All Questions

0
votes
0answers
10 views

Portfolio VaR with Copula?

Let the portfolio be given by: $$X=X_1+X_2$$ $(X_1,X_2)$ are dependent through a Copula function $C(u_1,u_2)$, such that the joint distribution is given by: $$F(x_1,x_2)=C(F(x_1),F(x_2))$$ What is ...
0
votes
0answers
6 views

Why vertical skew is same for puts and calls

What is the reason that the vertical volatility skew graph(decreasing IV as the strikes increase) is the same for the puts and calls? The loose explanation is because of put call parity, but I am not ...
0
votes
0answers
13 views

Why doesn't Black-Scholes assume the absence of statistical arbitrage?

Both Black-Scholes and binomial model assume that there's no risk-free arbitrage in the market. But that sounds like a very weak condition. If a trading scheme makes you gain 100 dollars with 99% ...
0
votes
2answers
16 views

what volatility do we calculate using GARCH model

what volatility do we calculate using GARCH model, Historical vol or Implied vol or Future Vol or Actual vol.
0
votes
1answer
36 views

Is the value also log-normally distributed?

Sorry if this is a stupid question. My book assumes many times that $log(1+R)$ is normally distributed, so R is log-normal. But does this also mean that the value process is log-normal? Since ...
1
vote
1answer
20 views

Historical Implied Volatility Calculation

I'm trying to calculate implied volatility for the FTSE 100 for the last few years. I have all the end of day data from LIFFE for the last few years. I have combined the data by weighting the ...
0
votes
2answers
25 views

Shreve book II Question 4.6 Error?

I'm working through Shreve II, and on question 4.6, you are asked to compute $d(S_t^p)$ where $S_t$ = $S_0e^{\sigma W_t + (\alpha - \frac{1}{2}\sigma^2)t}$ I get the answer $pS_t^p[\sigma dW_t + ...
0
votes
0answers
9 views

Is the Volatility of the Fx Inverse process same as Fx

Let St = Fx and St(Inverse) = 1/Fx. Do both of these have same volatility and if so how would you prove it?
0
votes
0answers
3 views

Foreclosure Implications on CMO Cash Flows

I have a simple homework project where I am to create some models to value a CMO. Please make any simplifying assumptions necessary to provide an answer. Prepayment is simple to account for. This ...
0
votes
1answer
18 views

use synthetics for a pairs trading strategy

Let us say I want to pursue a pair trading strategy between stock A(long) and stock B(short). Can I replace this stocks with their synthetic option equivalents and have the same risk reward profile ...
-2
votes
0answers
37 views

Why Statistical arbitrage is no logner useful [on hold]

Are there any white papers, articles that briefly explain why statistical arbitrage is no longer useful? Should I just buy the book by Andrew Pole?
0
votes
1answer
36 views

Is the volatility for these two SDEs the same

$$ \ \ d\left(\frac{1}{S_t}\right) =\frac{1}{S_t}\left(\sigma^2-r\right)dt +\frac{1}{S_t}\sigma dW_t $$ and $$ \ \ dS_t = S_t rdt + \sigma S_t dW_t $$ How can you prove that?
0
votes
1answer
50 views

What math concepts are used in designing volatility models

What topics in statistics and mathematics do I need to understand thoroughly before I can start to dabble with stochastic volatility models and volatility arbitrage?
0
votes
0answers
16 views

Is it possible for two securities to have the same first 8 characters of a cusip, but differ in the check sum?

CUSIP is a 9 character long identifier. The last digit is a check sum checking the first 8 previous characters. This seems to me that it is not possible for two securities to have the same 8 ...
0
votes
2answers
42 views

Why gamma for ATM option decreases as volatility increases

Why is the gamma for an at the money option less when volatility increases. Intuitively ,I thought that increasing volatility means more uncertainty,hence the option price will be more sensitive to ...
0
votes
3answers
62 views

Downloading most recent stock prices

I would like to download (from Google) the most recent prices for a series of stocks. I have created a portfolio at Google and I can click on "Download to Spreadsheet". That works. But I would ...
1
vote
1answer
64 views

What are the dynamics of the reverse of this FX process?

