A bond with 15 detachable warrants has just been offered for sale at $1,000.00 . The bond matures in 25 years and pays a semi-annual coupon of $50 ($25.00 each six months). Each warrant gives the owner the right to purchase two shares of stock in the company at $45.00 per share. Ordinary bonds (with no warrants) of similar quality are priced to yield 7.00 percent. What is the value of one warrant

$15.64

Explanation:

first we must determine the market value of the bond without the warrants:

PV of face value = $1,000 / (1 + 3.5%)⁵⁰ = $179.05

PV of coupon payments = $25 x 23.45562 (PV annuity factor, 3.5%, 50 periods) = $586.39

market value = $765.44

the market value of the 15 warrants = $1,000 - $765.44 = $234.56

market value per warrant = $234.56 / 15 = $15.64

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explanation: