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3
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2answers
159 views

Arbitrage and dominant strategies

If there is no arbitrage there is no dominant trading strategy, but there may be arbitrage opportunities even if there are no dominant trading strategies. Could you explain this statement and bring ...
3
votes
4answers
82 views

risk-neutral valuation implies no arbitrage?

It is known that in an arbitrage-free continuous time market, the price of every asset is evaluated as the corresponding price in the replicating strategy using risk-neutral valuation. I want to ...
0
votes
0answers
33 views

Law of one price in continuous time

The law of one price (i.e. for assets $S^{(i)}$ and $S^{(j)}$, $S^{(i)}_T = S^{(j)}_T $ almost surely implies that $S^{(i)}_t = S^{(j)}_t $ almost surely for all $ 0 \leq t \leq T$) is known to hold ...
4
votes
2answers
95 views

arbitrage in Heston model

Really struggling in this question: Consider a market with two assets $(B,S)$ whose price dynamics satisfy \begin{equation} dB_t = B_t r dt \end{equation} \begin{equation} \quad \quad \quad \quad \, ...
1
vote
2answers
122 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% ...
1
vote
1answer
51 views

Pricing rule shall be a martingale measure

In the book "Financial Modelling with jump processes" by Cont and Tankov there is a chapter that explains martingale pricing principles. It is not extremely formal, but gives the idea underlying the ...
-1
votes
1answer
44 views

Replicate by Arbitrage price of a forward

Given market(Mid): 1- USD Swap market (fixed for float). Float leg pays 3MLibor quarterly, act360. Fixed Leg pays annually, act360. Market is trading mid at 1.125%. 2- TIIE market. Fixed for ...
6
votes
1answer
168 views

What is the difference between market efficiency, market equilibrium, and no-arbitrage?

Aaron Brown (in the book, The Poker Face of Wall Street, p. 196), discusses four approaches to deriving the same Black-Scholes-Merton option-pricing formula: Ed Thorp, Myron Scholes, Robert ...
1
vote
1answer
33 views

Risk-free arbitrage given a volume oracle?

Given a magical oracle who can correctly predict the volume, but not the price, of a given security, does there exist a risk-free arbitrage to capitalize on this information?
2
votes
0answers
71 views

How to exploit calendar arbitrage?

Say we are looking at European Call options in a toy environment with zero deterministic intereset rates, a stock paying no dividends, no repo rates etc. Let C(T,K) be the price of a call with expiry ...
-3
votes
1answer
193 views

If I am very fast (less than 10 microseconds latency) what would be the first strategy to execute? [closed]

Let's assume I found the holy grail of low-latency trading (which I didn't). For educational purposes, what would be the first strategy I would direct my trading code?
-1
votes
1answer
228 views

Where can I find literature (books, articles, etc.) about basic HFT / arbitrage strategies? [closed]

I am not looking for your winning strategies. Just the basic stuff from where to start. Can anyone share their opinions about what should I read to hit the ground running?
2
votes
1answer
158 views

Calibrating an Ornstein Uhlenbeck process on residuals of regression

I am trying a basic statistical arbitrage strategy as follows: Perform PCA on a log return series of a basket of stocks Regress returns against top principal components identified Calculate the ...
-3
votes
2answers
310 views

What software should I use for forex arbitrage?

These are my requirements: Speed of lookup & update Speed of crunching large numbers and combinations The exchanges I want to connect to will mostly provide json feeds to their orderbooks & ...
4
votes
2answers
84 views

How does this follow from the separating hyperplane theorem?

This is from Pliskas book in mathematical finance. I do not know what was best to write the question so I included the pages from the book. He has not written what form of the separating hyperplane ...
1
vote
1answer
66 views

ADR vs Foriegn Stock Price Arbitraguers

So I am sure you all know about the whole Argentina default that has been in the papers lately, no need to delve into it. This so called "technical" default has lead some interesting investment ...
1
vote
2answers
172 views

M&A hedging an equity portfolio against an index

Quick Note This question was already posted under the userID user8170. Reason being I could not access my account. Now I am able to login to my account I am reposting the question here and will ...
1
vote
0answers
65 views

Asset true price determination, quoted on 2 exchanges

There is a stock that is quoted on 2 exchanges and I'm thinking about ideal (from market micro structure point) method for calculate true value of that asset. Assuming that venue with volume traded ...
1
vote
3answers
288 views

Is this arbitrage?

