3
votes
3answers
171 views

What should I put on a math finance cheat sheet?

What are the most useful results that I should put on a mathematical finance cheat sheet? Am I missing anything important: https://github.com/daleroberts/math-finance-cheat-sheet
1
vote
4answers
141 views

How can I calculate Value at Risk?

Is it possible calculate Value at Risk on an asset without a time horizon? What kind of variables do you need? Variables that are on the table are value, standard deviation, beta, market return, risk ...
-1
votes
1answer
63 views

Can one use the Greeks (delta,gamma,theta) to show that the Black-Scholes call formula satisfies the Black-Scholes PDE?

If so, is there a derivation anywhere that shows this? I was told that this could be done in a class but I don't see how it's possible.
0
votes
1answer
64 views

Cost of stock issue?

I just can't figure this out. Every formula I find assumes the dividend grows by a percent, not by a fixed amount. The problem: AYZ Company is planning on issuing common stock. Bankers have determined ...
2
votes
2answers
189 views

Why are options called what they are called?

This may be a very obvious question, but can someone tell me where and when the names call and put originated? And similarly, where do the terms American and European option come from? Aside from the ...
0
votes
1answer
99 views

ex ante tracking error correlation between funds

I have two portfolio's called Comb & Global. They both have the same investable universe lets says 3000 stocks & are measured against the same benchmark. So it is possible that both funds hold ...
2
votes
1answer
218 views

Google historical prices on Yahoo Finance before split?

I recently noticed that the price history for Google (GOOG) on Yahoo Finance only goes back to when the stock split. For a while I thought they just hadn't gotten around to adjusting the close prices ...
1
vote
1answer
118 views

Stochastic Calculus in Quantitative analysis

I am an aspiring quant that would like to get a head start learning stochastic calculus, which books FROM EXPERIENCE are the most reader friendly?
2
votes
3answers
225 views

What noun is used to describe whether an option is call or put?

I'm not sure if this should be asked elsewhere, but it seems like a good place as any. Options have a strike price, they have an underlying instrument, and they have an expiry. They are also either ...
0
votes
0answers
23 views

Regulatory Capital Formula under Basel III?

Does anyone know where can I find the exact formula of the regulatory capital charge under Basel III ? (including the VaR, the SVaR, the IRC and two other components I don't remember...) I have been ...
1
vote
1answer
74 views

novice question on fixed coupon schedule in QuantLib

For some bonds I work with the last coupon date is not equal to bond's maturity date. E.g. the last coupon date is April 25th, 2020 and maturity date is April 25th, 2021. I looked at Schedule class ...
6
votes
2answers
229 views

Why do I have a statistically significant slope regressing R(t) on R(t-1)

I am reading Cochrane's lecture note here He mentioned that when you regress annual return on time t on that of time t-1, you will have neither statistically significant nor economically significant ...
0
votes
0answers
39 views

Multi-Factor Models Application

I am trying to use what I learned about multi-Factor Models to apply to some questions: Suppose investing 80% in Portfolio A -100% in Portfolio B 20% in risk free asset If $\hat{F_1}$, denoted by ...
1
vote
0answers
59 views

Adjusting for variance bias when using overlapping data

I'm in the process of constructing volatility cones for several assets and I want to make sure the data is free of biases. I know that using overlapping data introduces an artificial degree of ...
0
votes
0answers
47 views

What are the estimation methods for SV models?

I want to know about some methods like Methods-of-Moments, Quasi-Maximum Likelihood method, Baysian methods using Markov Chain Monte Carlo methods. Is there any reference to have an idea of these ...
1
vote
0answers
33 views

How to price an option with a “step up” feature using binomial tree?

I have a call option with expiry in two years. In my case the option is bermudan style with first 9 months w/o ability to exercise (i.e. European) and after exercise at any time (i.e. American), but I ...
1
vote
1answer
61 views

Will pricing a Bermudan option default to a value of a European option?

I have a call option with 2 expiry in two years. For the first 9 months I cannot excercise the option. After that the I can exercise at any time. I am pricing this option using a binomial tree using ...
1
vote
0answers
20 views

Stability of Equilibrium in 2 good exchange economy

Hello I was wondering if someone could help me with the following question relating to the stability of an equilibrium in a two good exchange economy and the Walrasian auctioneer. The setting is the ...
2
votes
1answer
79 views

Is this an inconsistency between Swap and LIBOR?

I'm a little confused by what I see as an inconsistency between quoted £ swap rates and £ LIBOR. From the FT on 25/4/14: 1-year Swap (semi-annual): Bid - $0.63\%$; Ask - $0.66\%$ LIBOR: 6-month - ...
1
vote
0answers
55 views

Bond pricing with HJM simulation

I'm using Glasserman 3.16 and 3.17 algorithm to price bonds. The algorithms evaluates the forward rates and the discount factor $B(0,t_j)$. My question is: How can I price bonds in a future time? I ...
1
vote
1answer
100 views

Constant term in linear regresion

Can someone give a mathematical proof as to why including a constant in a linear regression equivalent is to running a regression with demeaned data and zero constant? More specifically, consider the ...
3
votes
1answer
64 views

derive black scholes greeks

I am reading a paper and get a problem here, the following terms are all from standard BS models. the paper says using the well known fact $$Se^{-q(T-t)}N^{'}(d1)=Ke^{-r(T-t)}N^{'}(d2)$$ here the ...
1
vote
1answer
25 views

FTSE AIM Components From 2000, 2001, … 2013

From where can I get a list of historical component lists for the FTSE AIM Index as well as other indices? I see that there is a page for data sources here, but that page does not contain what I am ...
1
vote
0answers
58 views

A question about pricing convertible bond with two different underlying assets

I have a question regarding the pricing of convertible bond. If I value the convertible bond with two different underlying assets, how can I incorporate two volatility and the correlation in the ...
4
votes
1answer
177 views

Ornstein versus AR(1) for modeling stationary data

I've come across several posts regarding parameter estimation for O-U models given some stationary data (say, some sort of mean reverting spread), but I can't seem to find an answer as to why modeling ...
4
votes
3answers
303 views

Volatility arbitrage - how is the profit extracted?

Is there any paper that describes in detail how the profit is extracted in directional volatility bet (vol arb)? I mean in the case that I bet the realized volatility will be lower than currently ...
3
votes
1answer
94 views

Hidden Markov Models methods for selecting optimal number of states

Package RHmm (R) I have a vector which I fit into a hmm model in an attempt to select an optimal number of states for a hidden markov model. ...
0
votes
1answer
65 views

Close price or adjclose price to calculate volatility?

To calculate volatility, which price in FTSE table is used? When do we use close price for calculating volatility? Do we use adjclose (adjusted close price) for calculating volatility as well? when ...
2
votes
0answers
108 views

What happened to Mountain View Analytics?

I stumbled over Thomas Cover's work on algorithmic portfolio selection; apparently, an outfit called "Mountain View Analytics" attempted to implement the suggestions from Cover's research. ...
1
vote
0answers
47 views

Quantitative method to select tactical bands for asset allocation

Do you know a study with a methodology for selecting tactical bands (or the allowed deviation from a strategic asset allocation)? Thanks
1
vote
0answers
56 views

Distribution of Brownian Bridge

I know from Karatzas & Shreve (1991) that a Brownian Bridge $B(t)$ from $a$ to $b$ on time interval $[0,T]$ satisfies: $B(t)=a(1-t/T) + b*t/T + [W(t) - W(T)*t/T]$, where $W(t)$ is a standard ...
-1
votes
1answer
145 views

Option pricing within the Black Scholes model

Have a question regarding regular option pricing. In the standard Black-Scholes model, with interest r and volatility $\sigma$. Determine the arbitrage free price at t of an option which at $T>t$ ...
1
vote
0answers
43 views

Distribution of minimum of hazard functions

Suppose I have two random variables, $X_1$ and $X_2$, that are independent (but not identically distributed) and assume both have hazard functions $\lambda_1(s)$ and $\lambda_2(s)$, for $s > 0$. ...
0
votes
0answers
25 views

How to drive simple european put price under Gabillon 2-factor model?

