# All Questions

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
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 ...
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.
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 ...
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 ...
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 ...
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 ...
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?
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 - ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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. ...
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 ...
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. ...
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
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 ...
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 $T>t$ ...
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 $s > 0$. ...
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 ...
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 ...
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.
123 views

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: ...
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 ...
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 ...
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 ...
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 ...
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 ...
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?