4
votes
2answers
78 views

Stochastic Calculus Rescale Exercise

I have the following system of SDE's $ dA_t = \kappa_A(\bar{A}-A_t)dt + \sigma_A \sqrt{B_t}dW^A_t \\ dB_t = \kappa_B(\bar{B} - B_t)dt + \sigma_B \sqrt{B_t}dW^B_t $ If $\sigma_B > \sigma_A$ I ...
0
votes
2answers
59 views

Portfolio Strategies Project

My first assignment for my Quantitative Finance Masters is to design a portfolio that theoretically makes money under any market movement. I am also asked to state all necessary assumptions. What ...
1
vote
0answers
36 views

Historical calibration of Hull-White model

I have a question concerning 1-factor Hull-White model. For my master project I need to calibrate it to compute Counterparty credit risk metrics. I know that the model might be calibrated either for ...
2
votes
0answers
47 views

Approximate asian geometric option with Heston

I am trying to implement Theorem 1 from this Journal in RStudio. The journal says the it is possible to find a approximate price of a geometric asian option in a Heston setup this way: ...
1
vote
0answers
31 views

How to calculate the estimation error of portfolio variance using propagation results?

I am trying to find a conservative approximation for the propagated estimation error of a investment portfolio's variance (comprising two assets), given we know the estimation error for the variance ...
1
vote
0answers
18 views

Calculate and compare IRR among products and companies

I am trying to calculate return on investment for a couple of companies and their respective products. I have two main products: credit card installment loan Owners would like to be able to ...
1
vote
2answers
49 views

does there need to be risk-neutral agents in the market to enforce risk-neutral pricing?

I'm trying to understand a fundamental link between mathematical finance and economics. I understand that risk-neutral pricing is free of arbitrage with replicating portfolio. Does risk-neutral ...
0
votes
0answers
47 views

CAPM Model Required Return Calculations [on hold]

In a CAPM model how would one calculate p given sigma, beta, and required return? How would one calculate beta given sigma and p. and how would one calculate required return only given sigma and p?
1
vote
2answers
46 views

Why is the value of debt modeled as a short put option in Merton's model?

Can someone give me an intuitive understanding of why the Merton model models the value of the debt from the lender's point of view as a short put with a risk free bond? I'm not well versed in this ...
3
votes
1answer
176 views

How to interpret negative asset volatility numerical results in Merton model?

I am currently working on my thesis where I discuss the Merton default probability model. I have a huge sample of US firms for the period 1990-2010. I use both numerical and complex iterative approach ...
0
votes
0answers
38 views

calculating share price from dividend discount model

I am trying to calculate dividend as per dividend discount model for titan company limited (india). Calculations: Cost of Equity: Now, As I have done calculation as shown above (formula on top ...
3
votes
2answers
161 views

Thesis using Momentum strategies in R, tips on good books, guidelines etc on how to do the programming?

I am quite new to R and will be doing an empirical analysis of momentum strategies in R using a dataset from the index OSEAX from 1980 to 2014. The momentum strategy will for the most part resemble ...
2
votes
3answers
138 views

Why can't you arb skew by buying options with low implied vol and selling high implied vol in the same month and dynamically hedging?

there's something I've been trying to understand for a while now and I just can't quite understand with regards to skew. In the same month, why can't you buy a option that have low implied vol on the ...
4
votes
1answer
104 views

Best simplified way to model volatility in returns of an investment in a risky fixed income asset

I am currently working on a project where I have analyzed a certain category of fixd income instruments, and I now have the gross aggregate yield as well as the theoretical gross-aggregate ...
2
votes
5answers
2k views

Is node.js being used in systematic trading software?

I have a project where I would like to track some tick data and create some indicators to follow it. I am thinking of using Node.js for this project, but I would like to know from those in industry if ...
0
votes
1answer
15 views

How to find optimal noise covariance matrices Q & R

I am trying to use the discrete Kalman filter for forecasting and I wonder what is commonly considered as the optimal way of determining the measurement noise covariance constants (Q and R) for a ...
3
votes
2answers
238 views

How google finance calculates beta of a stock

How google finance calculates beta of a stock - What is the proxy for the market? - What is the time period it uses for regression?
4
votes
1answer
63 views

Risk budgeting for Non linear Portfolios

I am using this question to compute optimal weights following a risk budgeting approach. The problem is I am using non-linear portfolios (options,equity,fixed income,fx). What I am looking for is ...
2
votes
1answer
82 views

Calibration Merton Jump-Diffusion

Consider the following SDE $dV_t = rV_tdt +\sigma V_t dW_t + dJ_t$ where $J_t$ is a Compound poisson process with log-Normal jump size $Y_i$. How am I supposed to calibrate this model to CDS ...
0
votes
0answers
30 views

Are limit orders mostly being matched by market orders?

