All Questions

12
votes
1answer
1k views

Examples of Spectral Risk Measures

Let's take the usual definition of a spectral risk measure. If we look at the integral we see that spectral risk measures have the property that the risk measure of a random variable $X$ can be ...
1
vote
3answers
72 views

Log of square of Geometric Brownian Motion

Which of the two calculations below, is wrong? Why? $dF = \sigma F dW$ First: $dF^2 = (F^2)' dF + \frac{1}{2}(F^2)''dF.dF$ $dF^2 = 2F dF + dF.dF$ $dF^2 = 2 \sigma F^2 dW + \sigma^2 F^2 dt$ $\...
0
votes
0answers
3 views

Options on EuroStoxx Dividend Futures Data

Does anyone know where I could buy, scrape, or barter this data? Just need closing prices for each available strike going back as far as possible.
0
votes
1answer
49 views

What's the logic behind binomial model ups and downs?

I want to understand what is the underlying logic in the calculation of u and d in a binomial model. $$ u = \exp\Bigl(\sigma \sqrt{\Delta t} \Bigr), \quad d = \exp\Bigl(-\sigma \sqrt{\Delta t} \Bigr)...
0
votes
2answers
297 views

Merton model for Probability of Default - What liabilities?

In Merton structural model for credit risk (74), the company's Assets and Liabilities are used to imply the default probability of the firm. At the end, we don't need to know the assets value, and ...
1
vote
0answers
19 views

VaR and CVaR in AR(1)-GARCH(1,1) model

I'm studying risk management and I have a homework question about calculating (1) 1-day VaR, (2) 1-day CVaR, and (3) k-day VaR in AR(1)-GARCH(1,1) model: $$r_t=\theta r_{t-1}+u_t$$ $$u_t=\sigma_t\...
6
votes
0answers
140 views

No arbitrage conditions for normal implied volatility

usually the term implied volatility refers to Black-Scholes implied volatility (also Log-Normal volatility): it is defined as a quantity which when plugged in the Black-Scholes formula returns the ...
1
vote
2answers
83 views

Portfolio volatility - Real life application

Given that a portfolio consists of Stock=USD 30, High-yield bonds(duration=5 years,spread duration=5 years) =USD 40 , Commodity = USD 30.
0
votes
1answer
78 views

Calculation of Bond returns

Given that I have a portfolio of High yield bond with USD 50.
0
votes
1answer
42 views

Gold forward price

In the Hull book, i saw the following exercice and its answer : Suppose the one-year gold lease rate is 1,5% and the one-year risk-free rate is 5%. Both rates are compounded annually. Calculate the ...
0
votes
0answers
15 views

Error in Yahoo! adjusted prices - The case of AAPL [duplicate]

One of my students reported that return for AAPL between April 30, 2014 and June 30, 2014 was different than what was shown in my class notes which were prepared in early 2016. I investigated the ...
1
vote
1answer
81 views

Volatility surface for Swaptions

I understand the volatility surface for swaption is built using implied vols of ATM swaptions. I had a question on the instruments that are used. Should the instruments used change depending on the ...
0
votes
1answer
15 views

Transactional costs for shipping in % based on futures market price

Real case: Imagine I want to move an oil for one terminal to another. I have about 20 +/- tanker companies, but all of them have max capacity on their top deadweight (DWCC) vessel about ...
6
votes
1answer
243 views

Risk management tools for long term Gamma/Vega sellers subject to margin calls

TL;DR: if you're a retail investor and you systematically sell long-term vertical spreads while staying Delta-neutral, your main risk comes from Vega and the Gamma of opening gaps that can throw you ...
0
votes
0answers
36 views

Self financing strategy and repo rate

I was wondering how to adjust the self financing condition when cash borrowing cas be secured by the stock. Suppose the risk-free money account is $B_t$ and there is a risky asset $S_t$. One have ...
0
votes
1answer
48 views

No-arbitrage and the sharpe ratio?

I'm reading a paper and it says that in a no-arbitrage market the sharpe ratio is the same for all bonds. I'm guessing that a difference in two bonds sharpe ratios would open the possibility of ...
1
vote
0answers
64 views
+50

Local Volatility calculation in Python

I am trying to price Local Volatility in Python using Dupire (Finite Difference Method). I have following set of information Spot: 770.05, Strike: 850, Type: 'C', rfr: 0.0066, time to maturity = ...
2
votes
1answer
128 views

What are some beginner quantitative option trading strategies?

