Martha B's has total assets of $1,810. These assets are expected to increase in value to either $1,900 or $2,400 by next year. The company has a pure discount bond outstanding with a face value of $2,000. This bond matures in one year. Currently, U.S. Treasury bills are yielding 5.5 percent. What is the value of the equity in this firm

$7.24

Explanation:

PV at the risk free rate = $1,900 / (1 + 0.055)

PV at the risk free rate = $1,900 / 1.055

PV at the risk free rate = $1,800.95

Number of options needed = (2,400 - 1,900) / (400 - 0)

Number of options needed = 500 / 400

Number of options needed = 1.25

Total assets = (No of options needed*Value of equity) +  Present value at the risk free rate. Let Value of equity be C0

$1,810 = (1.25*C0) + $1,800.95

$1,810 - $1,800.95 = 1.25*C0

C0 = $9.05 / 1.25

C0 = $7.24

So, the Value of equity in this firm is $7.24.