is zero?

I came across a question as such: Suppose company IBC is trading at \$75 per share. What does it cost to construct a derivative security that pays exactly one dollar when IBC hits $100 for the ...
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Braess's paradox in quantitative finance: When optionality leads to lower value…?

One of the standard tenets of quantitative finance is that options should have an intrinsic value because optionality as such (in the sense of having more choices) should bring about value. This ...
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Numerical delta of Bond Options

I'm trying to calculate the delta for bond Call options. I'm using the vasicek model which gives the following solution for a Zero-coupon bond call option: $Z = N P(t,S) \Phi(d_1) - K P(t,T) \Phi(d_2)...
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Price of an asian option with squared of average payoff

Is there a closed form solution of the following price formula? Assuming $dS_t=rSdt+\sigma S_t dW_t$ under the Q dynamics $e^{-r(T-t)}\mathbb{E}_t^\mathcal{Q}[(\frac{(\int_0^T S_u du)}{T})^2]$ I ...
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1answer
735 views

Lease Accounting / FX Embedded Derivatives: How to Value Floor / Cap Optionality Features

Suppose you have a lease agreement where the functional/domestic currency is RUB and the currency on which the lease is written USD. Let $S$ be the USD/RUB exchange rate (# of rubles per 1 dollar). ...
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1answer
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Desperate for help with simple derivative

Can someone help explain how differentiating the following with respect to $x$: $$ \frac{1}{2} \alpha \mathbf{x}^T \Sigma \mathbf{x} + (\mathbf{\mu} - R\mathbf{1})\mathbf{x} $$ Yields the following: ...
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Calibration of nested pricing models consistently on two different classes of derivatives

Hi everyone, I'm programming in MATLAB and I have the following optimization problem in calibrating several nested specifications of pricing models. Summary: I have two pricing models ($1$ and $2$, $...
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1answer
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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 ...
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Curve Euribor - Euribor 3M

I'm setting up some Euribor 6M and Euribor 3M curves. So far i have all the data and quotes i need, but i'm having trouble defining the firsts points of the curve. I'm currently using 6M Euribor and ...
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1answer
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Optimal Upper and Lower Bounds

For the following exercise: Give optimal upper and lower bounds on the price today for a product that pays a function of the spot price, $S$, of a non-dividend paying stock one year from now, there ...

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