A bond has a coupon rate of 8.2 percent, a $1,000 par value, matures in 11 years, has a yield to maturity of 7.67 percent, and pays interest annually. What is the current yield

a. 7.89%

Explanation:

Options includes "A. 7.89% , B. 8.21% , C. 8.43% , D. 7.67% , E. 8.52%"

Face value = -1000

PMT = -8.2%

n = 11.5

Market rate = 7.67%

Bond value = PV(7.76%, 11.5, -8.2%, -1000)

Bond value = $1.039.56

Current yield = 82/1,039.56

Current yield = 0.0788795259532879

Current yield = 7.89%

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer; the above statement is (true);