All Questions

1
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0answers
51 views

How does the FED calculate SAAR for GDP?

In looking at the Fed's GDP growth rate data, it looks like the fed uses a different calculation for calculating annualized growth rate than the typical annualized rate of change. Does anyone have any ...
1
vote
0answers
33 views

Functional Analysis or Ordinary Differential Equations? [closed]

I am a current undergraduate and will be looking to apply to Quant Programs next year. This semester I have the choice between selecting Functional Analysis and Ordinary Differential Equations. I have ...
0
votes
1answer
64 views

why $f(t,u) \neq E_t^Q [r(u)]$ when $r$ is random?

If I suppose the short rate $r$ deterministic, and the risk neutral measure $Q$, I can write the following : $$f(t,u) = -\frac{d}{du}\ln P(t,u) = -\frac{d}{du} E_t^Q \left[ e^{-\int_t^{u}r_sds} \...
2
votes
1answer
80 views

How do I compute Value at Risk of a European call option?

Consider a European call option on a non-dividend paying stock, where the option has strike K = 100 and expiry T = 0.25, i.e. the option expires 3 months from now. The option is on a single share. The ...
2
votes
0answers
44 views

Fixed Income portfolio type

Could someone kindly point me toward a primer that would cover the various type of fixed income portfolio strategies under modern portfolio theory ? In a nutshell, I would like to know what kind of ...
0
votes
0answers
32 views

Volatiliy in a at-the-time call option [duplicate]

I understand that the vega of the Black-Scholes equation is a positive function, which means the value of the option is an INCREASING function of the volatility, since vega is the derivative of the ...
1
vote
3answers
96 views

Put Call Parity Arbitrage Question

I am incredibly stuck on the following question... Any help would be greatly appreciated. According to your binomial model, the price of YMH in 3 months will be either USD 55 or USD 45, with ...
0
votes
0answers
41 views

If the value of a call option is not dependent on the drift of the stock, why does a higher stock price mean a higher call option price [duplicate]

I have read that the price of an option is not affected by the drift of the stock since the drift term doesn't appear in the Black Scholes PDE. I become confused because to me, this implies that the ...
4
votes
1answer
69 views

Barrier Option from binomial tree

What is the smallest information structure that is required for using the binomial tree to calculate the price of a barrier (up-and-in) option? My gut feeling is any node below the node that reaches ...
1
vote
2answers
126 views

Book recommendation on portfolio managment

I have a BSc degree in pure mathematics and i am graduate student in Operations research. I will have a course on "portfolio management". I am looking for some book/lecture notes/online course ...
2
votes
2answers
52 views

Why is the yield return preferred to the price return for selecting hedges for bonds?

For evaluating a hedge for a bond, I noticed that we often look at the yield return correlation between the two instruments, instead of the price return. Why is that? To me, the price would make more ...
1
vote
0answers
24 views

Comparing short selling profits across positions

For academic purposes I try to estimate the profitability of a short position while not knowing the margins and cost associated with shorting, thus I am only interested in the gains or losses made ...
1
vote
1answer
36 views

How do I change the time zone in the interactive brokers API?

I am using the Interactive Brokers API, TWS release 974, with IBC and the ib_insync library. I would like to change the time zone inside one of these, in order to get market data and history according ...
2
votes
1answer
79 views

Reference books for interest rates modeling?

I'm interviewing for a rates modeling quant role in a sell side bank. The role is centered around pricing and risk management of rates trading carried out by the front office. I've been told to ...
3
votes
2answers
69 views

Hedging treasury bond with Eurodollar futures

I was reading Interest Rates Markets by Jha, and on p. 214, he describes hedging a 5 year treasury bond with a ED future strip, as described below. He says the best hedging quantity can be generated ...
1
vote
0answers
55 views

Why “profit factor” is used to compare trading strategies?

A lot of books/articles/trading forums mention that "profit factor" is probably the most important measure and should be used to compare different trading strategies. They define profit factor as ...
1
vote
2answers
87 views

Greeks and options hedging

Why is it that theta is sometimes taken as the proxy for gamma of the underlying asset in options hedging?
0
votes
3answers
65 views

How to test the linearity assumption of a model?

