1
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1answer
202 views

Lease Accounting / FX Embedded Derivatives: How to Value Floor / Cap Optionality Features

Suppose you have a lease agreement where the functional/domestic currency is RUB and the currency on which the lease is written USD. Let $S$ be the USD/RUB exchange rate (# of rubles per 1 dollar). ...
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1answer
81 views

On the existence of a perfect market with no arbitrage that contains a forward contract

Consider the following theorem from p. 31 of Steven Roman's "Introduction to the Mathematics of Finance Arbitrage and Option Pricing" (Undergraduate Texts in Mathematics, 2012), giving the forward ...
1
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1answer
131 views

Historical Daily NAV for Closed End Funds

Does anyone know where to get historical, daily net asset values for closed end funds from the date of inception to the present? Yahoo finance has daily opening, high, low, closing values, but no NAV ...
1
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2answers
295 views

How important is the limit order book?

I'm trying to understand how important the limit order today for NYSE, NASDAQ, Euronext and LSE. For example, when we talk about the volume traded during the day, what share of that volume has been ...
1
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1answer
436 views
1
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2answers
149 views

Pricing of Binary or Digital Options or more generally options with discontinuous payoffs using PDEs

I am trying to find references (books, papers, etc.) for calculating $\mathbb E f(X_T)$, where $X_T$ is a diffusion and $f$ is a real function that is not continuous, by means of solving a PDE or ...
1
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2answers
151 views

How to adjust historical data highs/lows for splits and dividends?

When I download historical data from yahoo finance, only the closing price is adjusted for dividends/splits. Is there a way of figuring out the factor by which lets say the highs/lows have to be ...
1
vote
1answer
133 views

Are there industry standards form market data server and real time linux kernel?

I'm wondering if there is some standard in the industry about the version of the linux kernel of a computer to run a market data engine on it. (market data engine = connect to brokers, subscribe to ...
1
vote
1answer
188 views

Forward Curves and Par Yield Curves

I'm recently reading a research paper on the yield curve by Salomon brothers and in it it states that when the forward curve is above the par yield curve, it is seen as cheaper. If for example, the ...
1
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1answer
54 views

Desperate for help with simple derivative

Can someone help explain how differentiating the following with respect to $x$: $$ \frac{1}{2} \alpha \mathbf{x}^T \Sigma \mathbf{x} + (\mathbf{\mu} - R\mathbf{1})\mathbf{x} $$ Yields the following: ...
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2answers
150 views

OIS & LIBOR swap

Why do people use OIS and LIBOR swap spread to compare/value bonds/derivatives? Why not just use US treasury?
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1answer
161 views

Proving there exists no arbitrage opportunities given 3 states and 2 assets

Assume there are 3 states of the world: w1, w2, and w3. Assume there are two assets: a risk-free asset returning Rf in each state, and a risky asset with Return R1 in state w1, R2 in state w2, and R3 ...
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1answer
81 views

Delta-Gamma Neutral portfolio, derivation issue

Let $C$ be an option on an underlying $S$. I want to construct a portfolio $V$ using another asset $C_0$ such that the delta and the gamma of $V$ is the same as the delta/gamma of $C$, in order to ...
1
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1answer
111 views

Use of Black-Scholes Model on Guaranteed Fund Investment

I am stuck with a revision question at home on Black-Scholes pricing model. The question is on a fund manager selling one unit of the fund to a customer for $S(0)$ at time $0$ and then guaranteeing ...
1
vote
1answer
56 views

Share price of Precision Imaging Corporation of America on March 13, 1991

Where can I find the share price of Precision Imaging Corporation of America, Inc. on March 13, 1991? I realize the company no longer exists and the shares are now worthless but I would like to know ...
1
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2answers
243 views

Heston model with Jumps

I am a relative newbie in finance and dont know most things about quantitative finance and trying to learn stuff and working on the heston model for now. My question is this: Heston model can be used ...
1
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2answers
97 views

Numerical delta of Bond Options

I'm trying to calculate the delta for bond Call options. I'm using the vasicek model which gives the following solution for a Zero-coupon bond call option: $Z = N P(t,S) \Phi(d_1) - K P(t,T) \Phi(d_2)...
1
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1answer
234 views

Quantiles, Value-at-Risk and log normal random walks…

Sorry, that's probably quite a bunch of silly questions, but I just got lost a bit and need to dot all the i's and cross some t's :). Let's say we have a series of returns (like this one we may get ...
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1answer
59 views

When the two time series with different length, how could we analysis them with a bivariate GARCH model?

