A $$5,000$ face value strip bond has fifteen years remaining until maturity. What is its price if the market rate of return on such bonds is $1\mathrm{.}22\%$ compounded semiannually?

a

$$4,266\mathrm{.}16$

b

$$5,166\mathrm{.}16$

c

$$4,166\mathrm{.}16$

d

$$4,366\mathrm{.}16$

e

$$4,146\mathrm{.}16$