Let's say I want to have a model that projects income over a stressed period. I have a marked-to-market component that shows the P&L of trading book positions during this stressed period. Along ...
4
votes
0answers
40 views

Produce volatility smile/skew with G2++ model

Suppose I have a G2++ short rate model: $$r(t)=x(t)+y(t)+\phi(t), \quad r(0)=r_0$$ with $$dx(t)=-ax(t)dt+\sigma dW_1(t), \quad x(0)=0$$ $$dy(t)=-bx(t)dt+\eta dW_2(t), \quad y(0)=0$$ $$d\langle W_1,W_2\...
0
votes
1answer
47 views

Simulated Sharpe Ratio Calculation for Leveraged Portfolio

I've written some VBA code to simulate the effect of borrowing money, investing it, and repaying the loan daily. PseduoCode: Start with a portfolio value of P = 1 Each day borrow P, invest 2*P, ...
1
vote
0answers
33 views

Expected shares filled from a limit order

If I place a limit order to buy a stock at the bid, what is the expected number of shares that will be filled by the close? I think it depends on The time until the close. More time until the close ...
1
vote
0answers
16 views

Evaluating Fama French 3 factor model Using Fama Macbeth

Hi Can someone please explain me how the cross sectional calculation can be done. For an example, I'm having a vector like this. Vector 1: This is the vector where all the excess returns for n ...
7
votes
0answers
75 views

Does your Parkinson volatility ratio work as Taleb explained?

According to Dynamic Hedging: Managing Vanilla and Exotic Options (Taleb, 1997), the Parkison volatility estimator has several meaningful properties. It is defined $$P=\sqrt{\frac{1}{n}\sum_{i=1}^{n}\...
1
vote
0answers
16 views

FRTB SBA Delta calculation for GIIR

In FRTB Sensitivity based approach delta calcualtion forg GIIR we have the defined vertices 3M, 6M 1Y, 2Y,5Y,10Y,15Y,20Y,30Y. Say for USD bucket we have risk factors as USD-OIS and USD-3M curve, when ...
2
votes
0answers
35 views

Best features and tools over a short time interval [closed]

For a short time interval, what are the features having the most impact on a stock price movement? In the same direction, what are the better tools to tell us the price movement tangent? As tools, I ...
1
vote
0answers
24 views

Market Making in Long Only Dealer Markets/Odd Lots

How do you adjust market making models from the equity space to the dealer space. For example, a bond dealer that cannot go short to make a market will naturally have a different quoting mechanism ...
1
vote
1answer
69 views

Shifted Log-Normal model

I am trying to understand how the shifted log-normal model works, in which we shift a log-normal model by a factor before the simulation so that interest rates don't turn negative during the ...
3
votes
2answers
67 views

Conditional Expectation with Indicator Functions for Poisson Process First Jump Time (Option Pricing PDE)

This is supposed to be for the derivation of a PDE for pricing a specific type of option, from the book 'Nonlinear Option Pricing' (Guyon). The option delivers $g(\tau, X_{\tau})$ at time $\tau$ if $\...
2
votes
1answer
60 views

Drift term in rough volatility models

I'm studying rough volatility papers and was wondering, why the drift term is always missing. See for example the paper Pricing under rough volatility by Bayer, Friz, Gatheral. On page 2, the ...
2
votes
1answer
86 views

Calculating the pricing error in Fama-Macbeth Regression for Fama/French 5 Factor model

I'm very much new to this area and I need to know on how to calculate the pricing error in Fama/French 5-Factor model. The evaluation was done using the Fama-Macbeth approach. I did everything as ...
1
vote
1answer
52 views

How to calculate mean and volatility parameters for Geometric Brownian motion?

Say I have a time series $S_K$ for monthly asset prices for the last 30 years. I want to run a monte carlo simulation using geometric brownian motion $$S_t = S_0\exp\left(\left(\mu - \frac{\sigma^2}{...
2
votes
1answer
56 views

Monte Carlo simulations of stock price percentage change rather than stock price

Say we have a stock price time series $S_k$. We can do monte carlo simulations on the stock price to make predictions about future prices (e.g. through Geometric Brownian Motion SDE's). Does it make ...
0
votes
1answer
58 views

Why does a higher stock value imply a higher call option value [closed]

This may seem like a very dumb question, but if the underlying stock price is greater, then why should a call option be worth more. My reasoning is that, if the option price is not affected by the ...
1
vote
0answers
45 views

Term structure of the ATM implied volatility of short term weekly options

It's an empirical fact that the implied volatility of short term weekly options are significantly higher than options that expire in a few weeks, and the volatility of the near term options get even ...
4
votes
0answers
51 views

Understanding and simulating the jumps in Merton's Jump-Diffusion SDE?

