WebConsider option with expiration two periods from now. Want today’s (t=0) call option value. Rede ne: c u;c d and c 0 get new meanings. Solution extends idea of replicating portfolio. Solve problem backward in time. First: Find replicating portfolios at t= 1: { For the upper node with S 1 = uS 0. { For the lower node with S 1 = dS 0. 6 Webo Vega: change in option price when volatility increases by 1% o Theta (𝜃): change in option price when time to maturity decreases by 1 day o Rho ( ): change in option price when interest rate rises by 1% •Greek measures for portfolios o The Greek measure of a portfolio is weighted average of Greeks of individual portfolio components:
LECTURE 08: MULTI-PERIOD MODEL OPTIONS: BLACK …
Web43 rows · The Replicating portfolio method is related to a super-hedging strategy that is aimed to help investors build a profitable portfolio regardless of the market’s upward and … WebJan 19, 2024 · An investor buys a Nasdaq 100 Index call option with the following attributes: Index spot price: 13,300 Index call option premium: $100 Contract multiplier: 100 Contract cost: $10,000 ($100 x 100) Strike price: 13,700 Breakeven point: 13,800 (13,700 + $100) Nasdaq 100 Index at expiration: 14,000 graham farish by bachmann
QLBS: Q-Learner in the Black-Scholes (-Merton) Worlds
Dynamic replication is fundamental to the Black–Scholes model of derivatives pricing, which assumes that derivatives can be replicated by portfolios of other securities, and thus their prices determined. See explication under Rational pricing #The replicating portfolio. In limited cases static replication is sufficient, notably in put–call parity. An important technical detail is how cash is treated. Most often one considers a self-financing p… WebA replicating portfolio is a portfolio which will always equal V a year from now. Clearly, both the stock and the replicating portfolio must cost the same today. ... the P&L of the two positions (combo versus stock) would be approximately the same at all times. Option volatility would tend to have minimal effect since premium change would ... WebBy combining concepts of a pure dynamic option replication along with quantitative methods that account for the cost of execution (both slippage and commissions), portfolio protection can be achieved at lower cost than traditional protective put purchases. On average, a dynamic option replication approach yields the following chinagate kenneth hahn plaza