Question

Triad Corporation has established a joint venture with Tobacco Road Construction, Inc., to build a toll road in North Carolina. The initial investment in paving equipment is $80.6 million. The equipment will be fully depreciated using the straight-line method over its economic life of five years. Earnings before interest, taxes, and depreciation collected from the toll road are projected to be $12.7 million per annum for 20 years starting from the end of the first year. The corporate tax rate is 40 percent. The required rate of return for the project under all-equity financing is 13 percent. The pretax cost of debt for the joint partnership is 9.1 percent. To encourage investment in the country’s infrastructure, the U.S. government will subsidize the project with a $25.6 million, 15-year loan at an interest rate of 5.6 percent per year. All principal will be repaid in one balloon payment at the end of Year 15.

What is the adjusted present value of this project? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Statement showing WACC

Source of capital	Amount	Weight	K	WACC=W*K
Equity	55	0.68	13%	8.87%
Debt	25.6	0.32	5.46%	1.73%
	80.6			10.61%

Statement showing NPV

Particulars	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	NPV
Initial investment(80.6-25.6)	-55
EBIT		12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7	12.7
Less : interest(25.6*5.6%)		1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43	1.43
EBT		11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	11.27	12.70	12.70	12.70	12.70	12.70
Less tax @ 40%		4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	4.51	5.08	5.08	5.08	5.08	5.08
PAT		6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	7.62	7.62	7.62	7.62	7.62
Add: depreciation (80.6/5)		16.12	16.12	16.12	16.12	16.12
Cash flow		22.88	22.88	22.88	22.88	22.88	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	7.62	7.62	7.62	7.62	7.62
repayment of principal																-25.6
Total cash flow	-55	22.88	22.88	22.88	22.88	22.88	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	6.76	-18.84	7.62	7.62	7.62	7.62	7.62
PVIF @ 10.61%	1	0.9041	0.8174	0.7390	0.6681	0.6040	0.5461	0.4937	0.4463	0.4035	0.3648	0.3298	0.2982	0.2696	0.2437	0.2203	0.1992	0.1801	0.1628	0.1472	0.1331
Present value	-55	20.69	18.70	16.91	15.29	13.82	3.69	3.34	3.02	2.73	2.47	2.23	2.02	1.82	1.65	-4.15	1.52	1.37	1.24	1.12	1.01	55.47