Questions tagged [arbitrage]

The simultaneous purchase and sale of a financial security in order to profit from the difference in the security price during the trading activity.

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Arbitrage argument and Market Quotes [closed]

Good day, I wanted to ask for help with a question from one of my exercise sheets. For a share S the market quotes a given strike K in both european and american styles. Use an arbitrage ...
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79 views

What is arbitraging without moving assets called?

I am currently trying to arbitrage across two markets A and B. My trading strategy is as follows: if the price between A and B differs by more than X%, then go long on the lower priced market, and ...
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Best strategy to maximize Profit if no transaction cost?

I was recently in a competition which simulated real time currency trading. Teams were supposed to build bots that could request current prices of currencies, buy, or sell currencies using HTTP ...
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128 views

How does volatility affect price arbitrage?

Suppose I'm running automated classic price arbitrage on 3 currencies (let's ignore the unfeasibility of this in our day and age). We have currency pairs Gold/Silver, Silver/Bronze, and Gold/Bronze. ...
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231 views

How would you arbitrage this?

Assume it to be true that $dS = S\mu dt + \sigma(t)S dW$ where $\sigma$(t) is known. Consider a call option with expiry $T$, currently $t = 0$. For all $t \in [0,T]$, $\sigma(t) < \sigma_{impv}$ ...
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453 views

Fair price and no arbitrage

The market is arbitrage-free iff there exists an equivalent martingale measure for the discounted price process of the stock. So in a world with a finite amount of possible outcomes $\Omega$ that ...
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463 views

Different definitions of arbitrage

Consider the following setup: Let $S=\left(S_1,\ldots,S_n\right)$ be a $n$-dimensional price process and denote by $V$ its value process defined by $V_t=\phi_t\dot\ S_t$ for $t=0,\ldots,T$. In "...
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Arbitrage and completeness in multiperiod model?

Given a 2-period market with above stock price process along with a riskfree stock with a return of 5%, how do I determine whether the market is arbitrage-free and complete when I only have knowledge ...
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149 views

Arbitrage opportunity in discrete time

Say we have the following binary option $B$ on asset $S$ with strike K and expiration time T, assume also that the following relation holds at time $0$: $B > N*C(K,T)-N*C(K+1/N,T)$ Where $N$ is ...
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508 views

FX Statistical Arbitrage Strategy [closed]

I have had experience creating stat arb strategies for equities and etfs, but haven't dabbled much into FX trading. I was wondering if anyone knew any resources online they would suggest, or could ...
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How do most arbitrage opportunities account for unknown volume at a ticker price?

So, from a conceptual level, arbitrage seems quite forward... buy at one place at one price, and sell somewhere at a higher price. However, after doing some initial digging it appears to be not quite ...
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Latency Arbitrage in forex [closed]

(I've been downgraded on this question, and it's because most people don't understand what I mean. If you ever did hft arb, you will understand what I mean. If not, please do not answer) Everybody ...
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HJM model, existence of arbitrage:

The Setup: Suppose I know the yield curve of a Bond satisfies: f (0, t) = 0.04 for t ≥ 0 and f (ω, 1, t) = 0.06, t ≥ 1, ω = ω 1 , 0.02, t ≥ 1, ω = ω 2 , where Ω = {ω 1 , ω 2 } with P[ω i ] > 0, i = 1,...
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Triangular Arbitrage with CFD

I cannot understand how the triangular arbitrage fits with CFD. Assuming there is an arbitrage opportunity: EUR/USD < USD/GBP * GBP/EUR If I do this strategy: 1 Long on EUR/USD at Ask price 1 ...
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414 views

Calculating PnL from log prices

I'm backtesting a statistical arbitrage strategy. To calculate the PnL I simply use $Y(t)-Y(t+n)$ for the profit on the first leg and $\beta*X(t) - \beta*X(t+n)$ for the profit on the second leg, ...
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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 ...
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Binomial model arbitrage

I've recently started studying math finance from Shreve's Stochastic calculus text. In the binomial model, there is no arbitrage $\iff d<1+r<u$. To show that no arbitrage implies $1+r<u$, ...
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How would one sell a security that they don't own?

