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You are considering the purchase of the following annually coupon paying bonds. Bond Annual coupon Reaming maturity YTM Par value A 12% 3 years 10%

  1. You are considering the purchase of the following annually coupon paying bonds.

Bond

Annual coupon

Reaming maturity

YTM

Par value

A

12%

3 years

10%

%1000

B

0%

3 years

10%

$1000

  1. calculate the fair market price of the bond A.
  2. calculate the duration of bond A using the table in below.

Time

Cash flow

PV of cash flow

weight

1

2

3

  1. Suppose YTMs of bonds A and B fall 10% to 9%
  1. In what direction will the bond prices move? Why?
  2. Which will move more. A or B? WHY?
  3. Calculate the price change of bond A using the duration calculated in 2).
  1. An investor has a horizon date of 2.5 year
  1. Which bond has lower risk? why?
  2. Neglecting default and call risk, why the chosen bond is risky to the investor? If any, what type of risk? Why?

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