prd Bank has a long position in $$275,000$ face value Treasury Bonds. The life of these bonds is $15$ years, but the duration is $12\mathrm{.}5$ years rate $8\%$ yield. The current market value of these bonds is $97$:$25.$ The $FI$ is taking position in the futures market in a similar asset that $000$ per contract and currently selling for $97\%$ of face value. Duration of the futures contract is $6$ years and yield is $6\mathrm{.}5\%.$ will be the net gain$/$loss from taking a position in the futures market if $R$ is $1\%?$

Multiple Choice

$$0$

$$1,050\mathrm{.}25$

$$1,233\mathrm{.}45$

$$1,666\mathrm{.}23$