When going over order book data, most limit-order executions look similar to the following: ...
4
votes
1answer
230 views

Models crumbling down due to negative (nominal) interest rates

Dear Stackexchange users, given that the negative interest rates on a lot of sovereign bonds with maturity under 10 years are trading in the negative (nominal) interest rate territory (recently also ...
0
votes
1answer
69 views

Feynman Kac Formula for path-dependent options

Consier geometric Brownian motion: $dS_t/S_t=\mu dt+\sigma dW_t$ Feynman Kac theorem tells us that the conditional expectation $v(t,x)=E[ e^{-rT}\Psi(S_T) | S_t=x]$ can be computed by solving the ...
0
votes
1answer
52 views

Delta hedging cost of exotic options?

I'm simulating dynamic delta hedging for up-and-out call option. For plain vanilla call options, I heard that the option price is the expected value of the accumulated delta hedging cost. Does it also ...
0
votes
2answers
275 views

Question on Barrier Option and Skew

If you bought an Equity Call Option with a Down-and-In Barrier, are you Long Skew or Short Skew? Please provide explanation as well. Thanks.
0
votes
0answers
13 views

Estimating Credit VaR using a simulation of joint defaults with a copula

I'm trying to follow the steps Malz gives to calculate Credit VaR using simulation of joint defaults with a copula. I'm having trouble understanding some of the steps. My math knowledge is rather ...
0
votes
1answer
85 views

VIX Calculation - weighting of strikes

The formula for calculating the VIX from SPX options is given on page 4 of this document: https://www.cboe.com/micro/vix/vixwhite.pdf My question is, why is the option price at each strike weighted ...
0
votes
0answers
10 views

Unexplained delimiters in Nasdaq ITCH file

I'm working on writing an order book constructor for Nasdaq ITCH v5 files, and I'm noticing some occasional message identifies/ delimiters that are not included in the ITCH5 specification, ...
0
votes
1answer
25 views

Calculating unweighted performance of stocks within a period

The well known calculation of unweighted index of stocks is just calculating an arithmetic average. And then, to calculate the performance of the index, I calculate the %change of the unweighted ...
1
vote
1answer
398 views

Empirical copula

I am trying to find the empirical copula linking two random variables $X$ and $Y$. I have some data available but it's limited with respect to the variable $Y$ and I am not convinced it's enough data ...
0
votes
1answer
28 views

Futures Parameters for Value at Risk

I am new to risk management. I am calculating the VaR for a portfolio of futures contracts, long and shorts. I calculated it using the historical, parametric, and MC method. But there is something ...
0
votes
1answer
40 views

Interpretation of vega out of BS formula

I am comparing Monte Carlo estimates of VaR (using importance sampling) under both the normal and student distributions. I am also considering risk factors other than log-prices; in particular, ...
2
votes
1answer
82 views

Up and Down days in GBPUSD and a Filter

I want to study if the odds of an up or down day in a forex pairs is 50-50. I just count the total number of up and down days in X years and compare it with the total days. The results are very ...
1
vote
1answer
42 views

How are Quandl monthly S&P500 earnings estimates derived?

