The company expects to invest approximately $$1$ million in three months in corporate

bonds. The current rate of interest is $5\mathrm{.}10\%.$ To hedge the position, the company wishes

to use $3$ year Treasury bond futures contracts trading at $9800.$ Calculate the profit or loss

from the position in futures market if in $3$ months the contracts are trading at $91\mathrm{.}900.$

a$.$ $$168334\mathrm{.}11$

b$.$ $$-16833\mathrm{.}41$

c$.$ $$-170862\mathrm{.}48$

d$.$ $$392716\mathrm{.}91$

e$.$ $$-1708624\mathrm{.}84$