Assuming the dynamics of the exchange rate between two currencies at time $t$ is given by: $$ dX_t=\Delta r X_t dt+ σ X_t dW_t$$ Is the FX Reverse process $\frac{1}{X_t}$ a brownian motion? How can ...
2
votes
1answer
24 views

Overlapping Value-at-Risk Backtest Data an Issue?

My understanding of VaR model back testing is thus: ~~ t: Calculate daily VaR using look back data over n past days t+1: Compare daily return against VaR, record breach if one occurred, repeat ...
-1
votes
0answers
9 views

Modified or Macauley Duration in python

are there any existing python modules that can calculate Modified and/or Macauley Duration of a bond.
0
votes
1answer
23 views

Libor Market Model: numeraire change

I am currently studying the Libor forward market model, and although I get the mechanics behind the main arguments, I still do not have an intuitive idea of what's exactly the objective behind ...
0
votes
1answer
21 views

PCA on term structure of interest rates

Interest rate time series seems to be non-stationary whenever test is performed But covariance or correlation matrix is derived from term structure time series which are non stationary and later PCA ...
1
vote
1answer
44 views

When $C(K_2) = C(K_1)$ for call options with the same expiration date

The exercise is to show $C(K_1) \geq C(K_2)$ where C(K) denotes the value of a call option on a stock price S with strike price K. We assume the expiry is the same for both. I have proved this by ...
1
vote
2answers
32 views

Where to get master list of mutual funds?

I cant seem to find a straight answer anywhere on Google for this. I would like to create a master list of all known mutual funds and their ticker symbol. Is it possible to get this data from ...
-3
votes
0answers
31 views

Need guidence on quant trading [on hold]

I am just learning quant trading and i want to trade based around probabilities. What do i need to learn to achieve this goal? Do I need to learn C, SAS, Excel? Also what is the best data feed to ...
0
votes
1answer
27 views

ZSpread in multiple curve framework

how do I calculate ZSpread for a govt. bond in a multiple curve framework? I have not come across the exact details anywhere so I want to verify if I'm right. Below is my understanding, please correct ...
0
votes
0answers
13 views

Impact of Greeks on PnL for FX Option [on hold]

How to calculate Delta PnL, Gamma PnL, Vega PnL for an FX option?
1
vote
1answer
34 views

How to price an European call on zero-coupon from the yield curve?

It is known that the price of an European call of maturity $T^*$ on zero-coupon of maturity $T$ is given by $$p(0,T)= B(0,T^*)\mathbb E ^{\mathbb Q_{T^*}}\left[ (B(T^*,T)-K)^+\right]$$ where ...
0
votes
1answer
25 views

Total return index for interest rates (EURIBOR 3M)

I would like to calculate a daily total return index for the EURIBOR 3M. • Should I freeze at the beginning of each qurter die rate? (With this methology the developing of the index depends on the ...
0
votes
0answers
18 views

Calculation of Returns and Risk Metrics for L/S Portfolio

I am trying to build a test for a long/short portfolio. I am aiming for market neutral and have put together a long portfolio as well as a short portfolio (see below). However, I am not sure if I am ...
1
vote
2answers
44 views

Why IV shares an inverse relationship with underlying

Why does implied volatility usually fall when underlying rises and rises when underlying falls? Implied volatility is a length of one standard deviation. From this definition, is it possible without ...
0
votes
1answer
46 views

What is delta neutral

Does delta neutral portfolio mean you add up deltas of all positions and the sum should be zero? Is this true? Also, in a FX portfolio consisting of FX calls puts and Fwds, if FWD delta is given for ...
3
votes
2answers
87 views

Relation between IV and SD

In option pricing, volatility naturally appeared through the Black-Scholes (BS) model where it was a coefficient for the linear diffusion term $\sigma S\,\mathrm dW_t$, and as such represented the ...
1
vote
1answer
25 views

finance - using CAPM [on hold]