I found this great post deriving the solution to the Merton Jump-Diffusion SDE $$S_t = S_0\exp\left(\left(\mu - \frac{\sigma^2}{2}\right)t + \sigma W_t\right)\prod_{j=0}^{N_t}V_j$$ The first part of ...
0
votes
0answers
29 views

Investment evaluation benchmarks

I am writing software to aid in the evaluation of investment projects. Specifically, property based as a first step. I know about NPV and IRR and IRR feels like the best measure. So it gives me a ...
8
votes
1answer
185 views

Vanilla Option Prices from Local Vol Surface (using neither MC nor PDE)

There are numerous papers that describe the derivation of the Local-Vol equation using available market prices of options. For example: Dupire's formula (see e.g. OpenGamma (2013)) gives us LV in ...
1
vote
0answers
26 views

Why no prepayment fee for the reverse mortgage?

I am currently studying the costs (to lender) of adding certain additional options to the reverse mortgage, including the option of prepayment. Would there be any scenarios of housing price/mortgage ...
2
votes
0answers
32 views

SquareRootProcess in QuantLib - Python

I would like to price an American put option using the SquareRootProcess class in QuantLib - Python but it seems that it does not exist. As the underlying follows the following model : $$\rm{d}S_t=...
0
votes
0answers
41 views

replicate option by dynamic hedging

I've just started working for a company with a decent commodity exposure. They manage this by as they call it dynamically hedging it. Basically when they start the hedging they identify a market ...
1
vote
0answers
46 views

Maximum Sharpe Ratio Portfolio

Conceptually, what are the drawbacks / unforeseen risks of running a portfolio whose weight are derived from what would have maximised the sharpe ratio over the previous time period (last 30 days) ?
0
votes
0answers
53 views

value of forward contract at inception

I am reading a derivation of the forward price $F$ of a forward contract. I think the author uses a circular argument to assume that "the value of the forward at inception is equal to 0" because the ...
0
votes
0answers
26 views

Do linear combinations of two efficient portfolios cover the entire efficient frontier?

Note : We are considering the case of N risky assets. I think the answer is 'Yes', although I am not sure as I am unable to prove it. The reasons for me thinking that the answer is 'Yes' are - 1) ...
3
votes
1answer
39 views

Does the CAPM use the single index model?

When we derive the CAPM (i.e. find equations for the capital market line and the security market line), we nowhere assume that the individual security return is linearly dependent on the marker return ...
0
votes
1answer
40 views

Return on Investment for rolled options position on margin [duplicate]

I'm trying to calculate my return on investment (ROI) for an options position on margin that has been rolled. I'll give an example: Sell to Open (STO) a naked put position, for which I collect 100 ...
0
votes
1answer
41 views

When calculating theoretical futuresprices for oil, how do you calculate the storage costs?

I have read that the terminal cost can typically be 0,15-0,5 dollars per barrel, but are you also supposed to include the cost of capital (WACC) when calculating the total cost? Why? Why not?
0
votes
0answers
21 views

Calculating stub period discount factor when bootstrapping [duplicate]

When building a curve based on for example: Valuation date: T FRA 0Dx3M 0.01 (settles T+2) FRA 3Mx6M 0.02 ... How do you get the discount factor for the settlement date T+2, which is needed when ...
1
vote
1answer
88 views

What is the order flow imbalance?

The price impact of order book event is an arxiv article which shows that, over short time intervals, price changes are mainly driven by the order flow imbalance, defined as the imbalance between the ...
0
votes
1answer
69 views

negative values in geometric brownian motion

A GBM $ \frac{dx}{x} = \mu dx + \sigma dW $ solves to $x_t = x_o e^{(\mu - \sigma^2)t + \sigma W_t}$ From the solution, it is clear that $x_t$ cannot become negative. However, it is not so clear ...
3
votes
1answer
132 views

Dependency of an option price on time till expiry

I am trying to seek satisfaction when it comes to understanding why the price of an option is dependent on the time until expiry. I have read that the longer till expiration, the more time available ...

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