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1answer
28 views

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 ...
5
votes
2answers
65 views

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 ...
1
vote
2answers
93 views

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 ...
2
votes
0answers
63 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 ...
1
vote
1answer
66 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 ...
1
vote
1answer
52 views

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 ...
5
votes
1answer
98 views

Why Must Dividends Be Reinvested to Use Risk-Neutral Pricing?

Assume the price of a stock $S_t$ paying continuous dividend $a$ satisfies $$ dS_t = S_t\left((\mu - a)dt + \sigma dW_t\right). $$ The risk-neutral pricing formula states that if $\mathbb{Q}$ is any ...
1
vote
1answer
54 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!
0
votes
1answer
72 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 ...
1
vote
1answer
65 views

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 ...
0
votes
0answers
27 views

FX rollover swaps rates based on LIBOR rates

I am trying to calculate FX swaps overnight rates based on LIBOR rates Example: Libor rate for TRY crosses is 12.00 Libor rate for USD crosses is .19 How do we get to these number? USDTRY swaps ...
7
votes
3answers
201 views

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 ...
2
votes
2answers
102 views

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 ...
1
vote
1answer
33 views

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 ...
0
votes
1answer
42 views

Diffusion Jump Processes

This last quarter of college for senior project, I will be doing research on the application of diffusion jump processes to pricing derivatives. I was wondering if anyone could recommend any resources ...
4
votes
3answers
105 views

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 ...
1
vote
1answer
71 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). ...
1
vote
1answer
45 views

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: ...
1
vote
1answer
50 views

What is the filtration described?

What is the filtration $(\mathfrak{F}_t)$ encircled below? Is it $(\mathfrak{F}_t) = (\sigma(W_t)) = (\sigma(\tilde{W_t})), t \in [0,T]$? Or is it $(\mathfrak{F}_t) = (\sigma(\hat{W_t})), t \in ...
1
vote
2answers
64 views

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) ...
1
vote
1answer
195 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 ...
6
votes
1answer
64 views

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 $2$, ...
4
votes
1answer
134 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 ...
3
votes
1answer
141 views

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.). ...
1
vote
1answer
49 views

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 ...
2
votes
2answers
388 views

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 ...
0
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0answers
10 views

CFD on warrants or options?

I'm looking for CFD-type contracts based off warrants or ETO prices; does such a thing exist? I'm interested in Asian markets; Hong Kong, Singapore, Japan.
1
vote
3answers
171 views

What is the name of this product?

Consider the payoff =$S_T1_{S_T>K}$ where $S_T$ is the asset price at maturity. What is this type derivative called? and is it a liquid option?
2
votes
1answer
112 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 ...
1
vote
0answers
61 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 ...
2
votes
2answers
164 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 ...
2
votes
0answers
26 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 ...
3
votes
1answer
99 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 ...
0
votes
3answers
83 views

Why is it enough to know the expected present value of cash flow in risk-neutral framework to price derivatives?

Wilmott book states that its enough to know the expected present value of all cash flow in risk-neutral framework to price derivatives. As I know, to obtain arbitrage-free market we need our ...
0
votes
2answers
131 views

Why does Futures contract credit and debit a position daily, if it has “locked” the price?

I thought I had understood futures contract. But it seems the daily settlements betray my understanding. Futures contract provides price & product safety to involved two parties. E.g. Wheat ...
2
votes
2answers
125 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 ...
1
vote
2answers
192 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.
2
votes
0answers
128 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 ...
4
votes
3answers
251 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 ...
1
vote
1answer
219 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
176 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 ...
2
votes
1answer
1k 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
79 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
votes
1answer
535 views

Calculating arbitrage- S&P 500 stocks vs S&P 500 Index future?

How exactly would I go about investigating whether the S&P 500 stocks were currently over-valued compared with the price of the S&P 500 Index futures contract? Is it just a case of taking each ...
2
votes
1answer
184 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 ...
4
votes
1answer
1k 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 ...
8
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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 ...
2
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0answers
72 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 ...
1
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1answer
246 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.
2
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1answer
487 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 ...