All Questions

666 views

Calculate bond returns from yields

I have to construct and evaluate portfolio of bonds and stocks, namely I need to get return on portfolio, standard deviation and sharpe ratios. I have weekly data that contains stock prices, and I ...
1k views

What are the textbooks used to teach Quantitative Trading at universities?

For example, Stanford has a class on quantitative trading. But i am not able to determine what are the textbook(s) used in this course. The same also applies for similar courses at Stony Brook, ...
55 views

Suppose there are k different stocks in a stock market. All of their prices are independent from each other. One year from now the price of the i-th stock will be $X_i^2$, where $X_i \sim \mathcal{N}(... 2answers 2k views How to price a bond without paper during interview? I heard that this kind of questions appear a lot in the interviews. Here is one I saw from Galssdoor: Price a bond with coupon rate 3%, yield 9% and maturity 10 years. What is the typical way to do ... 4answers 836 views Is there anyone still using Markowitz modern portfolio theory? I was reading about the MPT (Use standard deviation as risk measure) on "Mathematics for Finance by Marek Capinski". I was just wondering is there anyone actually applying this theory to their ... 3answers 853 views Daily option data I am wondering where I can pull daily (hourly, by-the-minute, etc. even better) option data for a particular underlying. I would prefer a database I could scrape through and API, but would not mind ... 2answers 353 views Problem when calculating the daily return on a forex trade, what is the best way to do such a calculation? I intend to calculate the daily return on my investment in forex. Assume a trader invests$\$$40 at a leverage of 100:1, so in total he is trading \$$4000 worth of currency, and assume the position ...
1k views

It is claimed that the credit default swap (CDS) spread should approximate the risky par bond yield or coupon rate spread from the riskless bond on the same entity. This comes about when we assume ...
200 views

Set up sharpe ratio with 2 risky portfolio

You are considering an investment in the stock. In the stock market, there are two risky stocks (A and B) and a risk free claim, C (you can think of it as the t-bill). The covariances and returns of ...
51 views

Currency Portfolio G10 vs USD allocation

Given that I have fundamental data such as GDP growth rate for G10 countries .Now I want to build a currency pairs portfolio of G10 currencies vs USD .How can I translate country scores to currency ...
633 views

forward implied volatility skew

I would like to calculate implied forward volatility skew. I have stochastic volatility monte carlo. What kind of payoff do I need to price and how to use Black() formula to calculate the implied ...
95 views

What is meant by “position at a given time” in the context of a series of forex trades?

Suppose you are only talking about a single currency pair, say EUR/USD. Throughout some period of time, you engage in trades with various other parties, sometimes buying, sometimes selling. The rates ...
712 views

Elicitability of risk measures

I read that CVaR (Conditional Value-at-Risk, also Expected Shortfall), satisfies coherence, but not Elicitability. On the other hand, VaR satisfies Elicitability, but not coherence. What is ...
63 views

Bond Interest Rate Swap Growth Rate [closed]

this should not be here because it shouldn't be here forever and eve
140 views

Volatility estimation: sampling frequency and scaling

I have a year long stock data sampled at 5 min frequency and would like to estimate monthly volatility using it. I am thinking using GARCH or TGARCH for volatility estimation. However, I am not sure ...
121 views

option pricing with limitation on the change of underlying daily changes

how are we supposed to price an European option given the fact that the daily return of the underlying is limited within -X% to X%? For example, if X = 5, the price of the underlying cannot go up 8% ...
541 views

What is the fastest way to decode the FAST protocol for market data?

What kind of technology are people using these days for decoding FAST? Can FPGA be used in that area?
2k views

Why are interest rates and stock prices positively correlated?

If I've been looking at graphs correctly, there is a strong positive correlation between stock prices (or P/B values) and interest rates over time, i.e. P/B values tend to be high when interest rates ...
247 views

How to reduce fx currency pairs ? PCA or other tools?

I have 19 currency pairs like USD.AUD, USD.CAD, etc. Also 82 cross currency pairs like AUD.CAD, EUR.AUD,EUR.CAD etc. When I look to their graphs, most look similar, so I want to reduce number of pair ...
294 views

“Adding” risk-free asset to covariance matrix after the fact

Given a covariance matrix that was calculated from the returns of a number of risky assets. Is there a way to "add" a risk-free asset to the covariance matrix without calculating its covariance with ...
87 views

I am reading a report which talks about seasonality. There is a chart showing the average returns for each month of the year. In the chart it appears the last 3 months of the year tend to be negative. ...
280 views

Show that $E[B_t|\mathscr{F}_s] = B_s$

Given prob space $(\Omega, \mathscr{F}, P)$ and a Wiener process $(W_t)_{t \geq 0}$, define filtration $\mathscr{F}_t = \sigma(W_u : u \leq t)$ Let $(B_t)_{t \geq 0}$ where $B_t = W_t^3 - 3tW_t$. ...
269 views

Determine $E[W_p W_q W_r]$

Given prob space $(\Omega, \mathscr{F}, P)$ and a Wiener process $(W_t)_{t \geq 0}$, define filtration $\mathscr{F}_t = \sigma(W_u : u \leq t)$ Let 0 < p < q < r. Determine $E[W_p W_q W_r]$. ...
81 views

finding the strike / maturity of warrants given their ISINs

I have a list of French traded warrants identified by their ISINs. I do not know, however, to which stock they refer and what is their strike/maturity. Which datasets allow me to retrieve this ...
140 views

