Consider a firm F that generates a single cash flow in one year which depends on the state of the economy:
-Boom (probability 1/2) 5m -Recession (probability 1/2) 1m
-F has 2,000 bonds outstanding with a face value of $1,000 and a 6% coupon, one-year maturity.
-There are no taxes, and the risk-free rate is 3%
-F has 1m cash at the beginning of year 1.
-F’s cost of debt is 4% regardless of the payout policy they choose.
-F can distribute at the beginning of year 1 either 70% of its cash or 30% of its cash. The cash retained by the firm is invested at a risk-free rate.
-Stockholders invest the dividend they receive at the beginning of year 1 at the risk-free rate as well.
Question:
Suppose that the market value of the bonds are 2m regardless of the payout policy chosen. The required return on the firm’s assets is 10%, and the required return on equity if the firm had zero cash is 12%. Which of the two payout policies will the firm’s shareholders optimally undertake and why?
Consider a firm F that generates a single cash flow in one year which depends on the state of the economy:
-Boom (probability 1/2) 5m -Recession (probability 1/2) 1m
-F has 2,000 bonds outstanding with a face value of $1,000 and a 6% coupon, one-year maturity.
-There are no taxes, and the risk-free rate is 3%
-F has 1m cash at the beginning of year 1.
-F’s cost of debt is 4% regardless of the payout policy they choose.
-F can distribute at the beginning of year 1 either 70% of its cash or 30% of its cash. The cash retained by the firm is invested at a risk-free rate.
-Stockholders invest the dividend they receive at the beginning of year 1 at the risk-free rate as well.
Question:
Suppose that the market value of the bonds are 2m regardless of the payout policy chosen. The required return on the firm’s assets is 10%, and the required return on equity if the firm had zero cash is 12%. Which of the two payout policies will the firm’s shareholders optimally undertake and why?