0
votes
0answers
13 views

Are these nonstationary variables?

If I have understood correctly, computing the correlation of two nonstationary variables can lead to spurious results. For example, computing the correlation of two stock price time series would lead ...
1
vote
0answers
30 views

Total demand under logit model

The setting is simple, i.e. formula for demand of service/product is linear $$ d = \alpha - \beta p $$ where $ \alpha $ is maximum demand, $ \beta $ is some coefficient, and $ p $ is price. There ...
0
votes
0answers
23 views

How to calculate the standard deviation of a 'deviation from a moving average'?

Say I have a vector of daily price changes for an asset and calculate the standard deviation of returns in the usual way. Let's call this result A. Now assume that for the same asset I also have a ...
6
votes
2answers
175 views

Does it make sense to use upward and downward volatility in option pricing?

Historically stocks have a higher likelihood to increase in price than to fall in price. As such would it make sense to split a stocks volatility measurement into upward and downward components? For ...
0
votes
0answers
40 views

What interest rate dynamics would you suggest to simulate a single swap?

I need to calculate the Potential Future Exposure (PFE) for a single swap (not a portfolio). As far as I know, a stochastic model is needed to simulate the interest rate curves (from here). Could ...
1
vote
1answer
78 views

Black Scholes model: condition of payout function

Given: Consider a two-asset, continuous time model (B,S) where $$dB_t = B_t r dt, \quad dS_t = S_t ( \mu dt + \sigma dW_t)$$ Clearly, the martingale deflator is: $$Y_t = e^{(-r - ...
2
votes
1answer
202 views

Event studies using revenue data vs. measuring abnormal returns

This may be a silly question, but does there exist a methodology for examining the impact of "events" on companies that are not publicly traded? I suppose it would look at abnormal revenues rather ...
2
votes
2answers
226 views

What would be considered a good/competitive throughput for a FIX engine?

I am writing my own FIX engine and I am in the process of running some benchmarks. I am not sure whether my results are good or bad. Can someone with experience in the area provide me with some ...
6
votes
4answers
254 views

What are the canonical books for statistics applied to finance?

I have some decent knowledge of probability, stochastic processes and option theory, however I do not have a proper background in statistics. Now I am working quite a lot with data, and trying ...
7
votes
1answer
263 views

Girsanov Theorem and Quadratic Variation

Girsanov theorem seems to have many different forms. I've got a problem matching the form in wiki to the one in Shreve's book, due to the difficulty of quadratic variation calculation. Below is the ...
1
vote
0answers
45 views

Hot do I calculate an effective forward rate? [closed]

I have to find nominal and effective forward interest rate for 3M-9M term, knowing that current interest rates are: 3M - 2.05% 6M - 2.04% 9M - 2.03% 12M - 2.02% For a nominal interest rate I just ...
1
vote
0answers
23 views

What is the future value of a growing annuity with different periods for payment growth and monthly payments?

How can I modify the formula in this answer so that the frequency of payment growth is also a variable? For example, instead of payments growing by 2% each year I would like them to grow 2% every two ...
0
votes
0answers
43 views

Any Simple Way to Prove Black Scholes Type Identies?

A certain complicated option pricing formula results in products of Black Scholes $N$ components like this: $-p_1N(d_1)N(d_6)+p_sN(d_2)N(d_5)>?0$ where $p_s>p_1$ Trying to find a simple way ...
1
vote
2answers
127 views

Dupire model and Local Volatility model

In the context of Option pricing model. Is there a difference between the Dupire Model and the Local volatility model ? Thanks Achal
0
votes
0answers
36 views

Cost of carry for posting bonds as collateral

Cost of carry for posting bonds as collateral How do you calculate cost of carry for posting bonds as collateral?
4
votes
3answers
2k views

Mean reverting Indicator

I'm looking for an indicator which tells me if it's a good time to use mean reverting type quantitative trading strategies. In order to do so I look at the market (the few hundred stocks I trade) and ...
0
votes
0answers
73 views

Interpretation of Cointegration results, pValues and t-Stat

This is a follow up to: Cointegration results interpretation validation? I ran another Engel Granger Test on a pair, The results I get: ...
-1
votes
1answer
68 views

What's state price vector?