What are the roles of “Game theory” and “optimisation (linear, integer, conic)” in Finance, Mathematical Finance? [closed]

Would you please give me some information about application of "Game theory" and "Optimisation" in Finance and Mathematical Finance? which is more important to know and learn? How about "multi-...
315 views

CAPM (SML) Problem

I got 1.3636 for beta for the problem below(165/121). But I became so unsure about the answer when I solved (c) because then the market risk becomes larger than the variance of Stock A. Beta^2*σ(M)^2=...
53 views

How to map shocks from VAR to news? (Academics)

I am trying to map shocks from VAR to discount-rate and cash-flows news following the paper of Campbell and Vuolteenaho (2004). It is said that news are a linear combination of shocks from VAR at (t+1)...
573 views

Calibrating an Ornstein Uhlenbeck process on residuals of regression

I am trying a basic statistical arbitrage strategy as follows: Perform PCA on a log return series of a basket of stocks Regress returns against top principal components identified Calculate the ...
46 views

Interest rate on loan for purchasing Sterling bond

I am struggling trying to find out where they get the $8$% interest rate for the loan you make to purchase the Sterling Bond in the following strategy: Problem: Suppose that $A(0)$ = $100$ and $A(1)$...
591 views

Portfolio Turnover Constraint

I have a few bonds and OAS and Duration for each. I had a Linear programming type of problem where I had to maximize OAS and keep duration <= constraint. There are few other constraints. I could ...
94 views

Time Lag for Market Inefficiency

I recalled reading a academic paper that studied how long a market exploitation took to get priced into the market. I am trying to find that article. I remember it stating that the market priced in ...
142 views

ISLAMIC FINANCE WACC

I need to calculate WACC for copany operating in the coutry with islamic finance system. I used build-up method to calculate cost of equity. But still searching for cost of debt in the economy. Has ...
249 views

Level II market data (equities)

I have been playing around with some equities historical market data and I understand that different exchanges have different definitions of what Level II (Limit Order Book) data means. What I'm ...
137 views

Which quantitative tools are actually used for hedging energy price and volume risk?

I'm a finance professor and I am looking for someone with actual trading and risk management knowledge within the energy sector who can tell me about pricing and hedging energy (especially electricity ...
275 views

I am using MATLAB to do an optimisation. The QP minimisation problem is set up in the standard form shown below. The optimisation is used to calculate the weights (x vector in the equation below) of a ...
203 views

Efficient Frontier Derivation: why minimize half the portfolio variance instead of just the variance?

In Robert Merton's derivation of the efficient frontier of a portfolio, he minimizes $\frac{1}{2}\sigma^2$ over the investment weights in each asset, where $\sigma^2$ represents portfolio variance. ...
268 views

Interpolating probabilities of default

I have a table of cumulative probabilities of default of industrial bonds, in time and credit rating. It is similar to S&P whitepaper here. Basically, it looks like this (sample numbers): ...
245 views

Is it fair to assume $(ud=1)$ in the binomial tree option pricing model?

I have discussion with my colleague on why a general assumption $$ud=1$$ in binomial tree option pricing model would be necessary? I take it a simplification of the problem, otherwise, there will be ...
399 views

How to interpret ACF and PACF plots

I just want to check that I am interpreting the ACF and PACF plots correctly: The data corresponds to the errors generated between the actual data points and the estimates generated using an AR(1)...
378 views

Law of a geometric brownian motion first hitting time (formula dont match Monte Carlo Simulation)

I posted this question before on MSE I need to use it in a small step in the middle of a simulation and I think I'm not getting correct results to this probabilities and so for my all ...
8k views

What's the intuition behind DTS(duration times spread) in fixed income?

I am having some difficulty grasping the concept of using DTS to measure credit risk. In the equity world, one typical measure of risk is beta, which is quite well-defined as the exposure to a common ...
278 views

Data provider for daily futures settlement prices

Is there a data provider that has historical daily settlement prices for download? I'm interested in a provider that spans multiple exchanges.
289 views

What are the most effective market variables to measure liquidity/illiquidity in the market?

I'm trying to find/create a variable that measures liquidity in financial markets in order to assess, for instance whether credit conditions tightened? Does anyone know any relevant literature ...
73 views

Is it possible that a security with a positive variance can have a required return that is less than the risk free rate?

I'm not sure of the answer but I think it's possible. What I don't get is what characteristics this asset would need to have and why it would mean that an investor would accept a return less than the ...
81 views

optimisation problem with linear constraint

I have an optimisation problem. I wish to maximise a function subject to a constraint. It is the constraint that is causing me problems. I am using an addin in Matlab which does the optimisation ...
132 views

AT1 ratio, Core T1 ration and CET1 ratio

I would like to first know the precise definition of each one of those 3 ratios as well as there differences. On the web there is bit of a mess on the explanations. I could not find a simple and clear ...
393 views

Text book or distilled guide to market making?

Are there any practical articles, blogs or books that describe common practices in market making and how to calculate and use common measures? The majority of the information I found are research ...
195 views

GMM time-series regression factor model with factors that are not returns

Factor models with factors that are not returns are usually estimated and tested by cross-sectional regressions. However, there is a way to use time-series regression to estimate and test the model. ...
Consider a American floating strike put option with maturity $T$, written on a non-dividend paying stock $S_t$. The strike of this option at time $t\leq T$ is $Ke^{-r (T-t )}$, where $r$ is the ...