Assume the stockprice as in the Black-Scholes model (Geometric Brownian Motion): $$S_t=S_0e^{(\mu-\sigma^2/2)\cdot t+\sigma W_t}$$ Wouldn't there be an immediate arbitrage opportunity, to just buy ...
4
votes
2answers
121 views

law of one price, understanding

I am reading about mathematical finance, and I was tipsed to ask the quesiton on this site. It is about the "law of one price". Just first I'll make precise the model my book uses: I have a single ...
1
vote
2answers
128 views

Non-Negativity of up-factor and down-factor in Binomial No-Arbitrage Pricing Model

Consider a stock which is trading at $S_0$ at time $t=0$ and is expected to be trading at price $uS_0$ or $dS_0$ at time t=1 where $u$ and $d$ are up-factor and down-factor. The theory says that to ...
1
vote
3answers
146 views

Arbitrage free implies complete market?

In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition It seems that to show that the model is complete, we must show that the claims are reachable. That is, we ...
1
vote
2answers
108 views

Pricing Principle 1

In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this Pricing Principle. Is the one in red supposed to be the proof of the Pricing Principle 1? Or merely an intuitive ...
1
vote
1answer
83 views

Prove that the binomial algorithm implies the arbitrage free price at t=0 of a T-claim

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ these propositions How does the first formula follow from from the algorithm? I get that $\Pi(0;X) = V_0(0)$, but I don't ...
1
vote
2answers
91 views

Which is the correct definition of arbitrage?

Spin-off from here. In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ 2 inconsistent definitions of arbitrage, which is correct? The first definition is for the single period ...
2
votes
3answers
89 views

Inconsistent Definition of Arbitrage in Bjork?

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ what seems to be 2 inconsistent definitions of arbitrage: The first definition is for the single period Binomial model The ...
2
votes
1answer
230 views

How Much Capital is Needed to Start an Arbitrage Strategy?

I'm trying to experiment with a simulated simple arbitrage strategy. I'm not doing this to actually invest, I'm just curious if the market is inefficient enough for this to be feasible. Every ...
1
vote
1answer
129 views

In a Black-Scholes world, why must volatility be strictly increasing in time-to-expiration?

This question is from Rebonato's Volatility and Correlation 2nd Edition. Rebonato states that if $\sigma_T^2T$ is not strictly increasing, it would be simple to set up an arbitrage. Unfortunately ...
3
votes
1answer
177 views

Arbitragefree Pricing: Q vs. P

I read that the Fundamental Theorem of Asset Pricing states, that a market is arbitrage-free if and only if there exists an equivalent martingale measure Q, under which the discounted asset price ...
1
vote
1answer
86 views

Arbitrage Strategy Proof in Bjork

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition Proposition 2.9 Suppose that a claim X is reachable with replicating portfolio h. Then any price at t=0 of ...
0
votes
0answers
53 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 ...
6
votes
3answers
633 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
102 views

Pricing of a simple contingent claim

Earlier I had the question (5.11 Tomas Bjork): $$ \frac{\partial F}{\partial t}+\frac{1}{2}x^2\frac{\partial^2 F}{\partial t^2}+x = 0 $$ $$ F(T,x) = ln(x^2) $$ And solve it using Feynman-Kac. The ...
2
votes
1answer
87 views

Why is the LIBOR-market model free of arbitrage?

