Simon Pause Corporation bonds have a zero$-$coupon rate, mature in ten years, and

have a current yield to maturity of $5\%$ annual rate, compounded semiannually.

a$.$ What is the price per $$100$ of face value of Simon Pause Corporation bonds?

b$.$ Suppose in three years the market price of the bond is $66\mathrm{.}11178$ per $$100$ of face

value. What will the yield to maturity be at that time?

c$.$ Suppose you purchased the Simon Pause bond today and sold the bonds in three

years for $66\mathrm{.}11178$ per $$100$ of face value. What is your holding period yield for

this investment?