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A company issues a 15-year $6500 bond, redeemable at 99 with bond interest at j4 = 6%
A company issues a 15-year $6500 bond, redeemable at 99 with bond interest at j4 = 6%. The bond is callable at the end of 5 years for $4830 or at the end of 10 years for $6405. Determine the price to guarantee the investor a yield of j4 = 11%.
Expert Solution
Bond coupon =$6500*6%
= $390
Redemption price after 15 years if the bond is not called will be:
= 6500*99/100
= $6435
Price after 5 years;
Price = 390/ 0.11* (1-1 /1.11^ 5)+ 4830/1.11^ 5
=$4307.77
Price after 10 years;
Price = 390/ 0.11* (1-1 /1.11 ^10)+ 6405/1.11^ 10
=$4552.54
If the bond is never called price will be;
Price = 390/ 0.11* (1-1 /1.11^ 15)+6435/1.11^15
=$4149.38
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