1
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1answer
164 views

Long Forward Rate Agreement, short Eurodollar futures

For this question If you are long a FRA and short a ED future with the same fixing dates, do you have positive convexity or negative convexity? The answer is positive convexity, because a ...
1
vote
1answer
67 views

Prove $E_{\mathbb Q}[X_t | \mathscr F_u] = X_u$ given $Y_t$ is a martingale

We are given a filtered probability space $(\Omega, \mathscr{F}, \{\mathscr{F}_t\}_{t \in [0,T]}, \mathbb{P})$, where $\{\mathscr{F}_t\}_{t \in [0,T]}$ is the filtration generated by standard $\mathbb ...
1
vote
1answer
85 views

Prove uniqueness, and prove $Y_t$ is a martingale by considering $dZ_t$ and $dL_t$

Suppose we are given a filtered probability space $(\Omega, \mathscr{F}, \{\mathscr{F}_t\}_{t \in [0,T]}, \mathbb{P})$, where $\{\mathscr{F}_t\}_{t \in [0,T]}$ is the filtration generated by standard ...
1
vote
0answers
56 views

Portfolio Optimization with equal weight for assets selected

I have a data frame of bets, with 1 being a win and 0 being a loss. These bets are correlated so I cannot just pick the highest winning percentage. Goal is to get 2 optimizations, 1 for max sharpe ...
1
vote
2answers
105 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 ...
1
vote
1answer
72 views

Implied volatility as price transform

Implied volatility The way I understand it, traders often think of implied volatility as a transformed price. So in a way, the Black Scholes model is considered a 'model-free' blackbox that takes a ...
1
vote
1answer
46 views

What is wrong in my non-linear estimation sample code?

I am trying to reproduce the code and plot you see here on pages 8,9 and 10 which was coded in MATLAB, but I'd like to convert it to R code. I believe I converted the MATLAB code below to R syntax ...
1
vote
1answer
281 views

Is there a good backtesting package in R?

My model exports a vector that have for each day b-buy s-sell or h- hold it's look like this: sig [1] b b s s b b b s s b s b s s b s b s s s s b b s s b b b b b b s b b b b b b b I want to ...
1
vote
1answer
137 views

How to compute the volatility for the Merton's Model for Private firm?

After one day of research i did not figured how to compute the input volatility for PRIVATE COMPANY in order to calculate the PD. My goal is to compute the PD of each of my company in my portfolio, ...
1
vote
1answer
192 views

Understanding how to calculate Accrued Interest of Bonds

When calculating the accrued Interest of Treasury Bonds, how does one set the settlement date? And, is it possible for certain bonds that there are no coupon payments before the settlement date and ...
1
vote
1answer
100 views

Calculating Accrued Interest of Bonds

I am trying to calculate the accrued interest for a set of Treasury Bonds. I am comparing the answer from the code below with that for the 1st Bond(row) over here. In the link the AI is ...
1
vote
1answer
36 views

Correct Theoretical Discount Factors from Nelson-Siegel-Svensson?

I am calculating the theoretical discount factors associated with a bond that has 30 months to maturity from today with the parameters below obtained from here using the Nelson-Siegel-Svensson Model. ...
1
vote
1answer
266 views

How to use Halton sequence in monte carlo simulation

Does anybody know how to use the Halton pseudo random technique in monte carlo simulation. I'm able to generate the sequences and I know they are correct. I checked a couple of numbers from different ...
1
vote
2answers
118 views

Why does the short rate in the Hull White model follow a normal distribution?

