$($a$)$ Why do bond prices go down when market interest rates go up$?$ Why don't bondholders like to receive high market interest rates? $($b$)$ Describe a simple example when spot rates used to value a bond equal the bond's yield to maturity $($YTM$)?($c$)$ What is the YTM $($as APR$)$ of a $6-$month Treasury bill selling at $975$ with face $($par$)$ value $1,000?($d$)$ What is the YTM $($as APR$)$ of a $3-$year Treasury note selling at $975$ with face $($par$)$ value $1,000$ and $\backslash (5\backslash \%\backslash )$ coupon? $($e$)$ In class, we have seen data on long$-$term $($above one year maturity$)$ bond issuance from SIFMA. You can access the visualization here. Document three trends you find most interesting from the data. Note that if you select to see the data for all years, it goes back to $2000.$ You can also click on each asset class to zoom in and see issuance data of subcategory asset classes. $($f$)$ True or False. Do I need to bring to the midterm a calculator where I know I can perform calculations as done in class and homeworks?