Question
Mr. Smith of Happy Farms is thinking about investing in a center pivot irrigation system to irrigate 100 acres of pasture. The irrigation system costs
Mr. Smith of Happy Farms is thinking about investing in a center pivot irrigation system to irrigate 100 acres of pasture. The irrigation system costs $70,000. Mr. Smith expects that the irrigation system will increase yield and thus operating receipts by $15,000 per year but it will cost $4,000 a year to pay for electricity, maintenance, and additional labor. Mr. Smith plans on keeping the irrigation system for 4 years before replacing it with a new one and he thinks he can sell it for $50,000 at the end of 4 years. Assume that the Mr. Smith expects that the inflation rate will be 4% and that operating receipts, operating expenses, and terminal value will increase at the rate of inflation (i.e., operating receipts, operating expenses and terminal value are stated as real dollars, thus, you must convert them to nominal dollars). The bank has offered to lend Mr. Smith $60,000. The loan will be fully amortized at a 10% interest rate over six years (annual payments). Mr. Smith anticipates that his marginal tax rate over the next four years will be 20%. The IRS will allow Happy Farms to depreciate the investment using straight line over 10 years. Mr. Smith requires at least a 13% pre-tax, risk-free return on capital and a 2% risk premium on projects of comparable risk to the irrigation system. What is the present value of tax savings from depreciation? A. $70,000 B. $29,347 C. $4,252 D. $35,077 E. -$1,323 F. None of the above What is the present value of after-tax terminal value? A. $70,000 B. $29,347 C. $4,252 D. $35,077 E. -$1,323 F. None of the above What is the Net Present Value? A. $70,000 B. $29,347 C. $4,252 D. $35,077 E. -$1,323 F. None of the above What is the annual loan payment? A. $10,000 B. $13,776 C. $6,000 D. $16,000 E. None of the above What is the loan balance at the end of the third year? A. $43,669 B. $34,259 C. $52,224 D. $23,909 E. None of the above What is the tax savings from interest payments in the fourth year? A. $685 B. $3,426 C. $1,044 D. $873 E. None of the above What is the Net Cash Flow after debt flows at the end of the second year? A. -$2,024 B. $29,888 C. -$1,604 D. $1,813 E. None of the above
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