All Questions

0
votes
1answer
16 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
7 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
6 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
48 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 ...
2
votes
1answer
77 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
66 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
1answer
277 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
54 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
19 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
349 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
60 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 ...
8
votes
1answer
997 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
294 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
46 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
134 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
32 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
50 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
32 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
436 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
362 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
19 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
37 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-...
2
votes
1answer
2k views

Do you know any data source for historical VWAP data?

I am looking for historical VWAP pricing data for north american equities. I haven't been able to find a free/cheap data source. Do you guys know of one ? Also, is there a way to proxy for an equities ...
1
vote
1answer
148 views

Historical tick data level 1 and level 2

I am a software engineer and want to run some simulation of over historical market data . I am pretty new to finance and trading world. To automate some of my strategies I would like to run some back ...
3
votes
2answers
107 views

Pricing a callable bond

I have read the Lehman Brother's paper on OAS which I mostly understand, they outline how to find the OAS for a callable bond of which the formula is effectively (ignoring refinancing costs): Market ...
1
vote
0answers
22 views

Can a stochastic process be neither adapted to filtration nor previsible?

The idea behind the question arises from my intuition about the concepts of 'adapted to filtration' and 'previsbility'. If a process is adapted, it essentially means that the evolution of the ...
22
votes
5answers
6k views

Which Algorithmic trading library would you recommend for trading Bitcoin?

I am starting to do Algorithmic trading in cryptocurrencies using Python libraries. Most exchanges have RESTful API that make it easy to write you own code and get started. However, I would like to ...
0
votes
0answers
21 views

CDS Credit Default Swap PnL

I estimate daily pnl on a CDS position using the spread change times the CS01. However I would like to estimate the PnL for a longer trade that has gone from a 5Y CDS to a 4Y with associated coupon ...
1
vote
2answers
419 views

Calculating Fx Swap from Cross Currency Swap

I am trying to calculate Fx Swap points of a currency pair from the corresponding Cross Currency Swap rate on the same maturity. I.e if I know that my USD/TRY 5Y rate is 16% and my USD/TRY spot rate ...
1
vote
1answer
67 views
2
votes
1answer
65 views

Expected value of stochastic optimization

I have a optimization problem where the SDE is: $$ dX(t) = [X(t)(u(t)-\beta(t))+\theta(t)]dt+X(t)u(t)\sigma dW(t), t \in [0,T], X(0) = X_0 $$ where $\beta(t)$ and $\theta(t)$ are deterministic ...
2
votes
1answer
143 views

How to interpret and define statistics of GBM output

I am trying to model the future prices of a number of commodities. For this, I am applying geometric Brownian motion, writing a Monte Carlo code in Python. Given that I want to estimate tommorows ...
0
votes
1answer
56 views

Solving for Implied Volatility Vega gets stuck at 0 (Python)

So my goal is to calculate option greeks with as few manual inputs as possible. I managed to get the IV for at the money options but then when I try further OTM strikes my results get completely ...
2
votes
1answer
155 views

Expected value of delta-hedged portfolio

Consider portfolio in black-scholes world $\Pi = \Delta S - V$, where $S$ is the stock price and V is the price of the option. I have read that if we set $\Delta = \frac{\partial V}{\partial S} $ ...
0
votes
0answers
29 views

How to find out where a public company spends money?

Occasionally I will see articles about how Company X spends x dollars on A, and Company Y spends y dollars on B. Here is an ...
1
vote
1answer
78 views

Bitcoin dynamics - C++ Simulation

I would like perform a simulation of Bitcoin future prices given a sample of the 4 past years (2014-2018). My problem is that I do not know what model to use! For common stocks I used the geometric ...
0
votes
1answer
20 views

A quick and dirty loss distribution and Credit VaR

I need to create a loss distribution for a credit portfolio as the first steps to estimate the portfolio Credit VaR. I have historical monthly account snapshots (payment history) of all accounts ...
0
votes
1answer
24 views

Calculate the implied loss rate on a loan, given the interest charged

My bank has a retail credit portfolio of 100 million in loans. I know the payment history,balance history of all these loans since inception. Are there any tools to calculate an expected loss, a loss ...
3
votes
1answer
151 views

Question on Gÿongy' lemma proof

I have some questions regarding a proof of Gÿongy's lemma given in 1 I would like to understand the following passage: $$ \int_{s=t_0}^{s=t}\mathbb{E}\left[\delta(X_s-K)\langle dX_s\rangle^2 \right]= ...
1
vote
0answers
37 views

Simulation of Stochastic Volatility with Correlated Jumps (SVCJ) price paths

I am trying to simulate price paths for Monte Carlo option pricing of the Stochastic Volatility with correlated jumps model as presented in Dufffie et al.(2000), Eraker et. al. (2003) and Eraker (2004)...
2
votes
1answer
64 views

Computing FX forward returns using spot returns and an existing term structure

Sorry for the naive question, I am new to the area. I have YTD spot returns on the USD/GBP pair and a forward yield curve. How would one go about computing the forward returns in 2 years using this ...
1
vote
2answers
1k views

Call and Put Prices Equal at Forward Price - Why?

Consider a European call and put with values $C_t$ and $P_t$, respectively, under the Black-Scholes model. By put-call parity, $$ C_t - P_t = S_t - Ke^{-r(T-t)} $$ for expiration time $T$. Note if $...
2
votes
2answers
114 views

What is “Lambda” in Heston's original paper on stochastic volatility models?

In his paper (link), he has the equations: b1 = k + ƛ - (ρ * σ) b2 = k + ƛ k is the rate of mean reversion, ρ is the correlation between the two Wiener processes, σ is vol of vol, what is ƛ? ...
0
votes
1answer
81 views

Eurodollar Futures - ED1, ED2 etc. How to build series?

I am looking at Eurodollar Futures contracts and was wondering how to build series ED1 up to say ED20. Let's assume I have data from 01-01-2004. My understanding is that: ED1 - perpetual front-...
1
vote
0answers
200 views

State of Art - Nelson Siegel Modeling

My idea is to work with dynamic Nelson Siegel models(DNS) on my master's thesis. As I am finishing undergraduation this year I started researching on the subject. I wonder what is being discussed in ...
0
votes
0answers
27 views

Binomial model option

An American call option with exercise price $K = 90$ written on an asset where the asset prices in dollars are given below, the interest rate per period is zero, and a dividend of $5$ is paid between ...

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