The risk-free rate is 4%, and the expected return on the market portfolio is 12%. Using the Capital Asset Pricing Model: a. What is the risk premium on the market? b. what is the required return on ...
0
votes
0answers
9 views

finance using beta and std [on hold]

LGM Company has a standard deviation of 42% per year and a beta of 0.10. ACO Company has astandard deviation of 31% a year and a beta of 0.66. Which investment (ACO or LGM) would be safer for a ...
1
vote
1answer
44 views

Pricing rule shall be a martingale measure

In the book "Financial Modelling with jump processes" by Cont and Tankov there is a chapter that explains martingale pricing principles. It is not extremely formal, but gives the idea underlying the ...
1
vote
1answer
45 views

Various ways to choose bonds for a butterfly strategy?

What are the various ways to choose bonds for a butterfly strategy? For eg., I already know the most common one i.e., choosing short and long term for the wings (barbell) and the medium term for the ...
1
vote
1answer
28 views

hull white model calibration using cap prices

hi i'm given cap prices and swap rates and i'm trying to calibrate the hull white to them that i will then use to price a swaption. I know that from implied volatilities you can calibrate your model ...
0
votes
1answer
39 views

is Sum of P&L equal to portfolio value

For a portfolio containing FX options, would the sum of P&L for each option be the portfolio value?
0
votes
0answers
11 views

Web Based Market Profile Code

I am looking for someone who knows of or has access to web based charting code using Market Profile. Does this exist out there? I would prefer the source code so I can make changes to it. Any ...
0
votes
0answers
31 views

volatility grouping

I was working on risk levels of a combined portolfio (includes options,futures as well as stock). While using greeks we can asses some value of a portolio, but when one needs to assess some kind of ...
0
votes
0answers
17 views

Sample long/short portfolio profit and loss template

Does anyone have a suggestion of where I might be able to find a profit and loss template for a long/short equity portfolio? Thank you in advance.
0
votes
0answers
21 views

FX Delta Conventions

I'm currently reading Iain Clark's book Foreign Exchange Option Pricing and I got stuck at one sentence in the beginning of Section 3.3 that I feel is important to understand. He writes: FX ...
0
votes
1answer
14 views

TAQ NYSE OpenBook

Where can I get/buy the TAQ NYSE OpenBook for specific stocks on specific days? I don't need a whole year of all stocks. I just want to enter a day and a stock, so I can download the order book data ...
0
votes
0answers
24 views

Derivation of the formulas for the values of European asset-or-nothing and cash-or-nothing options

The asset-or-nothing European option pays at t = T the value of the stock when at time T that value exceeds or is equal to the exercise price E, and nothing if the value of the stock is below E. So, ...
0
votes
2answers
62 views

float64 to store price data: is precision sufficient?

I am looking to store equity price data in a hdf5 table. The use will be purely as a historical archive, not as day-to-day data source. Options One option would be to store base10 significand and ...
1
vote
0answers
35 views

Optional Sampling Theorem Application

Let x, y > 0. Defint eh first passage time of a Brownian motion $W_t$ as $\tau_a$ = min{t $\ge$ 0: $W_t$ = a}. I need to show that E[$e^{-u\tau_x}$$1_{\tau_x < \tau_{-y}}$] = ...
-3
votes
0answers
32 views

Black litterman model [closed]

Please can you recommend an easy introduction to the Black-Litterman model
0
votes
1answer
42 views

Stochastic exponential, find the process model

We have $U_1 ,U_2 \dots$ independent and identically distributed random variables on a probability space, with $P(U_1=2,55\%)=1/2=P(U_2=-2,5\%)$ We have the the stochastic process $X=(X0, X1, ...
4
votes
1answer
52 views

BlackProcess' constructor $x_{0}$ argument in QuantLib

I am currently using BlackProcess to price options and I have a doubt related to the $x_{0}$ argument of the constructor: I've figured out it should be the forward ...
-4
votes
0answers
21 views

Why can't authors use better variable notation [closed]

It's frustrating when authors, especially with barrier option pricing where you have a lot of variables, don't just use subscripts instead of arbitrary letters. Why not just denote the initial or ...

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