Please show full work and do not use Excel or FInancial Calculator

$($The Lo Sun Corporation offers a $6\%$ bond with a current market price of $$875\mathrm{.}05.$ The yield to maturity is $7\mathrm{.}34\%.$ The face value is $$1,000.$ Interest is paid semiannually. How many years is it until this bond matures?

A$.16$ years

B$.18$ years

C$.24$ years

D$.30$ years

E$.32$ years