1
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0answers
40 views

How are ETF fees deducted? What happens if you short an ETF?

When I buy an ETF, the ETF issuer wants a certain management fee (expense ratio). How is this usually paid? I've read that this might be deducted from dividends - is this the case? How does it work ...
1
vote
1answer
59 views

BSM Model - Actual probability

Actual probability of exercise of put option under BSM model is: PD = N(-d2(u)) (using expected return of stock, u) Risk-neutral equivalent is ...
1
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0answers
65 views

Two-period binomial model for American option

Consider a two-period binomial model for a risk asset with each period equal to a year and take $S_0 = 1$, $u = 1.5$, and $l = 0.6$. The interest rate for both periods is $R = .1$. a.) Price ...
1
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0answers
61 views

SDE for a portfolio of two correlated assets $ Y_{t} = 2 S^{1}_{t} S^{2}_{t}$

I am analysing a problem where I have two correlated stocks described by Brownian motions $$ \frac{dS^{1}_{t}}{S^{1}_{t}}=\mu_{1} dt + \sigma_{1} dW^{1}_{t} \quad \quad (1)$$ $$ ...
1
vote
0answers
36 views

On the construction of a Brownian motion from a Gaussian process

Let $X$ a Gaussian process defined by $$ X_t=\int_{0}^{t}\left(\frac{1}{\sigma}\left(r_s-\frac{\sigma^2}{2}\right)-\rho\sigma_P(s,T)\right)\mathrm{d}s+\sqrt{1-\rho^2}Z_2(t)+\rho Z_1(t);\;\;t\in[0,T] ...
1
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0answers
50 views

Modeling Interest-only Mortgages

First post on this forum - happy to be here. Please give feedback if this is off-topic so I can more meaningfully contribute moving forward. Can we infer a range of future all-in costs for I/O ARMs ...
1
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0answers
24 views

PnL Explained Using Scenario(Full Reval Model)

I was wondering if any quant guru can help . How to calculate the PnL explained using full reval aka scenario based = > t - (t-1) approach for linear instrument. I am finding difficulty to understand ...
1
vote
0answers
15 views

How to calculate the initial payment of a graduated payment mortgage (GPM). Real estate Mortgage analysis

My professor used this: 12%, monthly-pmt, 30-yr GPM with 4 annual step- ups of 7.5% each, then constant after year 4: ...
1
vote
0answers
15 views

Affect of choosing different combinations of variables for multivariate regression [closed]

If I have variables x1,x2,x3,and x4 that have correlation coefficients −0.9,−0.5,0.5, and 0.9 to another variable y, what is the effect of choosing different combinations of them in a multivariate ...
1
vote
0answers
21 views

Marginal Distribution using GARCH model

I have n return series. I fitted AR(1)-GARCH(1,1) to each return series. Then used PIT(residuals) to transform the residuals to uniform. Then I fitted n dim copula to the data. I simulated 1000 points ...
1
vote
0answers
16 views

How to Rank assets in Portfolio? [closed]

I am working on active equity Portfolio. I have total 30 securities in my Portfolio. Can someone please guide me how can I rank those assets in my portfolio. ...
1
vote
1answer
18 views

Initiating new orders with active “order-session” only?

Is it a must to establish "quote-session" & subscribing to quotes/market data before initiating a "New Order-single(Market-GTC)"? I actually can't see any use of quote-session for trading ...
1
vote
0answers
19 views

what do metrics and indicatives mean in the finance context? Like trading of MBS products

it's often heard in my daily work as a programmer in an investment bank, supporting mortgage backed securities desks (passthrough, agency cmo, cmbs, etc). My take is that the terms describe the ...
1
vote
0answers
10 views

How to calculate price in non-competitive bidding that bidders will receive?

Following bids are received in treasury bond auction. Notified amount is Rs.20,000Million. No amount devolves on the RBI/PDs. No. Of bonds/ Price(Rs.) 46/ 110.185 45/ ...
1
vote
0answers
38 views

Distribution of AR and MA polynoms roots in ARMA/ARMA-GARCH models

I have another noob question. So, for example, I have ARMA(2,2) model: $$ x_{t} = \phi_{1}x_{t-1} + \phi_{2}x_{t-2} + e_{t} + \theta_{1} e_{t-1} + \theta_{2} e_{t-2}$$. So, I have 2 polynoms: $$1 - ...
1
vote
1answer
27 views

Fast to compute, yet plausible risk attribution measures

I am looking for a fast to compute, yet plausible risk attribution measure based on the risk measure used compute overall risk. To be more specific, assume that my risk measure is VaR of a portfolio. ...
1
vote
0answers
26 views

What is the difference between a three month return and a quarterly return?