At this moment, i need to do the analysis of rouble/us dollars exchange rate and the stock market index in Russia, I prefer to do that in a multivariate GARCH model. However, I have a question about ...
1
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1answer
91 views

The importance of good optimizers in Portfolio Optimization

I work as a Quant for an Asset Management and Insurance company and have recently enrolled for Masters degree in Computer Science. I am thinking about investigating how important having a "good" ...
1
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1answer
192 views

Cash flow diagram, interest rate inflow series

I have a econ midterm coming up soon and stumbled upon this question. My approach is: 2C=800/(1.12^2)+1200/(1.12^6)=125.71 or C=1245.71/2=622.85 But I have a gut feeling this is wrong. I believe the ...
1
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1answer
200 views

Getting Parameter of Translated Gamma Distribution from Monte Carlo

Spin-off from here. (Edit) Main question: What do I do about a parameter whose suggested values range quite vastly? (Edit) Backstory: I am given data of loss values and the dates that correspond to ...
1
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1answer
56 views

Compute moments of aggregate loss using Monte Carlo

Spin-off from here. Richard referred to me an article that tells me how to get parameters of a translated gamma distribution to which I should consider fitting simulated aggregated loss values. The ...
1
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1answer
527 views

What is the proper discounting of PIK and non-compounding bullet loans?

This question pertains to two types of loans. Pay-in-kind (PIK) and bullet loans with quarterly payments. 1. PIK Loans A PIK loan is a loan where periodic interest is NOT paid, but added to the ...
1
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1answer
299 views

Get distribution for aggregate loss using Monte Carlo

I am given two data sets containing dates and losses (in some currency). Given a distribution for the amount of losses and an (a,b,0) distribution for frequency of losses, how can I use Monte Carlo ...
1
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1answer
80 views

Foreign exchange - Dealer spreads and order size

Is it true that in foreign exchange markets, dealer spreads are lower for smaller order and increases for larger orders? This seems counter-intuitive when compared to other markets where dealer ...
1
vote
1answer
32 views

convention in borrowing money in a multiperiod model

I have a question concerning the idea of consumption in multi period. The following is given $$C_1=W_0-xS_1+B$$ $$C_2=xS_2-BR$$ where $W_0$ is initial wealth $x$ is the weight on an asset with ...
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2answers
72 views

Cheapness indicator for Convertibles Bonds

What indicator (or combination of those) could be used to roughly estimate the cheapness of a convertible bonds ? Like the price/earning ratio for equities. Thanks, Max.
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1answer
330 views

SEC 13F Security List has incorrect CUSIP numbers?

I'm building database of 13F sec.gov forms with 13F security lists (http://www.sec.gov/divisions/investment/13flists.htm). Along with integrity checks. I implemented CUSIP digit check algorithm to ...
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1answer
117 views

Where to obtain Eurex level 2 historical order book data from?

What are some possible sources to obtain Eurex level 2 historical order book data from? Unfortunately I have only been able to find 1 source - namely Eurex itself, which charges 2000 Euro/month for ...
1
vote
1answer
311 views

Which sports are generally the best for trading on betting exchanges for a profit?

I am looking at trading bets on tennis, football and horse racing in particular as these appear to have the most liquidity. How much background research and how much trial and error is generally ...
1
vote
1answer
192 views

Implied Volatility Calculation for Deep In The Money Calls, Numerical Issues

I have two implementations for finding the implied volatility under Black-Scholes formula. One is bisection and the other is brent's method. (I know Newton-Raphson is popular due to speed and will ...
1
vote
2answers
242 views

Real-time market data from the exchanges: what should we be aware of?

We receive daily end-of-day data from a data vendor (i.e. not direct from an exchange) and are comfortable with this. We are now wanting to receive live data, and after a few enquiries we are feeling ...
1
vote
2answers
748 views

How to price an option on a dividend-paying stock using the binomial model?