Consider Hull White model $dr(t)=[\theta(t)-\alpha(t)r(t)]dt+\sigma(t)dW(t)$ when we solve the SDE above we have $r(t)=e^{-\alpha t}r(0)+\frac{\theta}{\alpha}(1-e^{-\alpha t})+\sigma e^{-\alpha ...
1
vote
1answer
69 views

Delta derivation from the expectation

I'm trying to understand the following transformation leading to Delta $\frac{dC}{dx} = e^{-r\tau} \mathbb{E}[ \frac{\partial}{\partial x}\text{max}(xY-K,0)] = e^{-r\tau} \mathbb{E}[Y ...
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
79 views

On a source for a mean-variance portfolio optimization result

In the context of a mean_variance framework consider an optimizing investor who chooses at time $T$ portfolio weights $w$ so as to maximize the quadratic objective function: $$U(w) = E[R_p] - ...
1
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1answer
1k views

Par and Zero Coupon Yield Curves

The government par yield curve shows a marginally lower yield than the Government zero coupon curve. What is the reason for this in general.
1
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2answers
128 views

How To Account For Inflation Over Historical Data

I believe inflation is greatly affecting my sample data, even when using percent-changes for movements. I have read this post, which recommends the formula ((Current-Base Year CPI) * Price) / ...
1
vote
2answers
259 views

BInary Option implied volaltility

How is implied vol calculated if the quoted prices are out of the range for any possible volatility? E.g. Current quote on CBOE for options expiring on Aug 16, 2014 ...
1
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2answers
2k views

Is there a formula for future value of a growing annuity with yearly payment growth and monthly payments?

My example is saving for college: assume a start of 0 balance deposits of 200 made monthly, every year they increase by (g) 2% to account for salary increases, first deposit made at the end of the ...
1
vote
1answer
201 views

FX Rate dynamics

Let's suppose USD/EUR price in USD follows a GBM with $$ dS_t = rS_tdt + \sigma S_tdW_t $$ What process does EUR/USD follow in EUR?
1
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3answers
159 views

Greeks of self-financing portfolio

I would like to learn more about the Greeks of portfolios of options: In textbooks and websites, I commonly encounter the unqualified claim that "The Greek measure of a portfolio is the sum of the ...
1
vote
0answers
249 views

Quadratic utility function

May you can help me undertanding the following conclusion: Suppose we have an agent who has preferences over contingent claims, represented by a concave function $U$. This simply means that ...
1
vote
0answers
113 views

Does it make sense to apply complicated mathematics to calculate with precision when the margin of error is +/-10%? [closed]

This is more of a philosophical question than general question. Quantitative finance applies highly complicated mathematics and has attracted very smart people to this field lately given the high pay ...
1
vote
0answers
475 views

Oscillatory time-series forecasting

I was wondering if this mean(160)-reverting/oscillatory time series "SUM" can be considered chaotic & forecastable to some extend short-term? ...
1
vote
1answer
2k views

Calculating portfolio allocation beta with different asset classes?

I'd like to calculate portfolio allocation beta on a portfolio that has different asset classes. The portfolio may be made up of: ...
0
votes
1answer
131 views

Matlab code for equally weighted portfolio

I have daily returns of 10 stocks. I need to construct an equally weighted portfolio that goes long in the 3 highest returns and short in the 3 lowest returns. The portfolio needs to be re-balanced ...
0
votes
1answer
71 views

PPPN: participation rate, stocks and premium

I'm a student of financial engineering and am very new to all of this stuff. Now, I'm trying to make an "example of a beginners exercise", but alas, I don't have any clue on how to solve or even on ...
0
votes
1answer
47 views

Factor model to Portfolio optimization

By using the Fama and MacBeth methodology, I have identified the significant factors that explain the returns of my stocks. Now, I want to build a portfolio and backtest it. For that, I am trying ...
0
votes
1answer
64 views

Do FRN's *always* trade on par on reset days, regardless if the issuer's credit quality has changed?

