2
votes
1answer
175 views

How did we get $W_g=W_b$ from $\dfrac{U'(W_g)}{U'(W_b)}=1$?

My question is from Nicholson-Snyder's text , E-book here. My question is here, from page 217 of the book. (I can't post image as my reputation is not enough.) How did we get $W_g=W_b$ from ...
0
votes
1answer
304 views

IB with R which package?

I want to implement my models in R and trade according to them with my IB account. Now I am wondering, how I should solve this problem? Do I need to program with C an access ...
4
votes
3answers
633 views

Where to find historical stock news and other events?

So, I am working on a strategy that has pin-pointed some very interesting events in the form of extremely low volatility. The phenomena spans the past few years and a wide variety of symbols. Now, to ...
3
votes
2answers
95 views

What is the difference between these two equations for GBMs?

The two equations commonly found online for GBM are: $\begin{matrix} S_{ t }=S_{ 0 }\exp\left( \left( \mu -\frac { \sigma ^{ 2 } }{ 2 } \right) t+\sigma W_{ t } \right) \\ S_{ t }=S_{ 0 ...
2
votes
1answer
760 views

How to estimate market integration parameter in Singer-Terhaar model for E(r)?

Singer-Terhaar is part of CFA II and III curriculum. It estimates risk premium for some asset, traded at some local market, as weighted average of expected premiums for the case of (1) local market, ...
2
votes
0answers
148 views

How to determine risk-free rate of Ecuador?

I have a question in determining the risk-free rate of Ecuador. For developed countries like United States and Great Britain, the risk-free rate can be obtained in financial database such as Reuter or ...
0
votes
2answers
209 views

How is holding an European call option equivalent to holding an asset-or-nothing call option and writing a cash-or-nothing call option?

The cash-or-nothing call option has a payoff that is equal to the strike price. All three options have the same expiry date.
-1
votes
2answers
249 views

How to compute $\mathbb{E} \left[ (W_s + W_t - 2W_0)^2 \right]$?

The solution to the SDE $$dx_t= -kx_t dt + cx_t dW_t$$ is $$x_t = x_0 e^{\left(c - \frac{k^2}{2} \right)t}e^{-k W_t}$$ with mean $$\mathbb{E} \left[ x_t \right] = x_0 e^{\left(c - ...
1
vote
1answer
208 views

How can I calculate the margin requirements for a Bitcoin futures contract?

Suppose that I want to calculate what the margin requirements should be for a Bitcoin futures contract, where the contract is the USD/BTC exchange rate (settled in Bitcoins). I've looked at the SPAN ...
3
votes
2answers
430 views

Calculating and interpreting cumulative returns is R

I have buy and sell signals,and accordingly, I artificially generate a signal series,for which,I assign 1 to every buy and -1 to every sell: ...
3
votes
0answers
459 views

mean reversion with Kalman Filter - Spread calculation

Ernest Chan in its book "Algorithmic Trading" shows how to use the Kalman Filter for mean reversion pair trading. I have seen that he uses the measurement prediction error for calculating the spread ...
0
votes
0answers
94 views

BS Implied Volatility under Normal returns

If I use theoretical prices under a normal valuation model, and I estimate their implied volatility using BLACK SCHOLES implied volatility, do I'll get corresponding log normal volatility?
5
votes
3answers
731 views

Expected Shortfall (CVaR) Backtesting

I am writing my thesis on VaR and ES risk measurements and have encountered some issues with how to best test the accuracy of ES estimates. My understanding of the topic is that backtesting ES ...
3
votes
1answer
1k views

Drawbacks of Black-Scholes option pricing model

Will highly appreciate if anybody can provide logical financial proof why the Black-Scholes option pricing model overestimates the value for long-term options as described in this paper "Warren ...
1
vote
0answers
243 views

Fixed Income Var calculation

I'm trying to calculate var for a portfolio of fixed income securities. I initially want to just calculate undiversified VaR for each instrument. I'm doing the following for each instrument Take ...
1
vote
1answer
166 views

A Question from “Mathematical Methods for Financial Markets” Chapter 2

Exercise 2.3.1.5: The payoff of a power option is $h(S_T)$, where the function h is given by $h(x) = x^\beta(x-K)^+$. Prove that the payoff can be written as the difference of European payoffs on the ...
3
votes
2answers
187 views

