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Consider a 6-month European put option on a Treasury bond that currently has 8.25 years to maturity. The current cash bond price is $915, the

Consider a 6-month European put option on a Treasury bond that currently has 8.25 years to maturity. The current cash bond price is $915, the exercise price is $900, and the volatility for the bond price is 5% per annum. A coupon of $25 will be paid by the bond in three months. The risk-free interest rate is 1.5% for all maturities up to one year. Use Blacks model to determine the price of the option. Consider both the case where the strike price corresponds to the cash price of the bond and the case where it corresponds to the quoted price.

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