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Saturday, 30 September 2017

Perpetual Life Corp. has issued consol bonds with coupon payments of $105. (Consols pay interest forever and never mature. They are perpetuities.)

Perpetual Life Corp. has issued consol bonds with coupon payments of $105. (Consols pay interest forever and never mature. They are perpetuities.)

a. If the required rate of return on these bonds at the time they were issued was 10%, at what price were they sold to the public?
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b. If the required return today is 12%, at what price do the consols sell?
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Explanation
Some values below may show as rounded for display purposes, though unrounded numbers should be used for actual calculations. 

a.
PV = C / r
  = $105 / 0.10
  = $1,000

b.
PV = C / r
  = $105 / 0.10
  = $875

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