A $$50,000,8\%$ bond with semi$-$annual coupons is purchased three years before maturity. Calculate the discount or premium if the bond is sold to yield $10\mathrm{.}5\%$ compounded semi$-$annually.

Select one:

a$.$ $$3,147\mathrm{.}10$

b$.$ $$2,735\mathrm{.}58$

c$.$ $$5,327\mathrm{.}85$

d$.$ $$2,537\mathrm{.}85$

e$.$ $$4,237\mathrm{.}85$