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The forward curve is a function graph in finance that defines the prices at which a contract for future delivery or payment can be concluded today. For example, a futures contract forward curve is prices being plotted as a function of the amount of time between now and the expiry date of the futures contract (with the spot price being the price at time zero).
Forward contracts are very similar to futures contracts, except they are not exchange-traded, or defined on standardized assets. [7] Forwards also typically have no interim partial settlements or "true-ups" in margin requirements like futures, that is the parties do not exchange additional property securing the party at gain and the entire ...
Suppose there is constant risk-free interest rate r and the futures price F(t) of a particular underlying is log-normal with constant volatility σ. Then the Black formula states the price for a European call option of maturity T on a futures contract with strike price K and delivery date T' (with ′) is
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For example, for bond options [3] the underlying is a bond, but the source of uncertainty is the annualized interest rate (i.e. the short rate). Here, for each randomly generated yield curve we observe a different resultant bond price on the option's exercise date; this bond price is then the input for the determination of the option's payoff.
The discrete difference equations may then be solved iteratively to calculate a price for the option. [4] The approach arises since the evolution of the option value can be modelled via a partial differential equation (PDE), as a function of (at least) time and price of underlying; see for example the Black–Scholes PDE. Once in this form, a ...
For example, in gold futures trading, the margin varies between 2% and 20% depending on the volatility of the spot market. [2] A stock future is a cash-settled futures contract on the value of a particular stock market index. Stock futures are one of the high risk trading instruments in the market.
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