You purchase a twenty year zero coupon bond with a yield of 5%. One year later you sell the bond at a yield of 4%. What is your rate-of-return?

25.94%

Explanation:

Assume, Face value of bond =$1000

Purchase price of twenty year zero coupon bond = 1000/((1+i)^N) . Where, yield = 5% =0.05 , N= number of years to maturity =20

==> Purchase Price = 1000/(1.05^20)

Purchase Price = 1000/2.65329770514

Purchase Price = $376.89

Selling Price after one year:  1000/(1+I)^19. Where i=yield=4%=0.04, N=19

Selling Price=1000/(1.04^19)

Selling Price = 1000/2.10684917599

Selling Price = $474.64

Rate of Return = (474.64/376.89) - 1

Rate of Return = 1.25935949481281 - 1

Rate of Return = 0.2594

Rate of Return = 25.94%

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; (b) insider trading;