All Questions

0
votes
0answers
9 views

Extreme Value Simulation from Copulas with Monte Carlo

I'm trying to simulate the tail values from a multivariate distribution using copulas. I'm using Vine Copula package of R to derive the suitable copula for my data and I generate random samples out of ...
0
votes
0answers
7 views

Correlations between different baskets of assets

Struggling to see the answer to the following problem - Assume you have $N$ different assets, and all pair-correlation coefficients $\rho_{ij}$ between them are known. If you now form two arithmetic ...
0
votes
1answer
21 views

Ito formula (lemma) problem

I am trying to solve this problem Consider the following one-dim. stochastic process $$dX_t = b_t dt + \sigma_t dW_t$$ where $W$ is a one-dim. Brownian motion. The above SDE is well-defined. ...
0
votes
1answer
18 views

Why are FRA/futures convexity adjustments necessary?

This would be my explanation for the reason that convexity adjustments must exist: Futures are margined daily, such that if a trader is paid a future and rates goes up then money is paid into their ...
0
votes
0answers
9 views

What is the log return of stock price? [on hold]

I am trying to understand what is the definition of log return of a stock on a particular day? I am confused because the previous day's closing price does not equal to the opening price of next day, ...
0
votes
0answers
14 views

Filtrations and the different “kinds” of pre-knowledge

I am searching for a reference I think I saw in a book by either Shreve or Oskendahl. I am struggling with a theoretical question. As I recall how it was posed, the idea of no prior information (or ...
1
vote
0answers
24 views

Wheres is this method/notation of option portfolio payoff design from?

The "desired position" in the image is a set of slopes $(0,1,-1,0)$, and a set of strike prices between these slopes $\mathbf{K}=(98,100,102)$. The payoff is then designed by finding the positions $...
0
votes
0answers
23 views

Predicting time series using Jump Diffusion model and Neural Networks [on hold]

I am trying to understand the difference between using Jump diffusion model and Neural Networks or more precisely LSTM to predict time series data regardless what that data contains for example a ...
0
votes
0answers
15 views

Preference Shares and free float

I am calculating the free float of shares included in an index, would the preference shares be counted as part of free float?
0
votes
0answers
24 views

Floating coupon rate based on sales?

Just a quick question, can a floating coupon rate be tied to SPV daily revenue? My client want to issue an ABS bond, and its coupon would be (0 + 2% of the daily sales) Would it be admissible? or ...
0
votes
0answers
17 views

Is there any optimization model in pair trading strategy? [on hold]

I found some pair trading models using stochastic process but not optimization model. Is there any pair trading model using optimization method ?
0
votes
0answers
31 views

Portfolio calculation for 20 currency pairs

I'm trying to find a way to compute an optimized basket of n currency pairs based on 2 properties. Let's say i have 50 pairs * 2 (long/short) = 100 possible items. A basket has 2 properties to ...
0
votes
1answer
28 views

Stochastic solution (mean, variance) to lognormal drift and normal volatility

I have trouble deriving the state equations for a mixture of normal/lognormal stochastic differential, namely for its a) expected mean, (b) variance, and (c) drift adjustment for LMM - libor model I ...
0
votes
0answers
30 views

Real World pricing of a Constant Notional Cross Currency Swap

I have a question about Cross Currency (XCCY) Swap pricing in the real world. There are plenty of papers going nicely into detail, how XCCY Basis Swaps and XCCY Constant Notional Swaps work. Also ...
0
votes
3answers
93 views

What stochastic process produces Student's t-distributed returns?

If I think daily log returns have a normal distribution, I can simulate intraday log returns as normal, because the sum of normal variates is also normally distributed. What if I want to simulate ...
2
votes
1answer
53 views

What's Hedge Curve Template

what's a Hedge Curve Template (HCT)? How does it help value a bond? It appears to me it normally is used together with another curve where x,y-axis being maturity dates and discount factors ...
0
votes
0answers
15 views

Heteroskedasticity-Consistent Covariance Matrix Estimation [R] [migrated]

I would like to ask about the difference between the vcovHC and vcov in R. The former is described as the Heteroskedasticity-Consistent Covariance Matrix Estimation. What is the difference between ...
0
votes
2answers
46 views

From risk limits to pnl projection?