I'm new to quantitative trading, with good knowledge in finance and coding (mainly Python, Java, R, etc). I would like to know if there are any basic quantitative option trading strategies that can ...
4
votes
1answer
240 views

Exposure calculation of a re-coupon swap

How to calculate the exposure of a recoupon swap (when the MTM of an i.r. swap is settled and the fixed rate is reset to the prevailing swap rate for the residual maturity). It's used to reduce the ...
0
votes
0answers
10 views

How do I calculate from discountfactor to zerorate in Python using Quantlib

I knew rate to discountfactor InterestRate.discountFactor(yearFraction) I want to calculation discountfactor to zerorate
0
votes
0answers
26 views

Which Maximum Diversification Approach in MATLAB is correct?

I am currently trying to find the portfolio weights of the Maximum Diversification Portfolio and found two approaches which result in different outcomes. The first one is based on this paper:https://...
1
vote
0answers
1k views

Finding ETF Symbols for alpha vantange

I'd like to use the api of https://www.alphavantage.co/ which is pretty well documented, in terms of avaliable functions (but not parameters). However, in order to get an API response, one needs to ...
7
votes
2answers
2k views

Getting ETF data from google finance

I hope this is on-topic. I want to set-up a set of investment rules and back-test it on a mix of asset-classes. Thus I thought that using ETFs for the back-test would be a good idea (time series could ...
2
votes
2answers
404 views

High-frequency historical IV data

Where can I buy historical IV data for specific individual stocks on specific days calculated at least once-per-min (preferably once-per-second)?
4
votes
1answer
76 views

Avellaneda-Stoikov empirical estimation verification

The solution of the model contains constant: $k = \alpha K$, it relates to: (i) probability of getting a fill ($\alpha$) and (ii) market impact ($K$). Estimating (i). The author proposes that the ...
0
votes
0answers
16 views

What's the difference between demand elasticity and demand volatility?

What's the difference between demand elasticity and demand volatility? Demand elasticity: https://www.investopedia.com/terms/d/demand-elasticity.asp Demand volatility: https://www.sdcexec.com/home/...
0
votes
1answer
33 views

Modified Sharpe ratio

I would like to model different type of investors, hence I need to find some kind of utility functions to optimize. Apart from very abstract exponential utility function, I couldn't find any proper ...
0
votes
0answers
46 views

Philosophy of Financial Risk

Do you think that there exists a framework on that you can build risk measures? What are the necessary and desirable properties of a risk measure? (necessary means compulsory and desirable means more ...
0
votes
0answers
10 views

Historical quotes / prices of multiasset options

I am working on Lévy copulas, and I would like to try calibrating such techniques on real data. Where can I find quotes for multi-asset options? It could be exchange options or any other type of ...
0
votes
3answers
59 views

Definition of the field YAS_RISK for bonds on Bloomberg terminal

The Bloomberg terminal has the following definition for the field YAS_RISK (SP190): "Indicates the price sensitivity given shifts in interest rates." It does not specify, however, what currency is ...
0
votes
1answer
279 views

API for fundamentals for NSE and BSE

I want APIs for accessing fundamental data of all stocks in NSE and BSE India. I have searched a lot But no luck. Any such services available please guide me. I'm looking for specifically quarterly ...
4
votes
1answer
65 views
+50

how to simplify Inflation year-on-year option to Zero-coupon option

Belgrade 2004 paper basically proposes that inflation year-on-year volatilities (and hence yoy options) are basically the spread vols between the Zero-coupon vols from (t0 to T) minus the zero-coupon ...
2
votes
1answer
528 views

Trader Workstation on Ubuntu cannot be connected to via the API

I am using ibPy to connect to TWS on a fairly fresh ubuntu machine. I have been successful in logging into the paper trading account and submitting buy and sell orders programatically via the ibPy ...
0
votes
0answers
27 views

Jump Diffusion Model - Volatility and Mean of Jumps

I am trying to understand the concept of jump diffusion model. So far what I've understood is that by adding a Jump parameter to a GBM (Geometric Brownian Motion) we can generate a Jump diffusion ...
1
vote
2answers
353 views

Is exposure at default the same thing as the limit amount on a loan?

