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3answers
306 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 ...
1
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1answer
41 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?
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2answers
116 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 ...
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2answers
110 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. ...
1
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1answer
90 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 ...
1
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1answer
233 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 ...
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1answer
158 views

help me compare methods to compute one instrument price from another instrument price

Assume we have two instruments A and B. Also time is increasing from 1 to n. Let's say that ...
1
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1answer
53 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
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1answer
77 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 ...
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2answers
139 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
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3answers
225 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
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1answer
107 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 ...
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2answers
121 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 ...
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1answer
133 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 ...
1
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1answer
108 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 ...
1
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1answer
374 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. ...
1
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1answer
484 views

Arbitrage between markets

I'm trying to understand how arbitrage works, but I'm having some difficulties based on some restrictions: I have markets A, B and C. The currencies that are traded are X <-> Y, and X <-> Z. ...
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0answers
23 views

Relationship between ADR in USD and original stock in GBP - Drift in price

For tax reasons, I switched a position I had in the HSBC London GBP listing into the USD ADR. The ADR represents 5 shares of the GBP listing. My understanding was that since at all times 1 ADR = 5 UK ...
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0answers
69 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
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0answers
130 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
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0answers
153 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 ...
0
votes
1answer
700 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?
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3answers
489 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 ...
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2answers
80 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 ...
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votes
1answer
459 views

main arbitrage & statistical arbitrage concepts

can we please summarise here some of the basic concepts, tools used in arbitrage and statistical arbitrage in real life? ARB: benefit from price difference on same asset ARB: difference between ...
0
votes
1answer
44 views

possible to estimate if hard-to-borrow?

I'm building a low frequency US equity stat arb system. On any given day the system is long ~100 stocks and short ~100 stocks. It trades once a day at the open, and on average 4/5 of the portfolio ...
0
votes
1answer
67 views

Forward Curves and Par Yield Curves

I'm recently reading a research paper on the yield curve by Salomon brothers and in it it states that when the forward curve is above the par yield curve, it is seen as cheaper. If for example, the ...
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0answers
35 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 ...
0
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0answers
55 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 ...
0
votes
1answer
347 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 ...
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votes
1answer
63 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 ...
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votes
1answer
493 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 ...
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votes
1answer
537 views

Tutorial for working with tick data? [closed]

Can you recommend a good tutorial for working with tick data for the purpose of algorithmic trading? Is the data normally stored in a database and only bits are read into memory at a time? Is there ...
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votes
0answers
21 views

I want to solve follow queston [on hold]

Suppose that $X$ is reachable using the portfolio $h$. Suppose furthermore that, at some time $t$, it is possible to buy $X$ at a price cheaper than (or to sell it at a price higher than) $V_t^h$ . ...
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votes
1answer
227 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?
-3
votes
2answers
531 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 & ...
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1answer
817 views

Show that convexity of call price as a function of the strike is violated [closed]

European call options with strikes 90, 100 and 110 on the same underlying asset and with the same maturity are trading for 22.50, 18.84 and 13.97 respectively. show that the convexity of the call ...