As a fresh risk manager, today I got an assignment to check whether our risk measurements / limits are setup properly (whether the limits are so tight that affect our p&l) . Better if I can ...
0
votes
0answers
16 views

Risk neutral interest rate calibration

I've only worked with RW model before but not RN interest rate models, so I'm looking for some practical insights on how RN calibration is done for interest rate models. Let's say I want to start ...
0
votes
1answer
29 views

Relationship between tick size, tick value, and contract size?

For many options and futures I can see that Contract Size = Tick Value / Tick Size Are these values always related like this, and if so what does the relationship mean?
1
vote
0answers
39 views

How should one hedge option positions on the date of expiry?

Let's say we are looking at a non-liquid equity ticker and a slightly OOM option on it. The problem is that if we buy delta to hedge it, it could move the underlying market and push the option to be ...
-1
votes
0answers
27 views

FORECAST-Diabold-Mariano TEST

how can I interpret the test of Diabold-Mariano, here ar my results from R-STUDIO: ...
0
votes
0answers
26 views

When to use overlapping and when non-overlapping returns?

When to use overlapping or non-overlapping returns for further PCA decomposition?
0
votes
1answer
39 views

Vasicek and Extended Vasicek Model

I want to ask about basic reasoning in Vasicek and Extended Vasicek model. Why $P(T,T) = 1$ for non arbitrage model? Can we place $P(T,T) = 10$ or other numbers? Is it correlated with The Law of ...
0
votes
0answers
21 views

Solving the sde under the Bates Model

Can someone please help me to find a way to simulate or find an approximation for the sde? So far, I've come across some research papers that use the 'Markov Chain Monte Carlo' method. But are there ...
-1
votes
0answers
19 views

Calculating VaR by risk Factors such as IR and FX? [on hold]

Can anyone explain step by step method of calculating VaR of a portfolio by Risk factor such as IR ??
1
vote
1answer
31 views

Do companies' Reuters Instrument Codes (RICs) change over time?

I am merging two datasets: 1) One which includes Reuters US companies' RICs and the number of news linked to each company; 2) Compustat US, taking data from 1996 to 2018. I have few questions: ...
0
votes
0answers
32 views

Problem in copula fitting

I have returns of 2 stocks: stock1 and stock2. And I want to fit pair copula. I use this libraries library(VineCopula) library(copula) then I select an ...
0
votes
1answer
49 views

Best practice approach for computing beta

I was wondering how one should choose parameters such as "frequency" of returns (daily, monthly etc.), "time frame" (1 or 3 or 5 years of historical data etc), benchmark (same of the portfolio or the ...
0
votes
2answers
67 views

What are some scenarios where trading a risk reversal makes sense?

I understand that risk reversal is a bet on the skew of the implied volatility curve. But when would one have a view on the skew of the curve? I understand that one can have a view on the underlying. (...
1
vote
1answer
28 views

Relationship between Tracking Error and Beta to benchmark

Analyzing an indexed portfolio, can we say there is any relationship between ex-ante TE and Beta to benchmark? Tracking error is the volatility of the difference in returns between the portfolio and ...
0
votes
0answers
37 views

API returning company tickers found in provided news article

I'm looking for a REST API (paid or free) that accepts a string containing a news article (example below) as payload and returns an array of company tickers (eg TSLA for Tesla) mentioned in the ...
1
vote
0answers
36 views

Brownian motion from price-series, what is the time step?

If I assume a given empirical price-series is a brownian motion, I can estimate the drift and standard deviation as long as I know what the time step was when the process was 'generated'. But since ...
0
votes
0answers
28 views

Approximation of portfolio VaR (after mapping) when Delta and Gamma both equal zero

As titled, I am having trouble estimating the VaR of a portfolio mapped as a function of a single risk factor $S$, in the form : $$V(S) = S^3 - 30S^2 + 300S + 150$$ with current value $S = 10$. $S$...
0
votes
0answers
34 views

Multi-factor model… forecasting stock returns [on hold]

I have selected several useful factors for forecasting stock returns. These are statistically significant in sample and I have also done some out of sample forecasts with positive results. Does ...
0
votes
0answers
23 views

Finding Equity Of A Home Bought Using A Mortgage [on hold]

Let's say I buy a house using a mortgage where the following information is true: The house's original price was $100,000. A down payment of 20% was required. I get a mortgage with a 4.5% interest ...
0
votes
0answers
18 views

Why no median-CVaR optimization for portfolios?