I am reading an article about arbitrage and it gives an example where "If you buy one unit of security B for £11 and sell two units of security A for £6 each you make a profit of £1 at t = 0$. As ...
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664 views

Violation of the call-put parity

The last price of Wells Fargo (Ticker: WFC) on Thursday, 10/26/17, was $55.62. Options with expiration 11/17/17 had following last prices: Options with expiration 11/17/17 had following last prices: ...
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481 views

Why did investors believe that Volkswagen's preference and ordinary shares would converge in price?

The second para. below confirms that "Porsche's takeover demand would target the latter [ordinaries] rather than the former [preference]." Then why did investors like Albert Bridge Capital &...
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116 views

How do you hedge your inventory when doing arbitrage?

Say I want to do arbitrage between Exchange A and Exchange B on USD/AAPL. This requires that I hold equal parts USD and AAPL. I don't want exposure to the movement in AAPL. How do I hedge my AAPL ...
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175 views

No-arbitrage arguments: how do additional fees affect futures on an index?

I am considering a fund that replicates the returns of an index minus a fee, using the following case-study my lecturer used regarding SPY: In practice, futures and forwards can be written on assets ...
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108 views

Is there arbitrage in this market?

I have an incomplete market (rows are states and columns are securities) and I need to determine if there is arbitrage, and if so, construct an arbitrage strategy. A is the payoff matrix (payoffs at ...
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97 views

What do I call the combination of two or more prices when doing arbitrage?

Suppose that I’m doing forex arbitrage between multiple currencies. A possible arbitrage strategy is to combine the currency prices in pairs and then evaluate if there is a chance to make a profit. ...
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Short sale and zero investmest strategy

Suppose I want to build a pairs trading strategy. Theory says that we can create a zero-investment portfolio by going long stock A and short-selling stock B, given a certain hedge ratio. My question ...
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721 views

FX forward rates

FX forward rate should reflect the difference in the interate in the two currencies. At the moment GBP USD is trading near 1.29. The 5 year yield for US treasuries is about 1.87% and the UK 5 year ...
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Arbitrage free smoothing of implied volatility surface, by Fengler

I'm reading this paper link and have came across the below statement. Can someone shed some light on it. "The approach we propose here builds on smoothing rather than interpolation. Therefore, the ...
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354 views

Triangular arbitrage formula error

I am struggling with a formula for calculating the above. I have been using the following example: https://www.youtube.com/watch?v=lKu2LAgEcpU ...
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113 views

Does presence of arbitrage necessarily make all derivatives have zero value?

Spin-off from: Pricing when arbitrage is possible through Negative Probabilities or something else I mean in a theoretical sense: If we have a particular market model with some fancy assumptions such ...
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69 views

When are parameters calibrated using one option type applicable to price other option types on the same underlying?

I am coding up some basic models to show prospective employers, but I am forced to guess "what is done in practice" since I don't yet work in the industry. I am implementing various ...
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143 views

Arbitrage in a Single Index Model

Simple question really, but I'm very confused by the starting point. Let's assume that we have a portfolio whose excess returns can be described by the following equation from the single index model: ...
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55 views

How to match future price from the market with the one computed with a model?