Recently I have been reading a lot on the market models. One thing that keeps escaping me - why is the Libor-market model (LMM) assumed to e free of aritrage in continuous time ? To me this means ...
1
vote
2answers
101 views

Harnessing small correlations for reliable profit

It is said that Edward O. Thorp was able to harness small correlations for reliable financial gain. I've seen some strategies based on strong correlations which did not seem particularly reliable. ...
0
votes
0answers
69 views

EMM in incomplete markets

The simply put question is as follows: do we need to restrict ourselves to EMM exclusively when pricing European contingent claims (=option payoffs) even if markets are incomplete? In particular, a ...
1
vote
1answer
89 views

Simple pricing example confusion

This it taken from "Heard on the Street", Section B. Consider a market with $0$ risk-free rate, no transactions costs etc. The IBM stock costs \$75 and does not pay dividends. Design a security ...
0
votes
3answers
468 views

Trading spot volatility

I am reading a paper that very briefly talks about some volatility arbitrage strategies. It's so brief that I do not exactly understand how it works. It says one of the strategy is based on "short ...
0
votes
0answers
59 views

Log returns vs. prices

I am currently working on a stat arb that is giving me a little bit of trouble. I'm under the impression that most stat arbs are going to use prices such that we can choose a ratio N such that: Price ...
1
vote
0answers
114 views

Calculating index arbitrage

I have a days-worth of level 2 market data. I am calculating S&P500 index arbitrage. I have a few questions about the calculation: 1) Should I be summing all the bids and asks from the stocks ...
1
vote
1answer
204 views

Derivation of the Nelson-Siegel model and proof of arbitrage

1. I am looking for a derivation of the Nelson-Siegel model $y(m)=a+b\left( \frac{1-e^{-\lambda m}}{\lambda m}\right)+c\left( \frac{1-e^{-\lambda m}}{\lambda m} -e^{-\lambda m} \right)$ It is ...
3
votes
0answers
52 views

FTAP in the model independent case, paper by Schachermayer

I have a question about the following paper by Beatrice Acciaio, Mathias Beiglböck, Friedrich Penkner, Walter Schachermayer. At the very beginning of the paper, on page 3, there are two definitions ...
1
vote
1answer
307 views

Arbirtage free price process question in Bjork's Arbitrage Theory in Continuous Time

I am currently working through questions in Bjork's Arbitrage Theory in Continuous Time. However, I am unable to solve the following question, 7.2 in the book. A solution would be greatly appreciated. ...
5
votes
1answer
142 views

Arbitrage with freshly issued bonds

I recently heard someone mention an arbitrage strategy involving selling freshly issued bonds and buying the "old batch" as it has shown that the liquidity in the fresh batch motivates/drives up these ...
0
votes
2answers
76 views

Calculate price of index from underlyings (weightings included)?

I have a day's worth of LSE data (FTSE100 companies) and I also have their weightings for the FTSE100. Ignoring the net present value of money, how do I calculate the current value of the FTSE? I ...
0
votes
1answer
330 views

Risk-free investment strategy for european call and put option

I have some trouble solving the following question: We have an european call and put option (with the same maturity date $T$ en strike $E=10$). The stock price now is $S=11$ and we use a continuous ...
2
votes
1answer
153 views

interest rate in cost of carry

What interest rates are used in practice in a stock index / futures arbitrage? I've seen cases, when the assumed rate is 3 months LIBOR, but does it mean, that everyone who does the arbitrage can ...
-1
votes
1answer
455 views

Calculating arbitrage- S&P 500 stocks vs S&P 500 Index future?

How exactly would I go about investigating whether the S&P 500 stocks were currently over-valued compared with the price of the S&P 500 Index futures contract? Is it just a case of taking each ...
2
votes
2answers
497 views

Index arbitrage with Options when not all underlyings have options listed?

One arbitrage strategy involves looking at the price of the Index Futures price compared with the prices of the options contracts for the underlyings. My question is, can this arbitrage strategy ...
1
vote
0answers
145 views

Example code for “Gauge Invariance, Geometry and Arbitrage” paper

This paper describes an algorithm for computing arbitrage opportunites using a gauge connetion. Has anyone written a python program or C++ or C# program that shows how to follow the steps outlines in ...