I keep reading that floating rate notes trade on par on coupon reset days. Is this always true, regardless of changes in the issuer's credit quality since the FRN was issued? It seems probably ...
0
votes
2answers
161 views

Legitimate input parameters for Nelson Siegel Svensson model

I had previously asked this question and have come to better understand the answer with regards to setting the input parameters for the Non-Linear Optimization problem that provides the NSS ...
0
votes
2answers
75 views

Calculating units in a cross currency short trade

If I have a forex account with a broker and a balance of 100 USD, and I'd like to short EUR/JPY, how many units can I short? How is this calculated? Which currency pair do I use to translate between ...
0
votes
1answer
1k views

IbPy download historical price data

How can i download historical price data from interactive brokers using IbPy and python?
0
votes
2answers
112 views

Annual dividend yield using option prices

If I have only strike, call and put prices for European options, how do I work towards computing the continuous dividend yield?
0
votes
1answer
43 views

Compute the (Net) Present Value

Let's have a project where we invest 1000 at the beginning of year 1 and 1000 at the beginning of year 2. At the end of year 2 the income is 2200 and the project is closed. Person A discounted with ...
0
votes
2answers
178 views

Pricing a call when minimum stock price above strike with certainty

I am editing this question because it was originally unclear, and I didn't get the answers I was hoping for. In my finance book I have the following question T-bills currently yield 5.5 percent. ...
0
votes
1answer
157 views

Can I do a GARCH model to forecast a time series?

I read this paper https://research.aston.ac.uk/portal/files/240393/AURA_2_unmarked_Energy_demand_and_price_forecasting_using_wavelet_transform_and_adaptive_forecasting_models.pdf the two authors ...
0
votes
1answer
377 views

Cointegration results interpretation validation?

Here is how I am interpreting results of a Johansen Cointegration Test and Engel-Granger Test for A and B. The results:(Using matlab) ...
0
votes
1answer
132 views

Finding historical data for indices [duplicate]

Where can I find historical data for option prices on a given index ? Ideally I'd like to find for a period of several months 1) historical prices on options on a given index 2) historical prices on ...
0
votes
2answers
152 views

How is the price of a bond actually determined?

How the price of a bond is actually determined? Is it the supply-demand that determines the price first and then the YTM is calculated on the back of this for that bond. Or is it that the changes to ...
0
votes
1answer
360 views

Getting the next price of a GBM (Geometric Brownian Motion)

I am writing a program that creates realizations of a GBM. Starting from an initial price, I get the following price with this formula: ...
0
votes
3answers
328 views

Modeling Financial Time Series

Price time series are not stationary. So we difference them and get the return time series, which are stationary. Does this mean, it is always a good idea to model only the return series of financial ...
0
votes
0answers
115 views

Stochastic Volatility for Stocks, FTSE

Can someone help me with calculating Stochastic Volatility (of stocks and options) using SAS or R or Matlab please? I am new to SAS and I am trying to use Heston model, White-Hull model or any other ...
0
votes
0answers
103 views

Is there a strong solution to $\frac{dS}{S}=\sigma(S)dw$?

Does someone know if there is a strong solution for this SDE : $$\frac{dS_t}{S_t}=\sigma(S_t)dW_t$$ where $$\sigma(S)=\begin{cases} 1\;\;\;S>1\\2\;\;\;S\leq 1 \end{cases} $$ $S_0=1$ and $W_t$ is ...
0
votes
2answers
589 views

garchOxFit in R

Could someone please help me with trying to get the Ox interface to work in R. I followed the steps outlined in this paper (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1752095), but I get the ...
0
votes
2answers
1k views

30360 Daycount Count Convention to find NPV for Bonds

Using a 30/360 day count convention, how can you value the NPV of these cash flows and the discount factor? I know how to discount cash flows but how does it differ using a 30/360 approach? What is ...
0
votes
1answer
299 views

Where to find introductory material on leveraged loans?

What are some good, preferably free, introductions to leveraged loans, also known as syndicated loans or bank loans? The introduction should describe the basic mechanics and very importantly provide ...
0
votes
3answers
658 views

What are the best master programmes for someone interested in a career in quantitative finance? [closed]

Any recommendations on the best schools and overall education choices for quantitative finance?
-1
votes
2answers
322 views

BS and delta hedging questions

I have two related questions concerning Black Scholes and delta hedging. I thought about this two questions, but I could not come up with an answer, so maybe you guys & girls can help me: If an ...

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