This is actually an exercise from a course. But I don't completely understand the wording of the question. A stock is now trading at 100 dollars. Its price over the next 6 months evolves as a two ...
1
vote
2answers
139 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
1
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2answers
206 views

Feature Selection Effect on Deep Multi-Layer-Perceptron for Financial Applications

I am trying to build a machine learning system for financial price prediction. I am using a 3 layer MLP (a deep network) with 3 outputs (buy,hold,sell). I am using different features such as price ...
1
vote
1answer
378 views

Chart Correlation warnings

when I run chart.Correlation I get a series of warnings. I get the identical warnings with chart.Correlation(managers[,1:2],method="pearson") Here is a short sample: ...
1
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1answer
63 views

Risk free rate for Performance Analytics

In [R] one can pass either a vector or scalar as the risk free rate. What is better? If I pass a vector to (for example) chart.riskreturnscatter then the sharpe ratio lines disappear. ...
1
vote
1answer
831 views

Black Scholes formula with continuous dividend paying stock

I am reading the part of constructing B&S price for stock paying dividends. The simplest model used continuous yield dividend. But I can not see that rigorous in term of formulations. Firstly, ...
1
vote
2answers
61 views

I have some historical options data, and there are duplicates of some options, how to filter them

I have some historical EOD options data for 2013, and there are duplicates listed for same strikes/expirations. I was told that by the provider that this is due to "special one-time cash payout" for ...
1
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1answer
55 views

interbank market rates - missing data

I took EU market rates here: https://www.banque-france.fr/en/economics-statistics/rates/main-euro-area-interbank-market-rates.html As you can see (Eonia 05/13/1999 for example) there is non defined ...
1
vote
1answer
210 views

How to calculate the probability of 2 options ending in money with different expiration dates?

Lets say I make a trade that consists of buying one put and 2 calls of the same underlying but with different expiration dates and different strikes. Example trade: ...
1
vote
2answers
515 views

Using Technical Indicators for forecasting Financial time series using Machine learning models

Hi I am trying to use financial technical Indicators for forecasting, using machine learning models. The usual approach in time series cross validation is to use a moving window or growing window. ...
1
vote
1answer
179 views

Median value for geometric brownian motion simulation

I'm trying to simulate stock prices using GBM. I am using the following formula, and MATLAB function, to determine the stock prices: $\nu = \mu - \frac{\sigma^{2}}{2}$; $S = S0*\text{[ones(1,nsims); ...
1
vote
1answer
105 views

To lump or not to lump

Suppose I have a very simple asset whose price takes only three possible values: $X_t\in \{-1,0,1\}$. I also got some discrete time series $X = (X_t)_{t\geq 0}$ and I would like to come up with a ...
1
vote
2answers
776 views

Difference between CAPM and mean variance optimization

Is the mean variance optimization the same thing as the capital asset pricing model? Or is the mean variance only a part of CAPM?
1
vote
1answer
143 views

Simulate from time-dependent copula in MatLab using COPULARND

I would like to simulate from a t-copula with time-dependent correlation matrices. Say I have a series of 2000 correlation matrices (obtained from a copula-DCC model for data consisting of 2000 ...
1
vote
1answer
447 views

negative discount and zero rate on swap bootstraping

Hi I am writing a program to Bootstrap a EURO zero swap-curve for tenor 3M and 6M with given bid and ask. When I run the program , I get a negative zero rate and discount factor from 5Y till 30Y for ...
1
vote
1answer
120 views

ZSpread in multiple curve framework

how do I calculate ZSpread for a govt. bond in a multiple curve framework? I have not come across the exact details anywhere so I want to verify if I'm right. Below is my understanding, please correct ...
1
vote
2answers
187 views

How to price an European call on zero-coupon from the yield curve?

It is known that the price of an European call of maturity $T^*$ on zero-coupon of maturity $T$ is given by $$p(0,T)= B(0,T^*)\mathbb E ^{\mathbb Q_{T^*}}\left[ (B(T^*,T)-K)^+\right]$$ where $B(0,T)...

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