Random Brownian Simulation Startling Results

I was playing around in Excel the other day, simulating possible equity curve/P&L paths for a simple game I designed. The game is really trying to find an optimal risk managment strategy. I start ...
4
votes
3answers
269 views

selecting test data for neural networks

I have been working on a neural network based on certain technical indicators. As people familiar with neural networks would know after developing a hypothesis, the developer is also supposed to ...
5
votes
1answer
162 views

unique equivalent martingale measure in incomplete markets

Do you have any idea about how we can prove, and under which conditions, that an equivalent martingale measure (EMM) in an incomplete market is unique? The assumptions we have made are: 1) that the ...
1
vote
0answers
228 views

Yahoo Finance API

Have been looking for ways to down load stock price data using Yahoo Finance on Chinese Stocks. Symbol that ends with .SS = stock listed in Shanghai, .zz = stock listed in Shenzhen This link ...
2
votes
1answer
964 views

How to prove price of Asian option under geometric averaging is cheaper than a European call?

This was an exam question at Cambridge University. Let $S_t = S_0\exp(\sigma W_t + (r-\dfrac{1}{2}\sigma^2)$ and a bank account returns a continuously-compounded rate of interest $r$. Consider the ...
2
votes
2answers
128 views

ITM Puts under negatively skewed return distribution (volatility skew)

I read Hull (2009) on implied volatilies. I understand that (given a negatively skewed return distribution) an OTM-Put is more worth than under a normal distribution and that a OTM-Call is worth less ...
7
votes
2answers
273 views

Estimation of Empirical Expected Shortfall of a heavy tailed distribution

Assume that you have a portfolio for which you have estimated a parametric model to the underlying instruments, but the distribution of the portfolio as a whole is too complicated to compute ...
2
votes
2answers
272 views

List of 2008 NACE Rev 2 codes

Am looking for a simple list of the NACE 2008 rev 2 codes (The European classifications for economic sectors). The official publication is here, but is there an easily accessible list of the actual ...
2
votes
1answer
439 views

Open source equity/bond index data

I have been using the tseries package of R (get.hist.quote) to get historical quotes for various indices from yahoo finance. I am interested in DAX, VDAX, EB.REXX ...
0
votes
0answers
66 views

Need 24 hours a day real time/slightly delayed prices of futures contracts on US and non-US [duplicate]

I'm looking for a data provider to get real-time/slightly delayed data for futures contracts on US and non-US indexes 24 hours a day. Can you recommend anything for a person, who can't afford ...
1
vote
1answer
59 views

Scaling Intervals in Diffusion Process

I know this is a very elementary question but... when modeling asset prices through a stochastic process as in $$dS_t=S_t μ dt+S_t σdW_t,$$ where the following is a wiener process ...
2
votes
1answer
565 views

EuroDollar vs FRA

I am not quite clear about this. When people mention Eurodollar are they mean Eurodollar Futures? One of the difference between Eurodollar and Forward Rate Agreement(FRA) is basically difference ...
0
votes
0answers
37 views

Fair interest of mortgages

May be a stupid question, but I don't know the answer. Suppose someone asking me money for a mortgage for buying something. If I know the chance (mean value of payments and variance of payments) that ...
-1
votes
2answers
1k views

Bloomberg interest rate interpolation

I have question about the linear interpolation of interest rates. I am unable to reconcile the Bloomberg methodology for calculating risk-free rate between maturities. In theory it is a straight-line ...
4
votes
2answers
1k views

How to use Merton model to calculate default probability with monthly stock prices?

I want to calculate the estimated default probability with only given data the monthly returns for the last 20 years, the risk-free rate ($R_f$), equity value (EV) and the face value of debt ($D$). My ...
4
votes
0answers
258 views

Optimization: Factor model versus asset-by-asset model

In portfolio management one often has to solve problems of the quadratic form $$ w^T \Sigma w + w^T c \rightarrow Min $$ with portfolio weights $w \in \mathbb{R}^N$ a constant $c \in \mathbb{R}^N$ and ...
5
votes
3answers
931 views

What is Quantitative Investing and how does it differ from Quantitative Trading?