What is state price vector?. Please explain me in detail is difficult to understand for me.
4
votes
2answers
243 views

Some clarifications on eigenvectors and eigenvalues from PCA

Could somebody tell me whether suggestions in bold true or not? Q # 1: http://www.math.nyu.edu/faculty/avellane/AvellanedaLeeStatArb071108.pdf ...
4
votes
0answers
299 views

A model to stochastic hazard rate and CDS spread term structure

I'm interested in the term structure of CDS spread. It's known that the Market CDS rate (fair CDS spread or T-maturity spread) of a CDS contract initiated at $s$, maturity $T$ and recovery function ...
12
votes
2answers
910 views

Copula models and the distribution of the sum of random variables without Monte Carlo

There is a vast literature on copula modelling. Using copulas I can describe the joint law of two (and more) random variables $X$ and $Y$, i.e. $F_{X,Y}(x,y)$. Very often in risk management (credit ...
4
votes
1answer
109 views

Portfolio VaR with Copula?

Let the portfolio be given by: $$X=X_1+X_2$$ $(X_1,X_2)$ are dependent through a Copula function $C(u_1,u_2)$, such that the joint distribution is given by: $$F(x_1,x_2)=C(F(x_1),F(x_2))$$ What is ...
-2
votes
1answer
86 views

Modified or Macauley Duration in python

are there any existing python modules that can calculate Modified and/or Macauley Duration of a bond.
2
votes
2answers
202 views

Why doesn't Black-Scholes assume the absence of statistical arbitrage?

Both Black-Scholes and binomial model assume that there's no risk-free arbitrage in the market. But that sounds like a very weak condition. If a trading scheme makes you gain 100 dollars with 99% ...
0
votes
2answers
93 views

Is the volatility for these two SDEs the same

$$ (1) \ \ d\left(\frac{1}{S_t}\right) =\frac{1}{S_t}\left(\sigma^2-r\right)dt +\frac{1}{S_t}\sigma dW_t $$ and $$ (2) \ \ dS_t = S_t rdt + \sigma S_t dW_t $$ How can you prove that?
0
votes
1answer
161 views

Cointegration results interpretation validation?

Here is how I am interpreting results of a Johansen Cointegration Test and Engel-Granger Test for A and B. The results:(Using matlab) ...
0
votes
2answers
129 views

what volatility do we calculate using GARCH model

what volatility do we calculate using GARCH model, Historical vol or Implied vol or Future Vol or Actual vol.
0
votes
1answer
80 views

Implication of the Greeks under jump diffusion model

Consider jump diffusion model proposed by Merton and Kou. As far as i know, most paper only dealt the valuation of option under the jump diffusion model. As i expected, because of the ...
0
votes
1answer
44 views

Why vertical skew is same for puts and calls

What is the reason that the vertical volatility skew graph(decreasing IV as the strikes increase) is the same for the puts and calls? The loose explanation is because of put call parity, but I am not ...
1
vote
1answer
135 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?
1
vote
1answer
89 views

use synthetics for a pairs trading strategy

Let us say I want to pursue a pair trading strategy between stock A(long) and stock B(short). Can I replace this stocks with their synthetic option equivalents and have the same risk reward profile ...
0
votes
2answers
65 views

Shreve book II Question 4.6 Error?

I'm working through Shreve II, and on question 4.6, you are asked to compute $d(S_t^p)$ where $S_t$ = $S_0e^{\sigma W_t + (\alpha - \frac{1}{2}\sigma^2)t}$ I get the answer $pS_t^p[\sigma dW_t + ...
0
votes
0answers
49 views

Is the Volatility of the Fx Inverse process same as Fx

Let St = Fx and St(Inverse) = 1/Fx. Do both of these have same volatility and if so how would you prove it?
0
votes
0answers
7 views

