Potter & Lopez Inc. just sold a bond with 50 warrants attached. The bonds have a 20-year maturity and an annual coupon of 12%, and they were issued at their $1,000 par value. The current yield on similar straight bonds is 15%. What is the implied value of each warrant?

$3.76

Explanation:

Calculation of the implied value of each warrant

First step is to find the straight-debt value

Straight-debt value:

N = 20

I/YR = 15

PMT = −120

FV = −1000

PV = $812.22

Using this formula

Total value = Straight-debt value + Warrant value

Where,

Total value =$1,000

Straight-debt value=$812.22

Warrant=50

Let plug in the formula

$1,000 = $812.22 + 50

Second step is to find the warrant value

Warrant value= ($1,000 −$812.22)/50

=$187.78/50

=$3.7556

Approximately $3.76

Therefore the implied value of each warrant will be $3.76

b is the correct answer

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30