2
votes
3answers
1k views

Understanding the concept of Martingale pricing

I am a bit confused about how to formulate a problem where I have to price an option on a stock. Many papers say that stock prices are best modeled using a geometric Brownian motion (GBM), and I ...
1
vote
1answer
673 views

How to explain the path dependency in binomial tree model to price options?

I'm new to quantitative finance, so I'm confused with the so-called path dependency in binomial tree model. Originally I thought the path dependency exists because in binomial tree model, we will ...
4
votes
0answers
99 views

Dividend Index Futures

My question is dealing with the proportionality between Dividend Index Futures prices and Index prices. Indeed, we in the past we used to do a simple regression between these variables and use the ...
4
votes
1answer
225 views

How to synthesize a futures spread option?

Is it possible to synthesize a futures spread option using only the options on the spread's underlyings? If so, how? If not, is there another way? As an example, please show me how to synthesize ...
1
vote
1answer
116 views

Analysing FX Data

When analysing currencies, the data always comes in pairs so it is hard to normalise a multivariate time series of data e.g. if I have GBPvsUSD, EURvsUSD and CADvsUSD then changes in the US economy ...
4
votes
2answers
715 views

what's the difference between Peak-Load pricing and price discrimination?

i just don't get it. Peak-load pricing wiki page gives example: in public goods such as public urban transportation, where day demand (peak period) is usually much higher than night demand ...
2
votes
1answer
376 views

Interpretation of cross-correlation matrix when one sample distribution is not normal

I am looking at the variance of (log) price changes in securities vs. the amount of social media discussion about them. I'm not interested in building a model. I'm just looking to see if there is a ...
3
votes
1answer
256 views

Risk and Reward in practice

My question is a bit philosophical. As a risk manager I often have to tell portfolio managers to reduce risk (e.g. due to VaR limits or exposure limits). Then usually the discussion arises that if ...
1
vote
2answers
183 views

moody's credit ratings for senior unsecured bonds

Can 2 senior unsecured bonds from the same obligor have different moody's credit ratings? Or do they both have to have the same rating because they are in the same capital structure? Thanks
0
votes
0answers
218 views

Dirty price of US T bill

I need to calculate the dirty price of a US T bond given the below details: Assume the coupons on a U.S. Treasury bond are paid on January 1st and July 1st. The bond has a par of $1,000 and pays a ...
0
votes
1answer
154 views

Parameters for numerically fitting t-distribution to log-returns

I am fitting the t-distribution to log-returns numerically (not using R, MATLAB, Stata, etc.), but rather using general programming. Assuming the log-return values are $r_t$, and the $t$-variates are ...
0
votes
1answer
1k views

converting US tickers into Reuters RIC [duplicate]

I have a large list of US equity tickers such as: "GIRO", "ITUB", "BITA" etc and I would like to convert them into their corresponding RIC codes. Do you know how can I do it? I have access to ...
0
votes
1answer
309 views

the law of comparative advantage and exchange rate

I'm reading Steven N. S. Cheung 's "Economic Explanation" (2001). In vol 2 ch 2 section 2, he mentions Comparative Cost, or "the law of comparative advantage". after quoting the britain/spain ...
-1
votes
1answer
193 views

interpreting huge jumps

i have been working on this trading system that uses digital filters to generate signals. the system works fine during normal market hours. but it goes haywire when there is news release. i have ...
2
votes
1answer
127 views

How to calculate implied vol for next trading day?

We can seem to get implied vol for a period from now to option expiration, but does anything tell us implied vol for the next trading day ? Like if fomc is tomorrow the next day implied vol would be ...
0
votes
0answers
436 views

R or Matlab code for Multi-Barrier-Options (3 or more underlyings)

I am looking for R or Matlab code examples of multi-barrier-options (or multi-barrier reverse convertibles) with at least 3 underlyings. Do you have such code or can you point me to a place where I ...
3
votes
2answers
187 views

Mitigating gateway delay

A trading system has $n$ colocated uplinks to TCP order entry gateways $g_1, \dots, g_n$ on a given exchange. Each gateway $g_i$ has a different order entry delay function $d_i(t)$ as a function of ...
6
votes
1answer
492 views