I am looking at VGENX, and this product has first-quarter and three-month returns of 7.8% and 20.3%, respectively, according to zacks.com. I take it as the three month return is calculated taking into ...
1
vote
0answers
24 views

A question about spot rate forward rate and swap rate [closed]

A term structure is given as follows. The market convention is compound interest, that is, the present value of one unit at time T is...
1
vote
1answer
41 views

Regressing using Fama-French portfolios with small amount of stocks

I'm doing some research for my thesis and I was wondering if it is possible to only use monthly stock price data for 22 stocks and construct Fama-French portfolios out of them and then regress? What ...
1
vote
0answers
18 views

Using Put Volatilities to Estimate Firm Leverage/Credit Risk

This paper by Hull, Nelken and White uses implied volatilities in structural credit risk models to back out a market-implied leverage ratio. CreditGrades has a similar implementation using equity ...
1
vote
1answer
28 views

American option - Upper bound

I have computed a lower bound for an american option through longstaff and schwartz's algorithm. Now I have to compute the upper bound as andersen and broadie does in their article. Can anybody help ...
1
vote
1answer
68 views

Arbitrage opportunity in discrete time

Say we have the following binary option $B$ on asset $S$ with strike K and expiration time T, assume also that the following relation holds at time $0$: $B > N*C(K,T)-N*C(K+1/N,T)$ Where $N$ is ...
1
vote
0answers
113 views

Trouble verifying roll rate model

I found this paper on roll rate analysis via a google search. I would post a link, but every page is stamped with "CONFIDENTIAL" at the bottom (humorous since it is easily found). In a nut-shell, ...
1
vote
1answer
239 views

Geometric means, standard deviation, and sharpe ratios

I have 3 related questions: a) I've seen formulas for GM and GS which eithier do, or do not, involve taking the exponent. Which is right? i.e. for GM I've seen both mean(ln(1+rt)) and ...
1
vote
0answers
11 views

How we can use adjusted price in combination with price limit in a stock market?

How we can use adjusted price in combination with price limit in stock market? suppose that we have a price limit in a stock market. For example if yesterday last price is ...
1
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0answers
27 views

Performance measure

Can anyone give some intuition behind the relative performance measure that is a percentile raking of trading activity. It indicates the percentage of total activity the investor outperformed the ...
1
vote
1answer
63 views

How to price a stock under Q and stochastic interest rates?

I am interested in pricing a stock under $\mathbb{Q}$ when I assume that $$dS(t) = \mu(S(t))dt + \sigma(S(t))dW(t)$$ where $W(t)$ is a Wiener process under $\mathbb{P}$ and $$dr(t) = a(b-r(t))dt ...
1
vote
0answers
21 views

Methodologies behind shocking a composite index instrument, what assumption distinguishes these?

Suppose I have a composite index (rebalancing or non-rebalancing) that at present time has some base value $B_{\text{base}}$ in some base economy. I am in the process of shocking the economy on which ...
1
vote
0answers
24 views

How can I discover dark pool orders in an order book?

I'm learning order flow. I would like to differentiate between aggregated dark pool volume and aggregated algo trading volume. Is there a way to tell orders coming from a dark pool from algo orders? ...
1
vote
0answers
26 views

Beta in Capital Structure [closed]

Can anyone please explain how do I get this: $$\beta_e = \beta_a +(\beta_a - \beta_d) \times D/E$$ from $$K_e =K_a +(K_a − K_d) \times D/E.$$
1
vote
0answers
18 views

Local volatility grids - Monte carlo - Implementation [closed]

I read the paper "Monte Carlo pricing with local volatility grids" (authors: D.F. Abasto, B. Hientzsch and M.P. Kust) and I would like to know if anyone on this forum had a chance to implement it as I ...
1
vote
0answers
52 views

Bloomberg Currency Exchange Rate Data (London and New York)

I'm new to Bloomberg terminals (a paper I'm reading uses data from a terminal - my first exposure) and I'm having trouble figuring out how to download a few different time series: (1) daily closing ...
1
vote
1answer
44 views

Parametric VaR of a portfolio including a swap

I am calcualting the parametric VaR of a portfolio that includes among other things an IRS swap that begins in the exact same day the valuation is done. Therefore, its NPV is 0 and I do not which ...
1
vote
0answers
40 views

Calculating expected annual returns [on hold]