I have worked in quantitative trading for a couple of years so I know what that space is about. I am curious to know what quantitative investing is all about. Based on what I have read and talked to ...
1
vote
1answer
40 views

What does “primary calendar” mean?

I was reading the 2013 research rankings article on Institutional Investor and came across the following quote: "We do not expect spread widening in most markets, and we expect the primary calendar to ...
1
vote
2answers
502 views

VIX intraday data

Where I can high-frequency intraday data on VIX? Is it available on Bloomberg Terminals? I see many questions posted on Quant.stackexechange about VIX options therefore I am sure someone knows where I ...
2
votes
1answer
1k views

How do Trade-At-Settlement orders work?

Can anyone explain how Trade-At-Settlement (TAS) order on futures market actually works? I have heard that it is guaranteed execution at the settlement price (or with some offset). How can it be ...
3
votes
0answers
173 views

Time series (stochastic process) estimating parameters using characteristic function

I have a time series of assets ${A_1, A_2, ..., A_n}$, which is described by a sophisticated distribution having the following characteristic function: $\phi(u; t;\theta)$, where $\theta$ is a vector ...
5
votes
1answer
148 views

Arbitrage with freshly issued bonds

I recently heard someone mention an arbitrage strategy involving selling freshly issued bonds and buying the "old batch" as it has shown that the liquidity in the fresh batch motivates/drives up these ...
3
votes
1answer
155 views

Finite difference methods

I am simulating the price of a basket option with the help of equations from the report ...
2
votes
0answers
53 views

Recreate Positions after downtime. Suggestions requested

We are trying to be able to get back to the Position state when our software goes down unplanned during the day. So far it seems we can get all our bought and sold quantity based on execution log we ...
3
votes
0answers
120 views

default probability

Suppose the hazard rate is $\lambda$ the default probability density function follow exponential $f(t) = \lambda e^{-\lambda t}$ and cumulative probability function is $F(t) = 1 - e^{-\lambda t}$ ...
7
votes
3answers
1k views

How is the default probability implied from market implied CDS spreads for CVA/DVA calculation?

From point 38 on P.17 the default probability can be implied from market implied CDS spreads. "Macro Surface" method is mentioned, but I cannot get any clue of what it is? Where do I get the acedemic ...
1
vote
1answer
482 views

What are the math topics involved in FRM 1

Is there a way to get the math curriculum for FRM level 1 without purchasing the Exam? I wish to take a look at the math topics and see if I have any chance of cracking it. But I could not find an ...
8
votes
1answer
282 views

Portfolios from Sorts

Some time ago Almgren and Chriss proposed a method for portfolio optimization based on sorting criteria such as $r_1 > r_2 >... > r_N$ instead of explicit expected returns: see portfolios ...
1
vote
1answer
124 views

what is General IB2 Restriction in Basel II credit risk model

I was reading Basel II wiki page, it says: The first pillar The first pillar deals with maintenance of regulatory capital calculated for three major components of risk that a bank faces: ...
3
votes
0answers
208 views

Fitting Student t-distributions to log-returns

It seems that some tail-risk centric groups are bent on using Paretian and t-distributions to account for tail risk when fitting log-returns. It has been observed, however, that with and without ...
1
vote
2answers
243 views

Market overview trading platforms (with OTC)

I am searching for a trading platform for a client. It must include control of trading limits (per user and with regard to the clients portfolio), connection to Bloomberg data, ability to value ...
5
votes
1answer
392 views

Optimal trading strategy in toy world of simple Hidden Markov model with Gaussians

I want to solve the following optimization problem: What is the optimal general trading strategy (in the sense of the highest Sharpe ratio) on a time series which is the result of a Hidden Markov ...
1
vote
1answer
194 views

Examples of non-increasing variance of a time homogeneous Markovian process

This is an edit to the previous question, on stationary process, which was answered by Richard below. Let $x_t$ be a zero mean, time homogeneous Markovian process over time $t$ starting from ...
3
votes
1answer
228 views

Evaluation volatility with Garch model

I want to forecast the volatility (with Garch) of a canadian stock in 5 months with daily returns. How many data do I have to collect ? Thanks.

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