a bond with 23 years to maturity is selling for $991 and has a yield of maturity of 8.12 percent. If this bond pays it coupon payments semi annually and par value is 1000, what is the bonds annual coupon rate?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?