1
vote
3answers
36 views

What is the theoretical expected growth in an option's value over a given period of time?

Say an option with five years left before maturity has a value of $x$ today. Theoretically, under the B/S framework, what is its expected value in five years (upon maturity)? Do we assume it will ...
0
votes
0answers
8 views

Market with exponentially distributed random variable

Consider a market consisting of a stock with $S_0^1=1$ and $\log(S_1^1)=Z$, where $Z$ is an exponentially distributed random variable. $S_0^1$ denoted the prices of the stock $1$ at time $t=0$ and ...
1
vote
1answer
15 views

Ito Formula for Stochastic Integral

Suppose I have $$dS_t = \mu(S_t,t) dt + \sigma(S_t,t)dW_t$$ What would be the process satisfying the following process of $y_t$? $$y_t = \int_0^t S_u du + \int_0^t S_u dW_u$$ I'm not quite sure ...
0
votes
2answers
96 views

Stochastic process theory question

*S follows a process $dS= mSdt + oSdz$ where m and o are constant. What is the probability followed by $ Y=(Se)^{(r-t)} $. If S follows a process $ dS= k (b-S) dt + oSdz $ where k, b, o are ...
0
votes
1answer
19 views

What is the formula for variance in estimating exchange rate?

I was watching this Youtube Video. He used a exchange rates of Euro to Dollar for a few days and apply GARCH(1,1) to get the predicted price. However, I didnt understand variance that he calculates ...
2
votes
3answers
106 views

Market returns below risk free rate

Let's say I'm using CAPM to estimate the cost of equity, so I need expected market returns for the calculations. The standard approach is simply to compute arithmetic mean of an index (or rather its ...
0
votes
1answer
22 views

Bid/ask and volumes from ITCH feed, what is the most efficient way to do this?

I am very green when it comes to programming. I am doing a market microstructure study where I need to investigate how certain stock characteristics affect their liquidity. I have Nasdaq OMX ITCH Feed ...
0
votes
0answers
9 views

How to identify forex arbitrage opportunity?

How you come up with an arbitrage strategy for foreign exchange? For example $$\begin{array}{c|c|c|} \text{Dealer A} & \text{buy} & \text{sell} \\ \hline \text{Euro} & \text{USD }1.1018 ...
0
votes
1answer
22 views

Where can I find free single-day charts for the S&P 500?

I'm trying to find free historical charts of the S&P 500. I don't need the raw data, I just need to access a simple chart showing the movement of the index over the course of the day (for an ...
0
votes
0answers
4 views
0
votes
1answer
75 views

FIX latency and clock syncronization

We are trying to see latency from our server to different LPs . For that we are checking sendingtime value (from them) and current clock in our server. What we saw is difference of +-20ms between ...
0
votes
1answer
24 views

residual correlation remains after seasonal lag added

I'm attempting to model operating margins and a time plot indicated that the series may follow an autoregressive process. I initially fitted data to an AR(1) model and it appeared that residual ...
0
votes
2answers
44 views

Where can I find best end of day option data?

Looking for accurate end of day option data. Preferably with Greeks. Any recommendations?
0
votes
1answer
16 views

method/technique for finding arbitrage

I was able to solve this problem and find the arbitrage but only after spending a long time on it and trying out different possibilites, is there a method or technique that can help me find the ...
2
votes
1answer
21 views

dynamic Markowitz portfolio

Let's take 4 assets, whose values are known during a period of time of 2 years. Then I calculate the expected returns for each of these 4 assets thanks to these 2 years - historical data. I deduce the ...
1
vote
1answer
384 views

Convexity adjustment

I have a problem with the underlying assumption in the future/forward convexity adjustment. If I understand correctly, the assumption is, if I am long ED, I earn money when rates go down and invest ...
3
votes
2answers
657 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 ...
0
votes
0answers
17 views

Range accruals - distribution of $n/m$

Say we are pricing a range accrual that pays $4\% * n/m$, where $n =$ # days in the period where libor $>3\%$, and $m =$ total # days in the period. Assume that we have a flat forward curve at ...
2
votes
1answer
77 views

Why is convexity adjustment applied to swap price for a nonstandard swap, in simple terms?

