Bond valuation problems must be solved using the $$percent of PAR$$ method. DO NOT assume the value of the bond is $$1000.$

$1.$ A $30-$year $6\mathrm{.}500\%$ semi$-$annual coupon bond has a tenor of $17$ years and a yield to maturity of $7\mathrm{.}750\%.$ In percent of PAR, what is the price of the bond today?

$2.$ A $30-$year $5\mathrm{.}500\%$ semi$-$annual coupon bond has a yield to maturity of $6\mathrm{.}900\%.$ If the current price is $90\mathrm{.}882\%$ of PAR, what must be the tenor, in years?

$3.$ A $30-$year $5\mathrm{.}500\%$ semi$-$annual coupon bond has a current price of $101\mathrm{.}212\%$ of PAR. If the tenor of the bond is $18$ years, what must the yield to maturity be$?$

$4.$ If the last coupon for a semi$-$annual coupon bond was paid on April $15,2015,$ on what date will the next coupon be paid?

$5.$ If the maturity date of a semi$-$annual coupon bond is February $28,2039,$ on what date is the final coupon paid?

$6.$ If the maturity date of a semi$-$annual coupon bond is May $15,2050,$ on what date is the next$-$to$-$final coupon paid $($the one just previous to the final coupon$)?$

$7.$ A semi$-$annual coupon U$.$S$.$ Treasury bond was purchased for settlement on November $20,2017.$ The last coupon was paid on July $10,2017.$ Using the ACT$/$ACT Day count convention, answer the following questions:

a$.$ On what date will the next coupon be paid?

b$.$ How many days passed between the last coupon paid and the settlement date? $($Hint: use the DATE function in your BA II Plus calculator.$)$

c$.$ How many days are there in the current coupon period?

$8.$ A semi$-$annual coupon U$.$S$.$ Treasury bond was purchased for settlement on January $08,2012.$ The last coupon was paid on October $15,2011.$ Using the ACT$/$ACT Day count convention, answer the following questions:

a$.$ on what date will the next coupon be paid?

b$.$ how many days passed between the last coupon paid and the settlement date?

c$.$ how many days are there in the current coupon period?

$9.$ A semi$-$annual coupon Corporate bond was purchased for settlement on November $17,2017.$ The last coupon was paid on August $15,2017.$ Using the $30/360-$day count convention, answer the following questions:

a$.$ on what date will the next coupon be paid?

b$.$ how many days passed between the last coupon paid and the settlement date?

c$.$ how many days are there in the current coupon period?

$10.$ A semi$-$annual coupon Corporate bond was purchased for settlement on February $22,2013.$ The last coupon was paid on October $25,2012.$ Using the $30/360-$day count convention, answer the following questions:

a$.$ on what date will the next coupon be paid?

b$.$ how many days passed between the last coupon paid and the settlement date?

c$.$ how many days are there in the current coupon period?