Foreclosure Implications on CMO Cash Flows

I have a simple homework project where I am to create some models to value a CMO. Please make any simplifying assumptions necessary to provide an answer. Prepayment is simple to account for. This ...
0
votes
2answers
113 views

Why gamma for ATM option decreases as volatility increases

Why is the gamma for an at the money option less when volatility increases. Intuitively ,I thought that increasing volatility means more uncertainty,hence the option price will be more sensitive to ...
0
votes
1answer
82 views

What math concepts are used in designing volatility models

What topics in statistics and mathematics do I need to understand thoroughly before I can start to dabble with stochastic volatility models and volatility arbitrage?
2
votes
1answer
96 views

Hedging bond with CDS of different maturity

Say I buy a 10-year bond with a notional of 100k. To hedge my credit risk entirely I could buy a 10-year CDS, also on a notional of 100k. Now, if there are only 5-year CDS trading and no 10-year CDS, ...
1
vote
1answer
179 views

Eurdollar Futures

Trying to understand the Eurdollar market a little better. I understand it's the market for dollar denominated deposits outside the US (not just in Europe). They are unregulated and not subject to ...
4
votes
5answers
925 views

Do binary options make any sense?

Reading from "www.nadex.com" - the copy reads "Binaries are similar to traditional options but with one key difference: their final settlement value will be 0 or 100. This means your maximum risk and ...
0
votes
1answer
106 views

PCA on term structure of interest rates

Interest rate time series seems to be non-stationary whenever test is performed But covariance or correlation matrix is derived from term structure time series which are non stationary and later PCA ...
1
vote
1answer
66 views

When $C(K_2) = C(K_1)$ for call options with the same expiration date

The exercise is to show $C(K_1) \geq C(K_2)$ where C(K) denotes the value of a call option on a stock price S with strike price K. We assume the expiry is the same for both. I have proved this by ...
2
votes
1answer
673 views

How does Hanson's Market Maker (LMSR) work?

Implementing Hanson's Market Maker states: If the market maker wants to quote a "current price", he can. The current price for outcome 1 is: $$ \mbox{price1} = ...
3
votes
1answer
143 views

Different ways of portfolio optimization

There are different ways to optimize portfolios: $$ \max R^Tw\tag{1}$$ or $$ \min w^T \Sigma w\tag{2}$$ and finally using a risk tolerance $\lambda$: $$ \min{(w^T\Sigma w-\lambda R^T ...
1
vote
2answers
57 views

Where to get master list of mutual funds?

I cant seem to find a straight answer anywhere on Google for this. I would like to create a master list of all known mutual funds and their ticker symbol. Is it possible to get this data from ...
0
votes
1answer
57 views

ZSpread in multiple curve framework

how do I calculate ZSpread for a govt. bond in a multiple curve framework? I have not come across the exact details anywhere so I want to verify if I'm right. Below is my understanding, please correct ...
5
votes
1answer
452 views

What are the main flaws behind Ross Recovery Theorem?

Stephen Ross’ new paper claims that it is possible to separate risk aversions and historical probabilities if the Stochastic Discount Factor is transition independent using Perron-Frobenius Theorem. ...
1
vote
3answers
147 views

(Beginer on bond market) References on callable bond's pricing

I am searching for references on pricing callable bonds. I've not find any rigorous mathematical approach on the web. All I found was some soft approaches in a discrete framework. Edit: First of ...
2
votes
2answers
351 views

Curve Euribor - Euribor 3M

I'm setting up some Euribor 6M and Euribor 3M curves. So far i have all the data and quotes i need, but i'm having trouble defining the firsts points of the curve. I'm currently using 6M Euribor and ...
1
vote
2answers
56 views

Why IV shares an inverse relationship with underlying

Why does implied volatility usually fall when underlying rises and rises when underlying falls? Implied volatility is a length of one standard deviation. From this definition, is it possible without ...
7
votes
4answers
810 views

Software for decomposing structured products into plain vanilla products

Nowadays structured products (or packages) with complex payoff diagrams are omnipresent. Do you know of any software, add-ons, apps, code whatever, that enables you to enter a payoff diagram or a ...

15 30 50 per page