Martinelli et al. show that when the 3-month Libor is replaced by the 3-month Libor forward rates (which are obtained from the spot zero-coupon yield) then the swap price depends only on zero-coupon ...
2
votes
2answers
157 views

Forecast of volatility

What are the well known methods for forecasting (daily - weekly - monthly) volatility of a stock price? How about a bond price? Let's say I have in my disposition the price time series at a very high ...
0
votes
0answers
24 views

Delta hedge compound option

Delta hedge portfolio should be adjusted from one period to the other, as the ratio changes. How does it work with compound options though? Suppose, I have a put on a call option on a stock, in 2 time ...
3
votes
0answers
13 views

Equivalency of FX forwards and FX fixed for fixed swaps? Are they still the same under multiple curves environment?

I am encountering two approaches for valuation of FX swaps (fixed for fixed, e.g. fixed USD payments for fixed EUR payments) which seem to result into different values although in theory they should ...
0
votes
1answer
21 views

Is an FX forward with delayed settlement still a derivative?

As an example: Trade date: 1/1/16 Maturity date: 2/29/16 Settlement (exchange of currencies) 3/31/16 Is the instrument between 2/29 and 3/31 still deemed a forward? The forward rate is determined so ...
2
votes
1answer
53 views

What is the tail index for NIG and/or VG?

...as a function of NIG (Normal Inverse Gaussian) or VG (Variance Gamma) parameters, obviously. I've read that the NIG $\alpha$ is related to the $\alpha$-stable tail parameter, which conversely maps ...
0
votes
1answer
19 views

Bank discount yield and money market yield

I have a question regarding Bank Discount Yield and Money Market Yield for US TBill. Some books mentioned that ...
9
votes
3answers
244 views

Is there a website that lists replication code of financial papers?

There are lot of questions on this website related to the replication of the empirical part of financial papers. I noticed that some (honest) authors provide on their personal website some ...
1
vote
1answer
44 views

Appropriate measure of risk if return are not normally distributed

Normally standard deviation of an assets is used as an proxy for the risk in the financial market. In reality distribution of return is more peaked at the center and higher mass in the tail as ...
0
votes
1answer
30 views

Why QuantLib assumes zero rates to discount factor is continuous?

https://github.com/lballabio/QuantLib/blob/0ec43027834220baf0a554d68de79a159a2c5489/ql/termstructures/yield/zeroyieldstructure.hpp ...
1
vote
1answer
37 views

Calculating Portfolio Returns Across Sectors

I have a table of asset (mutual fund) returns and the percentage that each asset is in a particular stock sector: ...
1
vote
2answers
65 views

Black Scholes Constant Implied Volatility

I hope someone can clarify my ideas about the constant implied volatility in the classical Black Scholes framework. As well known, market practitioners quote the prices of vanilla call and put ...
0
votes
0answers
7 views

Is order flow imbalance more or less correlated with price movements at slower frequency?

Suppose I define order flow imbalance as volume(aggress buy)/volume(aggress sell), or some variant of that. Is this variable more, or less, correlated with price movements when I sample less ...
2
votes
3answers
4k views

Interpretation of Macaulay Duration

I am having a difficulty conceptualizing the meaning of "Macaulay duration" - I want to note I completely understand the math, this isn't the issue. Modified duration & Efficitive Duration make ...
3
votes
2answers
342 views

Places to make quant code/tools publicly avaliable

Over the years I have developed several tools - including pricing, optimization and calibration tools - most in VBA, C# and C++ I would like to make them publicly avaliable. Aside from putting up my ...
0
votes
1answer
46 views

Which studies should be replicated?

The ReplicationWiki provides information on replications and the availability of replication material for published empirical studies. It can be used for research, to build on previous studies, and ...
0
votes
2answers
98 views

Delta Hedging for 2 Factor Models

If the value of an option at Maturity is what is the off-setting position you take for X and Y, if you are i)Long Call of the option ii)Short Call of the option iii)Long Put of the option iv)Short ...
1
vote
0answers
12 views

Analytical Bond Price under Rendlemen-Bartter?

