Bond yields

Coupon payments are fixed, but the percentage return that investors receive varies based on market conditions. This percentage return is referred to as the bond's yield.

A bond's yield to maturity $($YTM$)$ refers to the rate of return expected from a bond held until its maturity date. However, the YTM equals an investor's expected rate of return under certain assumptions. Which of the following is one of those assumptions?

The probability of default is zero.

The bond is callable.

Black Sheep Broadcasting Company has $9\%$ annual coupon bonds that are callable and have $18$ years left until maturity. The bonds have a par value of $$1,000,$ and their current market price is $$950\mathrm{.}35.$ However, Black Sheep may call the bonds in eight years at a call price of $$1,060.$ What are the YTM and the yield to call $($YTC$)$ on Black Sheep's bonds?

$\backslash$table$[[$Value$],[$YTM$,],[$YTC$,]]$

The current yield on the bond is $$

If interest rates are expected to remain constant, what is the best estimate of the remaining life left for Black Sheep's bonds?

$8$ years

$18$ years

$5$ years

$13$ years

If Black Sheep Broadcasting Company issued new bonds today, what coupon rate must the bonds have to be issued at par?

$8\mathrm{.}24\%$

$9\mathrm{.}59\%$

$10\mathrm{.}46\%$

$8\mathrm{.}88\%$