Let us consider a bond with $5$ years to maturity. The face value of the bond is $$1,000.$ Its coupon rate is $6\%($SEMI ANNUAL payments$).$ The price of the bond is $$970.$ What is the bond's YTM$?$

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a

$3\mathrm{.}000\%$

b

$3\mathrm{.}358\%$

c

$6\mathrm{.}000\%$

d

$6\mathrm{.}716\%$