I have a future quoted in the market. Let's say $50 price. The price model of this future is : S * Exp (rate + storage - convenience - yield) How can I be sure that the model gives exactly the ...
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361 views

option call question

i have a question regarding a call option exercise i cant get my head around The price of a stock is 100, the continuously compounded risk free rate is 5%. The strike price of an european call option ...
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267 views

Taking advantage of mispricing in forwards [duplicate]

Suppose gold futures are selling at 360 in February, and 370 in April. Interest is 9% annually. Note that 360*(1+0.09*2/12)=365.4, so the April futures is overpriced. Then we can sell April and buy ...
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77 views

Valuation functional

Consider an economy with $J = 2$ assets and $S = 3$ states. The $J\times S$ payoff matrix for the two assets is $$X = \begin{pmatrix} 0 & 3 & 3\\ 1 & 1 & 0\\ \end{pmatrix}$$ and the ...
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76 views

If there is an inconsistent pricing strategy then by defintion we have strong arbitrage

Background Information: An Inconsistent pricing strategy is a self financing strategy $\phi$ with $V_T(\phi)= 0$ and $V_0(\phi) \neq 0$ A strong arbitrage is a self-financing strategy $\phi$ with $...
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473 views

Solving for r in the Black Scholes equation

Could you please correct which parts of my reasoning are wrong? Let's suppose that I know for sure that my estimate for a stock volatility is right (I have a crystal ball) and that it will be for ...
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131 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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Simple cross-rate table question

I am trying to self-study and came across this question, I am not sure how to answer this. I think I should transform all of the product's quoted prices to USD then compare them, is that correct? The ...
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128 views

SPACs - How can IPO investors incur losses?

I'm trying to understand the role of the initial IPO investors of a SPAC. From the Beginner's Guide of r/SPACs: When the IPO occurs, a SPAC generally offers Units – generally at \$10 per Unit. These ...
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Is there any data sources for historical arbitrage basis (e.g. on-the-run/off-the-run basis)?

I hope to get data going back as far as possible. Someone must have computed these things, but not sure if anyone has shared these data online? If not, if you know how I can get the data for the ...
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Hedging With Zero Coupon Bonds from The Concepts and Practice of Mathematical Finance by Mark Joshi

In section 2.5 he describes an example of arbitrage-free pricing (attached below). I have a pretty solid understanding of how we arrived at $K' = K\frac{1+d}{1+r}$, but I got a little lost when he ...
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144 views

Arbitrage between American and European put options on the same underlying asset

Suppose there exist both American-style and European-style put options on the same underlying asset, at the same strike price, and with the same expiry date. Suppose the European put is selling below ...
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116 views

Basic arbitrage exercise

In the exercise we are given, possible contracts to buy/sell and possibility to take credits / make deposits money with current market rates. We are asked if its possible to make profit at time T=0 ...
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405 views

A financial market is complete if and only iff there exists a unique equivalent martingale measure

Do you have any intuition behind the following theorem : A financial market is complete if and only iff there exists a unique equivalent martingale measure. I understand the easier version of ...
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Definition Of A Portfolio

I have very recently started studying quantitative finance on my own through a book called An Introduction To Quantitative Finance by Stephen Blythe. In chapter 6 of his book, he sets out to prove ...
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How to optimize a series of equations whose outputs are a variable of the subsequent equatinos

The basic question is, given $f(x) = y$ and $f(y) = z$, how can you find $x$ such that $z$ is at its maximum? I can optimize each equation independently, but I do not know how to optimize when ...
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234 views

Arbitrage problem [closed]

Question A share of non-dividend paying stock is trading at USD 30. The maturity of both options is 1 year from now. A put with a strike of USD 28 is trading at USD 1 and call with a strike of USD 29 ...
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178 views

Is this the same as the conditial expectation in risk neutral pricing formula?

Let the dynamic of underlying asset $S_t$ under objective probability measure $\mathbb{P}$ be as follow $$dS = \mu Sdt + \sigma S dW_t^{\mathbb{P}}.$$ We now define another probability measure $\...
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59 views

For discrete models, the existence of strong arbitrage is equivalent to a particular self-financing strategy

Background Information: This question is from Lectures on Financial Mathematics: Discrete Asset Pricing. Question: Prove that for discrete models, the existence of a strong arbitrage is also ...

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