Question Since CVaR is a concept that can be applied to all probability distribution, even if they do not follow normal distribution, I thought CVaR should be more concerned with median, not the ...
4
votes
2answers
52 views

How to add Risks-Not-In-VaR (RNIV) to VaR under Basel III

I am trying to generate/prove the magnitude of the over-conservativeness of the regulatory VaR (internal models) under Basel III against what a more accurate VaR would be. However, I can't seem to ...
1
vote
2answers
56 views

Why can we assume that asset return rates are normally (or lognormally) distributed?

In many theories of financial mathematics it is assumed that asset return rates are normally distributed (e.g. VaR models) or lognormally distributed (e.g. Black-Scholes model). In practice, asset ...
1
vote
0answers
36 views

Constructing Portfolio Beta

Suppose I have a portfolio with securities with different history. Say some securities have 15-20 years of history and some are like Uber or Lyft, which has limited history. There are assets with 1/2/...
1
vote
1answer
43 views

Covered Interest Rate Parity with FX Spot-Adjustment

The Covered Interest Rate Parity for FX is often quoted simplistically as $$ X_T \quad=\quad X_S \cdot \frac{D^{base}_T}{D^{quote}_T} $$ where $X_t$ is the (projected) FX rate at time $t$ (denoted as $...
0
votes
0answers
21 views

Distribution of the Information Ratio // Mean and Variance Product

We are investigating the distribtuion of the information ratio. However, instead of using the original information ratio defined as \begin{equation} IR=\frac{E(r_1)-E(r_2)}{\sqrt{Var(r_1-r_2)}}, \end{...
0
votes
2answers
41 views

Is it possible to adapt Fama French Model with a 6 factor Model?

I am currently working on my thesis and I was wondering if it was possible to add a new factor to the five model one. This new factor would include the ESG's characteristic of the stock. I would like ...
0
votes
1answer
52 views

When a bank enters a swap with a counterparty, when does it decide to use a OIS curve as its CSA Term, versus a counterparty specific “CSA Curve”?

What determines whether a swap should be discounted against a standard OIS curve VS a 'custom' CSA curve specific to the swap's counterparty? (such custom curves are marked as spreads to some base ...
1
vote
1answer
53 views

Forecasting a seasonal series with R

I am working with the program "R". I used the command "seas (X-13)" to deseasonalize my quarterly series, then I did the forecast with it. Therefore my forecast is in deseasonalized terms. Now, I was ...
0
votes
0answers
13 views

Longstaff Schwartz with future conditional coupons

I've implemented the L-S algorithm for a simple put option. I want to value a more complex derivative which has future conditional coupons which only occur if the option is in the money. How would I ...
1
vote
0answers
40 views

Understanding the ZABR model (an extension of SABR)

http://janroman.dhis.org/finance/SABR/ZABR%20Andreasen.pdf In this acticle the SABR model is first presented in another form ( see equation 7 in the article ) and then extended to the so called ZABR ...
0
votes
0answers
42 views

A stringent test of stock return predictability? The role of one-sided hypothesis tests [on hold]

A stringent test of stock return predictability? The role of one-sided hypothesis tests... In a well-published paper, Trading Volume and Cross-Autocorrelations in Stock Returns TARUN CHORDIA ...
1
vote
0answers
50 views

Is it necessary for $P(K, t) - P(K + s, t) \geq se^{-rt}$ to hold?

Let $P(K, t)$ be a put option with strike price $K$ and expiration time $t$. Let $s > 0$. Is it necessarily true that the inequality $$P(K, t) - P(K + s, t) \geq se^{-rt}$$ holds? I know that ...

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