Marconia, Inc. has bonds in the market currently priced reflecting a $7\mathrm{.}64\%$ YTM$.$ The face value is

$$1,000,$ the coupon rate is $6\mathrm{.}5\%$ paid quarterly, and there are $10$ years until the bond matures.

a$.$ What is the price of the bond? $($fill in the following table$)$

FV$-$

PMT$-$

N $($t$*$m$)-$

I$/$Y $($r$/$m$)-$

PV$-$

b$.$ If interest rates in the market decrease, what would happen to the price of this bond?