Can someone explain how the monthly earnings estimates are derived for S&P500? Quandl sources multpl.com, who state: ...
2
votes
2answers
118 views

Option with payoff $K^2/S^2$

Given the dynamics of the risky asset ( with dividend $q$ ), $$ \frac{dS_t}{S_t}=(\mu-q)dt + \sigma dW_t^P $$ Consider a european option with payoff, $$ P_0(S) = \begin{cases} 1, & ...
1
vote
1answer
105 views

What are some quantitative trading strategies used by high-frequency trading companies to make a killing on a market crash day on 24Aug2015?

http://blogs.barrons.com/focusonfunds/2015/08/24/high-frequency-trading-firms-just-made-a-killing/ Virtu Financial (VIRT), the high-speed trading firm that went public earlier this year, was one ...
0
votes
0answers
29 views

Shrinkage Estimator giving unrealistic portfolio variances

I have a historical covariance matrix which is invertible for daily and monthly returns. I used the Ledoit,Wolf shrinkage estimator for the covariance matrix and now I get really small portfolio ...
0
votes
0answers
12 views

C++: Derive a class template from QuantLib::PiecewiseYieldCurve [migrated]

I would like to derive a class template from QuantLib::PiecewiseYieldCurve. This is my derived class definition: ...
2
votes
1answer
59 views

Parametric VaR with Student-t distribution

Im using VaR to estimate parametric VaR. I have been able to do this using a Normal Distribution, however I want to also do this using a Student t-distribution and I'm unsure how to implement that in ...
0
votes
3answers
100 views

Is variance additive only under Log-returns?

Can't seem to figure this one out by thinking it through. Let's say that the simple return $R_t=P_{t+1}/P_t -1$ is assumed to be $R_t \sim iid N(0,\sigma^2)$. Thus, a two period return would be ...
0
votes
1answer
58 views

About the boundary conditions of the Black-Scholes-Merton PDE

I have a question about the solution of the Black-Scholes PDE for the European call option when I read the book Stochastic Calculus for Finance II of Steven E.Shreve. Let $c(t,x)$ be the value of the ...
0
votes
1answer
37 views

Ledoit-Wolf Shrinkage estimator not giving positive definite covariance matrix

I used ten year daily data for 407 stocks and computed the daily and monthly covariance matrices. Since I have more variables than observations for the monthly matrix, I wasn't surprised to find the ...
0
votes
0answers
8 views

The calculation of NIBID rate from 2013 by using NIBOR rate (UIP)

I need to calculate the NIBID rates from 2013. I have the NIBOR as a starting point and some indications but I am still quite confused. I found some advices online, but it does not seem to get me the ...
1
vote
3answers
74 views

When valuing a vanilla option on an index, should we take dividend into account?

When valuing a vanilla option on an index (eg FTSE 100), should we take index dividend yield into account? $$ c=Se^{-q\tau}N\left(d_1\right)-Ke^{-r\tau}N\left(d_2\right) $$ $$ ...
1
vote
1answer
77 views

Pricing employee stock options

ESOs are typically priced using the black-scholes model, but with an additional parameter for for the employee turnover rates . An example ...
0
votes
0answers
13 views

Expectation Hypothesis: forward variance

I am trying to understand the Expectation Hypothesis from Campa and Chang (1995). In the paper of Byoun et al. they use this formula to estimate the forecast biasness of options. $$ V_{1,k} - V_{0,k} ...
4
votes
2answers
323 views

VaR mapping - Forward Foreign Currency Contract

I have a question about VaR mapping for FX forwards. Please bear with me while I outline the problem. Philippe Jorion's book discusses VaR mapping; a means to break down complex instruments into ...
4
votes
2answers
231 views

HFT to blame for Flash Crashes?

Some people 1, 2, 3 claim that High Frequency Trading is partly to blame for the extreme volatilities in the markets yesterday (24. August 2015). Is that true? Is the amount HFTs move even enough ...
0
votes
0answers
8 views

What equal installment of annual payment will discharge a debt which is due as Rs. 848 at the end of 4 years at 4% per annum simple interest? [closed]

The above question can be calculated by using the formula x=100P/(100n+n(n−1)r/2), which gives the result = 200. My doubt is that 200*4 gives 800. So when the balance (848-800) 48 will be paid?
2
votes
3answers
217 views

Deposit vs. LIBOR rates? (Bloomberg/SuperDerivatives)

I noticed that Bloomberg and SuperDerivatives both use "Deposit Rates" for the calculation of forward points for currencies. I couldn't find anything online that describes precisely where these rates ...
0
votes
3answers
67 views

Realtime Exchange Rate Data API

There are various sources for real-time exchange rate data, e.g. Ariva EUR/USD. Is there also an API or other source which enables to automatically retrieve real-time exchange rates as a data stream ...

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