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40#
发表于 2012-4-3 14:47
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At time = 0, for a put option at exercise price (X) on a newly issued forward contact at FT (the forward price at time = 0), a portfolio with equal value could be constructed from being long in: A)
| the underlying asset, long a put at X, and short in a pure-discount risk-free bond that pays X – FT at option expiration. |
| B)
| a risk-free pure-discount bond that pays FT – X at option expiration and long in a put at X. |
| C)
| a call at X and long in a pure-discount risk-free bond that pays X – FT at option expiration. |
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Utilizing the basic put/call parity equation, we're looking for a portfolio that is equal to the portfolio mentioned in the stem (a put option). The put-call parity equation is c0 + (X – FT) / (1+R)T = p0. Since (X – FT) / (1+R) is actually just the present value of the bond at expiration, the relationship can be simplified to long call + long bond = put. |
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