Can someone explain to me for a Simple European Put payoff P(S,T) = max(K-S,0)), how to get simulation and calibration models using analytical approaches, binomial and trinomial trees, multi-factor ...
4
votes
0answers
73 views

Does GARCH derived variance explain the auto-correlation in a time series?

Given a time series of $u_i$ returns where i=1 to t. $\sigma_i$ is calculated from GARCH(1,1) as $\sigma_i^2=w+\alpha u_{i-1}^2 +\beta \sigma_{i-1}^2$ . What is the mathematical basis to say that ...
-3
votes
1answer
70 views

What's the disadvantage of ARMA-GARCH model?

I want to ask why ARMA-GARCH is more and more popolar, and what's the advantage of this model.
3
votes
1answer
123 views

Estimating Beta from unevenly spaced price history

I have a certain non-stock asset that has 1 transaction every 1 to 8 months. I also have a price index of that class of asset compiled by another party on monthly basis. If I regress $price = \alpha' ...
2
votes
0answers
61 views

Effective simulation of multi factor Heston model

Im looking for a quick way (as in runs quick, not necessarily is quick to implement) of simulating multiple square root processes for a stochastic volatility model, flexible enough to allow for ...
1
vote
1answer
334 views

GARCH model and prediction

I have a question about the prediction of volatility and returns of a time series. Basically it is a question about prediction in the ...
2
votes
2answers
110 views

When can a derivative be considered to be path dependant?

The typical example of path dependant derivatives are knock-ins and knock-outs. At the same time vanilla American options can also be considered to be highly path dependant. Does a more or less ...
5
votes
1answer
102 views

Attribution of unusual persistence in noncompetitive TAQ quotes levels?

I am looking at one day of AAPL quotes (3 Dec 2012) from TAQ to examine quote-based high frequency vol estimators. However, I found that a number of exchanges, when quoting noncompetitively, seem to ...
1
vote
2answers
123 views

How to calculate the expected value of a function of a standard brownian motion (Wiener process)

Have a problem regarding the expected value of the Wiener process inside a function, namely: Compute $E[cos(W_t)]$. To extend my question, what is the general method of computing these E´s when it ...
0
votes
0answers
24 views

Real returns vs. inflation as an independent variable

Assume a model like this, basically explaining stock market returns with a bunch of stuff: ...
3
votes
2answers
103 views

Effects of Fund manager reputation, track record, and skill on funds returns and capital flows

I am compiling a list of all studies that examine the effects of fund manager reputation, track record and skill on fund returns and capital flows across both mutual funds and hedge funds. The purpose ...
3
votes
1answer
170 views

GARCH(1,1) good fit found, how to predict one day volatility ahead?

I used SPY data to fit GARCH(1,1) in my model. My data starts from Jan, 2000 until Dec, 2013. I compared the volatility using runSD on the 21 rolling window and GARCH(1,1). It looks a pretty good fit ...
2
votes
1answer
208 views

Calculating instantaneous forward rate from zero-coupon yield curve

I have a big dataset containing zero-coupon bond yields with different relative maturities. I fix a time horizon on my dataset and I want to calculate instantaneous forward rate. I'm going to write ...
0
votes
1answer
59 views

What are the good book to understand economics? [closed]

I am currently studying managerial economics by W. Bruce Allen. The book is good. Are there any good book with quizzes , that makes economics sweeter? Books that relate to real world facts and figure ...
1
vote
1answer
52 views

“Equivalent” data sets despite different numbers

Are the historical data sets of short term treasury bill rates considered the same as the historical data sets of savings account interest rates because by definition they are both risk free rates of ...
0
votes
0answers
45 views

PCA related Query

I am currently working on a project in grad school where I am using PCA Approach. I have 4 stocks. I used R to generate Eigen Values, Eigen vectors Eigen Values Number Value Diff ...
1
vote
1answer
64 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?

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