Bond Convexity Treasuries Futures

I know long duration bonds, on a a single bond basis, exhibit convexity however do treasury futures prices and the 10 yr yield exhibit the same property? Below is a plot of continious ten year ...
0
votes
0answers
120 views

The basic principle of the construction a portfolio of options

I have a question like this. Assume today's date is 9 January 2016 and XYZ's share price stands at $10. On 8 November 2016 there is a Presidential election and you believe that depending on who is ...
4
votes
0answers
307 views

pairs trading detrend the spread

I have calculated a hedge ratio that generates a mean reverting spread (stationary, without trends) 60-70% of the time. But the remaining 30% of the time, it seems like there is a trend in the spread. ...
3
votes
1answer
929 views

How to sum interest rate curves in QuantLib

C++ code taken from Bonds.cpp and slightly amended: ...
4
votes
0answers
96 views

LSM American Option pricing with dividends

Under the Longstaff-Schwartz LSM method for an American call, how should I account for a continuous dividend paying stock? I assume that it'll needs to be accounted for when simulating the underlying ...
7
votes
1answer
592 views

How to compute the Radon-Nikodym derivative?

Suppose $B(t)$ is a standard Brownian motion, and $B_{1}(t)$ is given by $dB_{1}(t)=\mu dt+dB(t)$. Suppose $P$ is the Wiener measure induced by $B(t)$ on the $C[0,\infty)$, and $P_{1}$ is the Law ...
2
votes
1answer
135 views

What happens at market open when there is a reverse spread during preopen?

During pre-open When checking the depth of one particularly bullish stock I am following (NZE:XRO went up 200% this year and 12% yesterday) I saw that the BUYs were much higher than the ASKs by about ...
4
votes
5answers
1k views

Consensus on Cauchy distribution for stock prices

What is the general consensus for using a Cauchy distribution to model stock prices? I can't find much after researching online and wonder if it has been tried and discarded. My motivation is to find ...
0
votes
1answer
207 views

Quantitative finance mentality for success [closed]

I have a strong statistical background (particularly in Time Series analysis) and previously have spent a lot of time modelling sports, Baseball in particular. After reading "Analysis of Financial ...
5
votes
1answer
175 views

What is the stochastic differential of a general semimartingale?

By using the canonical representation of a semimartingale in Eberlein, Glau and Papapantoleon's "Analysis of Fourier Transform Valuation Formulas and Applications", on page 3: $$H = B + H^c + h(x) ...
1
vote
1answer
370 views

Risks of issuing an Autocallable Note

Let's say that I'm issuing an Autocallable Note with the following features: Underlying: FTSE 100 Autocall Observation Frequency: Annual Observation Autocall Level: 100% of Initial Level of FTSE ...
0
votes
1answer
215 views

Is the risk-reward ratio considered in Quantitative Finance?

Many discretionary traders swear by risk-reward ratio, as in "The minimum risk-reward ratio for a Forex trade is 1:2." Do quantative traders use risk-to-reward ratio as well? If so, how do you ...
1
vote
2answers
185 views

How to value VIX Option?

Could someone tell me a common method for pricing VIX Options please? Do I need to use a Stochastic Vol Model? Or Local Vol Model is suitable as well? Should the model be modelling S&P 500 and ...
2
votes
0answers
222 views

How to properly take averages to reduce data in regression/panel data analysis

I'm trying to do a regression on my panel data. Say I have T=3500 days of data and N=125 firms. Since Matlab get's major memory issues (which I try to prevent by the usual solutions as seen on the ...
3
votes
1answer
211 views

Trouble arriving at Black-Scholes Formula

I am attempting to arrive at the Black-Scholes formula for my own understanding. I can accept one can use the risk-free distribution & rate, so I am attempting to use the distrution to arrive at ...
0
votes
0answers
65 views

Why does graphic of log first difference of renminbi look similar to hkd?

