In: Accounting
Frusciante, Inc. has 285,000 bonds outstanding. The bonds have a par value of $1,000, a coupon rate of 6.9 percent paid semiannually, and 7 years to maturity. The current YTM on the bonds is 6.4 percent. The company also has 9 million shares of stock outstanding, with a market price of $27 per share. What is the company’s market value debt–equity ratio?
Step-1:Calculation of current value of bond | |||||||||||||
Semi annual period | Cash flow | Discount factor | Present Value | ||||||||||
1-14 | $ 34.50 | 11.1436 | $ 384.45 | ||||||||||
14 | $ 1,000 | 0.6434 | $ 643.40 | ||||||||||
Total | $ 1,027.86 | ||||||||||||
Working: | |||||||||||||
Present Value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | ||||||||||
= | (1-(1+0.032)^-14)/0.032 | i | 6.4%/2 | = | 0.032 | ||||||||
= | 11.1436 | n | 7*2 | = | 14 | ||||||||
Present Value of 1 | = | (1+i)^-n | |||||||||||
= | (1+0.032)^-14 | ||||||||||||
= | 0.6434 | ||||||||||||
Semi annual coupon interest | = | Par Value x Semi annual couopon rate | |||||||||||
= | $ 1,000 | x | 6.9%/2 | ||||||||||
= | $ 34.50 | ||||||||||||
Step-2:Calculation of selling value of total bonds | |||||||||||||
Total value of bonds | = | Total number of bonds x Selling price of a bond | |||||||||||
(Debt) | = | 2,85,000 | x | $ 1,027.86 | |||||||||
= | $ 29,29,39,817 | ||||||||||||
Step-3:Calculation of total value of Equity | |||||||||||||
Total Market value of equity | = | Number of shares x Market price per share | |||||||||||
(Equity) | = | 90,00,000 | x | $ 27 | |||||||||
= | $ 24,30,00,000 | ||||||||||||
Step-4:Calculation of company’s market value debt–equity ratio | |||||||||||||
Company’s market value debt–equity ratio | = | Market Value of Debt/Market Value of Equity | |||||||||||
= | $ 29,29,39,817 | / | $ 24,30,00,000 | ||||||||||
= | 1.21 | ||||||||||||
Thus, | |||||||||||||
Company’s market value debt–equity ratio is | 1.21 | ||||||||||||