This article recommends five less commonly cited reading choices for people preparing for quantitative finance roles. The list spans mathematical finance, continuous-time arbitrage and derivative pricing, career accounts from practitioners, evaluation of…
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10 documents
This article surveys career paths in systematic trading and explains how roles differ across buy-side and sell-side firms. Buy-side organizations invest on behalf of clients or their own accounts, with analysts, traders, and portfolio managers contributing…
This note extends the one-step binomial option model from zero interest rates to a positive continuously compounded risk-free rate. It bounds the stock’s possible up and down prices around risk-free growth, then chooses a risk-neutral probability that makes…
The article derives a no-arbitrage value for a call by constructing a portfolio that combines a long position in the underlying stock with a short call. In its example, the stock starts at 100 and can finish at either 110 or 90; a call with a strike of 100…
The document introduces linear state space models, where an underlying state evolves over time and observations provide noisy, indirect information about it. It defines the state and observation equations, their transition and measurement noise, and the…
The article classifies common systematic fund approaches by trading style and instrument. It describes trend following as holding positions while trends persist, often accepting frequent small losses in exchange for occasional large moves, and countertrend…
The document introduces replication as a third way to price a call option in a one-step binomial model, alongside hedging and risk-neutral pricing. The central method is to find a portfolio of other traded instruments whose future payoff matches the option…
The document derives the Black-Scholes partial differential equation for a European contingent claim whose underlying asset follows geometric Brownian motion. It applies Ito’s lemma to express the option price change in terms of time, asset price, and…
The article derives risk-neutral pricing for a call option in a one-period, two-state stock model. The stock starts at 100 and can finish at 110 or 90, while the call has a strike of 100. Using the option value established by a preceding no-arbitrage hedge,…
The document extends one-step binomial option pricing to a two-step stock tree, where the initial price of 100 can move through intermediate values of 105 or 95 and finish at 110, 100, or 90. It works through a call with strike 100, determining values at…