An economy contains these three assets: Asset A has standard deviation of returns (per annum) of 25% and market capitalisation $600m Asset B has standard deviation of 20%, market capitalisation ...
1
vote
0answers
14 views

How to enter to economics/finance sector [closed]

Although my question is a general question, I would appreciate your suggestions or help me to find a proper "stack exchange" in order to ask my question: I am a Ph.D student in (Pure)Mathematics and ...
1
vote
0answers
39 views

Leverage and Drawdown

What are the risks of deleveraging a leveraged long/short equity portfolio when going into a drawdown at certain drawdown stops, like deleveraging by 30% when breaching a -5% drawdown, deleveraging a ...
1
vote
2answers
57 views

Market making in futures

I am learning various strategies to day trade the emini SP500 futures contract (ES) based largely around order flow principles and price action. I have been wanting to learn more about market making ...
1
vote
0answers
34 views

Bayesian analysis in R: Probability of default, low default portfolios

I want to apply the knowledge of this paper (Bayesian estimation of probabilities of default for low default portfolios, by Dirk Tasche) in R, but I can't find the right bayesian package and functions ...
1
vote
0answers
19 views

Continous-time portfolio allocation optimization for a given consumption rate

I have the following PDE $0 = V_t - c(t)V_x - \lambda^2 V_x^2/V_{xx} + rxV_x + 1/2\lambda^2x^2V_{xx}$ where $t\mapsto c(t)$ is some given function and $r,\lambda$ are given constants. If necessary, ...
1
vote
0answers
29 views

Intraday return and volatility figures some sense check

Some questions about intraday returns and volatility figures. It is with the objective of sense checking. Firstly, for Security A, I am calculating the five minute interval return numbers over 29500 ...
1
vote
0answers
15 views

Making apriori Statements on VaR Backtests with a Garch Modelled VaR

so I want to find out, if its possible to find out for any backtest for the Value at Risk(Kupics POF or Christophersen's Markov Test), if it is possible to make apriori Statements on Testing results ( ...
1
vote
0answers
53 views

FX Statistical Arbitrage Strategy [closed]

I have had experience creating stat arb strategies for equities and etfs, but haven't dabbled much into FX trading. I was wondering if anyone knew any resources online they would suggest, or could ...
1
vote
1answer
63 views

Find the solutions of the ODE from SDE

Consider the SDE $$dS_t = rS_t dt + \sigma S_t dB_t \ \ \ \text{where} \ r \ \text{and} \ \sigma \ \text{are constants}$$ a.) Find the ODE for the function $V(x)$ such that $e^{-rt}V(S_t)$ is ...
1
vote
0answers
34 views

Find the PDE for a function that makes it a martingale

Given the SDE, find the PDE for the function $V(t,x)$ such that $V(t,S_t)$ is a martingale. $dS_t = \kappa(m - S_t)dt + \sigma\sqrt{S_t}dB_t$ where $\kappa$,$m$, and $\sigma$ are constants. ...
1
vote
0answers
34 views

Price compounding: Swap versus Governments Bonds

There are different rates curve to compound prices. Since the crisis, regulators tends to favor price compounding with swap curves over IR curves deduced from governments bonds (EU regulators, french ...
1
vote
0answers
12 views

Why use Moody's KMV EDF for one year

If I were to use Moody's KMV proprietary database with expected default frequqncies(EDF) for sectors and countries, along with aggregations for financials and non-financials, significant banks etc: ...
1
vote
1answer
24 views

How to value pricing and ratings? How to quantify best value? [closed]

I'm trying to define which hotel offers the best value. Let's say we have two hotels - A and B. For A, you pay $10 a night and the rating for the hotel is 9.8. For B, you pay $8 a night and the ...
1
vote
0answers
16 views

Multi-factor APT model in practice: non-zero mean factors, observations needed and portfolios

I'm going to build a multi-factor APT model for the Swiss market starting from the work made by Chen, Roll and Ross (to which I will add and test some additional factors). I have some doubts though: ...
1
vote
2answers
109 views

What does a negative stock amount mean in a single-period, binomial market model?

Consider a single-period, binomial market model with a $r > 0$ interest rate (in USD per period) and a portfolio $(x, y)$ consisting of two assets: a savings/lendings account and a stock, both ...
1
vote
0answers
6 views

What are appropriate algorithms for forecasting contract schedules to maximize profit?

Imagine a situation where a business negotiates contracts for the maintenance of widgets it sells. Situation Customer buys 20 widgets. Customer negotiates contract for widgets to be ...

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