Assuming the short rate $r_t$ follows the risk-neutral (so $W_t$ is a $Q$-Brownian motion) process $$ dr_t = ar_t dt + \sigma r_t dW_t, $$ does anyone know of an analytical bond price formula? We ...
168
votes
24answers
109k views

What data sources are available online?

What sources of financial and economic data are available online? Which ones are free or cheap? What has your experience been like with these data sources?
9
votes
1answer
2k views

How do I reproduce the cross-sectional regression in “Intraday Patterns in the Cross-section of Stock Returns”?

Recently I was trying to reproduce the results of "Intraday Patterns in the Cross-section of Stock Returns" (published in the Journal of Finance 2010). The authors used cross-sectional regression to ...
3
votes
2answers
39 views

Difference in implied volatility calculation

I've been using vollib to calculate IV, but my answers have been different by tenths from other sources like NASDAQ and Yahoo. The answers range +- 0.5, sometimes even more. The inputs are: $S$ ...
2
votes
2answers
407 views

Key Rate Duration for MBSs greater than Key Rate Tenor

Key Rate Durations (KRD) are essentially some fixed income instrument's price sensitivity to a non-parallel shift in interest rates (i.e., a shift at the "Key" Rate). For example, a 10-year bond's ...
3
votes
1answer
116 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
1answer
20 views

Binomial Model, Number of nodes from $t = 0$ to $t = n$

How many paths are there in a binomial model from time $t = 0$ to time $t = n$? How many nodes (states) are there? Intutively it seems that there are $2^n$ paths and $2n - 1$ nodes. But I am not sure ...
4
votes
1answer
57 views

Realized variance in SVJJ (Heston with jumps) model

I am working with the stochastic volatility model with jumps in both the price and volatility dynamics, ie. the risk neutral dynamics are of the form: $\mathrm{d}V_t = \kappa(\theta - V_t)\mathrm{d}t ...
-1
votes
0answers
16 views

US Bond vs Russian Bond [on hold]

From a neutral point of view : Do you prefer investion in a US Bond or Russian Bond ? I would say US Bond !! But is there any strong argument that permits us to answer ?!
1
vote
0answers
13 views

Are there alternatives to the Box-Tiao decomposition in identifying mean reverting portfolios?

As documented in this paper, Box-Tiao decomposition (a way to decompose multiple time series into components with different speeds of mean reversion) can be used to identify mean reverting portfolios. ...
3
votes
1answer
126 views

Hedging - calculating option prices using implied volatility surface

To hedge a strategy is it accurate "enough" to price an option using an implied vol curve vs moneyness (strike/spot) assuming sticky delta? The moneyness can be read off the chart, its corresponding ...
0
votes
0answers
18 views

Which obligation choose [on hold]

I have 6 different obligations: A: coupon 4% Maturity 10 years. B:coupon 4% Maturity 15 years. C:coupon 2% Maturity 10 years. D:coupon 2% Maturity 15 years. E:coupon 0% Maturity 10 years. ...
1
vote
1answer
83 views

Normalizing SPY ETF time series data with its sector ETFs?

I am looking to compare the returns of a sector rotation strategy between the various SPDR sector ETFs XLY, XLP, XLE, XLF, XLV, XLI, XLB, XLK, XLU vs. ...
0
votes
0answers
23 views

Historical volatility on bloomberg API

Is there a way to obtain the historical volatility of a stock from the bloomberg API? I would be looking for the data in the HVT table. Actually 3-months historical volatility from now would be ...
1
vote
1answer
80 views

Complicated American style option contract with numerous non-standard features (simultanous exercise, additional premium, etc.)

I want to value the following contract for times $0<t<T$, i.e. determine $V(t,\cdot)$ where $\cdot$ refers to all other dependences (strike, spot, volatility, etc.). The contract is long and ...

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