0
votes
2answers
81 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
49 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
58 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
44 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
24 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 ...
1
vote
1answer
51 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 ...
0
votes
2answers
90 views

Is the volatility for these two SDEs the same

$$ (1) \ \ d\left(\frac{1}{S_t}\right) =\frac{1}{S_t}\left(\sigma^2-r\right)dt +\frac{1}{S_t}\sigma dW_t $$ and $$ (2) \ \ dS_t = S_t rdt + \sigma S_t dW_t $$ How can you prove that?
0
votes
1answer
76 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
21 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
81 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
86 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
102 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
53 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 ...
-2
votes
1answer
30 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
39 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
37 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
51 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
45 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 ...
0
votes
1answer
31 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 ...
1
vote
1answer
41 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
37 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
1answer
37 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
48 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 ...
1
vote
1answer
60 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
101 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
26 views

finance - using CAPM [closed]

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 ...
1
vote
1answer
50 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
66 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
52 views

How to calibrate the Hull-White model using cap prices?

I'm given cap prices and swap rates, and i'm trying to calibrate the Hull-White model to them. I then want to use the model in order to price a swaption. I know that the model can be calibrated from ...
0
votes
1answer
62 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
17 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
33 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
23 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
44 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 ...
1
vote
2answers
24 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
33 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
73 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
38 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}}$] = ...
4
votes
1answer
58 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 ...
0
votes
0answers
23 views

What is the intuition behind the relationship between herding and trade (or investment) size?

I am studying herding behavior among investors, in particular I found a u-shaped relationship between herding and trade (or investment) size. As such, traders with the smallest or the largest trades ...
0
votes
1answer
32 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
1answer
95 views

Help with integrating stochastic calculus expression from yield curve model

I am very rusty on stochastic calculus, and I am having trouble integrating the following simple term from a yield curve model: $$z(t)=\int_0^t\exp(-k(t-s))dW(s)$$ Any suggestions appreciated.
-2
votes
1answer
28 views

Question about “short” in this sentence

I was reading an article by David Stockman from (http://davidstockmanscontracorner.com/take-cover-now-they-dont-ring-a-bell-at-the-top/). He uses the word "short" in a way I'm unfamiliar with. If you ...
0
votes
0answers
19 views

How to calculate intraday implied vol on the last day of trading an OTM option

i've been trading globex options on US Treasury futures, but my option calculator only takes the date as the time input..so on the last trading day, the model assumes all values are errors because the ...
2
votes
2answers
41 views

CVaR reformulation correct?

Conditional Value at Risk (CVaR) is given as: $$CVaR_\alpha(X)=\frac{1}{\alpha}\int_{0}^{\alpha}VaR_\beta(X)d\beta=-E(X|X\leq-VaR_\alpha(X))=-\frac{1}{\alpha}\int_{-\infty}^{-VaR_\alpha(X)}x \cdot ...
2
votes
2answers
90 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
votes
0answers
7 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.
0
votes
2answers
56 views

Long/Short Backtesting Set up

I am going to be backtesting a Long/Short equity strategy and need some guidance on how best to deal with the short book. I was thinking that for each portfolio I would go long 50 equities and go ...
2
votes
1answer
72 views

How to get real-time data for Fama-French model?

For Fama-French model we need SMB (small[market cap] minus big) and HML (high[book-to-market-ratio] minis low). I want to ...

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