Question

Wilson Dover Inc. The total value (debt plus equity) of Wilson Dover Inc. is $500 million and the face value of its 1-year coupon debt is $200 million. The volatility (σ) of Wilson Dover's total value is 0.60, and the risk-free rate is 5%. Assume that N(d1) = 0.9720 and N(d2) = 0.9050. Refer to the data for Wilson Dover Inc. What is the yield on Wilson Dover's debt? a. 7.05% b. 6.04% c. 6.70% d. 7.42% e. 6.36%

Answer 1

7.42%

Step-by-step explanation:

Value = 500 million

Amount of debt = 200 million

Time = year

Volatility = 6%

Risk free rate = 0.05

Nd1 = 0.9720

Nd2 = 0.9050

We have to calculate the value =

500 - (500 x 0.9720 - 200 x e^-0.05 x 0.9050)

= 186.17 million

We now calculate the yield

(200/186.17)^1 - 1

= 0.0742

= 7.42%