In Credit Risk terminology, is the Exposure at Default(EAD) the same thing as the total Credit LIMIT amount on the Loan? Because if Bank gives a loan with a limit of 10,000$ and the borrower has a ...
2
votes
2answers
63 views

Are all changes of measures for continuous diffusion processes given by the change of drift?

In elementary discussions on change of measure for geometric Brownian motion, one often find statements like "change of measure = change of drift". Given a general continuous diffusion process of the ...
9
votes
1answer
1k views

Is the local volatility linear if smile is linear?

Assume $dS = S_t\sigma(S_t,t)dW$. Given a implied volatility smile which is linear in, say, $(K - S_0)$, (we know its intercept and slope), we wish to calibrate $\sigma(S_t, t)$ to it. Will it too be ...
2
votes
3answers
301 views

Risk neutral measure doubt

For a derivative in a complete market, we can say that: $h_0 = E(h_t)$ assuming 0 risk free rate. Is the above relation also valid for a stock/ non derivative i.e. $s_0 = E(s_t)$ under the same risk ...
0
votes
0answers
54 views

How to 'Decompose the volatility of IBM into systematic and idiosyncratic volatility.'

This is a past exam question for a second year University exam on Financial Economics and Capital Markets: Your investment portfolio consists of £10,000 invested in only one stock, IBM, with an ...
0
votes
1answer
137 views

Basic Replication of European Call Option

I am looking at the very basics of replicating an option with a portfolio of risky and risk free assets. As such we can define a portfolio of $x$ no. of shares, $y$ bonds & $z$ options at time $(T)...
0
votes
1answer
35 views

Linear Interpolation around End of Month (EOM) for IRS with standard rolls

I have a USD IRS S/A v 3M LIBOR with the following dates: Effective: 30th April 2018 Maturity: 28th April 2028 (Rolls day of month = 28) Therefore stub period runs from 30th April 2018 to 28th July ...
13
votes
3answers
2k views

Estimating Parameters - Vasicek

The Vasicek model for the short rate $r_t$ is given by the SDE $$ dr_t = \alpha(\beta - r_t)dt + \sigma dW_t, $$ where $W_t$ is a Brownian motion under the physical measure. I'd like to compute bond ...
1
vote
1answer
59 views

What's the difference between instantaneous forward rates and observable forward rates?

Source: http://docs.fincad.com/support/developerFunc/mathref/LIBORMarketModel.htm "In contrast to models that evolve the instantaneous short rate (Hull-White, Black-Karasinski models) or ...
0
votes
0answers
37 views

stochastic volatility and smile

Can we say that the volatility smile contain for sure stochastic volatility information ? If yes why ? Saying that BlackScholes does not explain the smile does not necessary mean there is an ...
5
votes
2answers
438 views

Question about using binomial interest rate tree to value callable bonds

When we use a binomial interest rate tree to value callable bond, we work backward, right? If any computed bond value is larger than the call price, the bond will be called. The call price will ...
2
votes
1answer
364 views

CBOE Index Minute Data

I am doing a small research and looking for a place to purchase historical minute CBOE Index data. I am interested in: VIX - CBOE Volatility Index VVIX - CBOE VIX VOLATILITY INDEX VXV - CBOE VIX ...
0
votes
0answers
29 views

PCA predicted yield curve moves do not match (closely) realized yield curve moves

I have a need to set-up a methodology to decompose the x-day yield curve moves into its underlying (3) PCAs. Specifically, for an example, to generate the 1-day moves in the EUR-swap yield curve; ...
17
votes
4answers
9k views

Free intra-day equity data source

Are there any free data source for historical US equity data? Yahoo finance has daily prices but I'm looking for something more granular and goes back 2 or more years (doesn't have to be close to tick ...
2
votes
0answers
39 views

Novikov condition for Vasicek process

Suppose that we have a money account $S^{(0)}$ with dynamics \begin{align} dS^{(0)}_{t} = r_{t} S^{(0)}_{t}\, dt, \end{align} where \begin{align} dr_t = a(b-r_t)\, dt + \sigma_{r} \, dW_t^{(0)}. \...
4
votes
1answer
118 views

No-arbitrage in term-structure models

I am a bit confused about what the implication of "no-arbitrage" in popular term struchture models (such as affine term struchtre models or HJM models) are? Is it solely a restriction on the cross-...

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