You recently purchased a $10$ year $6\mathrm{.}5\%$ coupon corporate bond that can be called in $5$ years at $$1050.$ The bond pays the coupon semiannually and you purchased it with a yield to maturity of $7\mathrm{.}25\%.$ In order for the bond to be called, how much must the yield to maturity change in order for the issuer to consider calling the bond?

Fall by about $100$ basis points$(1\%)$

Increase by about $100$ basis points$(1\%)$

Fall by about $50$ basis points$(0\mathrm{.}5\%$

Increase by about $50$ basis points $(0\mathrm{.}5\%)$