You have the following information about Burgundy Basins, a sink manufacturer.
Equity shares outstanding | 20 | million | |
Stock price per share | $ | 30 | |
Yield to maturity on debt | 7.5 | % | |
Book value of interest-bearing debt | $ | 320 | million |
Coupon interest rate on debt | 3.5 | % | |
Market value of debt | $ | 200 | million |
Book value of equity | $ | 320 | million |
Cost of equity capital | 10.0 | % | |
Tax rate | 35 | % | |
Burgundy is contemplating what for the company is an average-risk investment costing $20 million and promising an annual ATCF of $4.0 million in perpetuity.
a. What is the internal rate of return on the investment? (Round your answer to 2 decimal places.)
b. What is Burgundy's weighted-average cost of capital? (Round your answer to 2 decimal places.)
a) computation of Internal rate of return (IRR) | ||||||||
IRR is the discount rate at which Net Present Value (NPV) is zero. | ||||||||
Present Value of perpetuity is simply C/r, wherein C is the same cash flow every year and r is the discount rate. | ||||||||
If we equate this Present Value to the initial investment, then the NPV becomes zero, and, thus, the r comes to be known as IRR. | ||||||||
Thus, simply, IRR=C/initial investment | ||||||||
IRR=0.4/20 | ||||||||
IRR= 2% | ||||||||
b) Computation of weighted average cost of capital ('WACC') | ||||||||
The WACC can be computed by taking book value of weight or market value of weight | ||||||||
Computation of WACC by taking market value of weigh | ||||||||
Capital | Amount ($) | Rates | Tax impact | Rates after tax | Weight | WACC | ||
Market value of equity shares | 600 | 10 | 10 | 0.75 | 7.50 | |||
Market value of interest bearing debt | 200 | 7.5 | 2.625 | 4.875 | 0.25 | 1.22 | ||
Total | 800 | 1 | 8.72 | |||||
Computation of WACC by taking book value of weigh | ||||||||
Capital | Amount ($) | Rates | Tax impact | Rates after tax | Weight | WACC | ||
Book Value of equity shares | 320 | 10 | 0 | 10 | 0.5 | 5.00 | ||
Book value of interest bearing debt | 320 | 7.5 | 2.625 | 4.875 | 0.5 | 2.44 | ||
640 | 1 | 7.44 | ||||||
Market value of equity shares | ||||||||
No of equity shares (in million) | 20 | |||||||
Market value of shares ($) | 30 | |||||||
Market value of Equity share capital | 600 | |||||||
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