This is CNY to US$: This is HKD to US$: Below are the log of the first difference of both graphs above: You can see that apparent similarity on the middle of graph. I thought that they were ...
0
votes
1answer
408 views

Risk-free investment strategy for european call and put option

I have some trouble solving the following question: We have an european call and put option (with the same maturity date $T$ en strike $E=10$). The stock price now is $S=11$ and we use a continuous ...
14
votes
0answers
3k views

Algorithm to fit AR(1)/GARCH(1,1) model of log-returns

I am fitting numerically an AR(1)/GARCH(1,1) process to index and stock log-returns, $r_t=\log(P_t/P_{t-1})$, where $P_t$ is the price at time $t$, and thus far am not clear on where the observed log ...
1
vote
0answers
288 views

For pricing, what types of Exotic Options are suitable using Local Volatility Model / Stochastic Volatility Model?

I understand that Stochastic Vol Models should be used when Exotic Option payoff is Volatility dependent (such as Variance Swaps and Volatility Swaps). Stochastic Vol Models should also be used when ...
2
votes
2answers
514 views

Black-Scholes: Why the focus on volatility?

We know Black-Scholes is an imperfect model for options pricing. Why is so much of the analysis of its defects focused on implied volatility? The fact that IV varies for the same stock at the same ...
0
votes
1answer
86 views

Implementing Orders with Interval Estimates

There's a better chance that stock price reaches an interval, say between \$16.91 and \$16.97, then a single price, say \$16.95. Hence, I generate an interval for a target price, instead of a single ...
1
vote
0answers
302 views

pairs trading or long short strategy given volatility of the stocks

Suppose I have 2 stocks and the only thing I know about them is their volatility and that they cointegrate. Let's say vol of stock A is 25% and B is 20%. Will I be able to find a hedge ratio only ...
10
votes
1answer
1k views

Intuitive explanation of the Hansen-Jagannathan bound

The Hansen-Jagannathan bound states that the maximum Sharpe ratio of a portfolio can't exceed the ratio of the standard deviation of a stochastic discount factor to its mean. I more or less understand ...
-1
votes
1answer
105 views

Rate of Return Required on Buying Stocks with Loan

A bank gives a loan $L$ for $m$ months and the monthly interest rate is $i$. The bank requires monthly installments - which I calculate is $I = \frac{L}{m} + Li$. I use this loan to buy ...
0
votes
1answer
241 views

How to construct the binomial model for European option?

The annual interest rate is 5.3% and the annualized volatility of a non-dividend paying stock over the next six months will be 12.5% (annualized). i) Construct binomial trees of 5, 10 and 30 periods ...
2
votes
1answer
3k views

IMM rolls: Are there special business day conventions?

If a trade (lets say for example a 'simple' interest rate swap) is using IMM rolls (so the interest calculation periods start and end on IMM Wed dates), are there particular/special business day ...
4
votes
1answer
108 views

tail correlation during crisis

I am seeking a recommendation for an empirical paper on increased correlations of returns during the 2008 financial crisis, or 'tail correlation' during the crisis, if that is different, or whatever ...
0
votes
1answer
985 views

Relationship in Order Book between S&P500 and S&P500 Futures Contracts [duplicate]

What is the relationship between E-mini SPX futures and the SPX index. Besides the obvious, one is cash the other is a futures product. How does buying/selling in one product influence the other. If ...
0
votes
1answer
144 views

Difference between Ibovespa full and mini futures contract

What is the difference between the following two Brazilian futures contracts: The Ibovespa Futures Contract The Mini Ibovespa Futures Contract As far as I can tell, both are priced in Brazilian ...
24
votes
5answers
4k views

Machine Learning vs Regression and/or Why still use the latter?

I come from a different field (Machine learning/AI/data science), but aim to ask a philosophical question with the utmost respect: Why do quantitative financial analysts (analysts/traders/etc.) prefer ...
0
votes
4answers
1k views

compute sharpe ratio for options?

Calculating sharpe ratio for shares is a straight forward task: (average returns - risk free ) / standard deviation. However i remain baffled as to how to tackle the task for options, can someone ...
3
votes
0answers
173 views

Credit Rating vs Bond Yield

I am looking for some references on quantifying the dependence between credit rating and bond yield. I have some data (found some Bloomberg indices which give average yield based on credit rating), ...
0
votes
1answer
874 views

Determine state price vectors?

I have 3 states with two assets, stocks and bonds. The bond has a payoff of 1 in every state of the world. And the stock has a current price of $S_0 = 100$ and ...

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