Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Insurance Company and co$-$directors of the company$$s pension fund management division. An important new client, the North$-$Western Municipal Alliance, has requested that Mutual of Seattle present an investment seminar to the mayors of the represented cities, and Strother and Tibbs, who will make the actual presentation, have asked you to help them by answering the following..

How does the equation for valuing a bond change if semiannual payments are made? Find the value of a $10-$year, semiannual payment, $10\%$ coupon bond if the nominal rd$=13\%.$

Suppose a $10-$year, $10\%$ semiannual coupon bond with a par value of $$1,000$ is currently selling for $$1,135\mathrm{.}90,$ producing a nominal yield to maturity of $8\%.$ However, the bond can be called after $5$ years for a price of $$1,050.$

$(1)$

What is the bond$$s nominal yield to call $($YTC$)?$

$(2)$

If you bought this bond, do you think you would be more likely to earn the YTM or the YTC$?$ Why?estions.