$$Medical Arts Hospital$$s board of trustees is considering the addition of a comprehensive medical testing laboratory. In the past, the hospital has sent all blood and tissue specimens to Diagnostic Testing Services, an independent testing service. The hospital$$s current contract with the testing service is due to expire, and the testing service has offered a new $10-$year contract. Under the terms of the new contract, Medical Arts Hospital would pay Diagnostic Testing Services a flat fee of $$80,000$ per year plus $$20$ per specimen tested. Since Medical Arts Hospital does not have its own comprehensive testing lab, the hospital staff is forced to refer some types of cases to a nearby metropolitan hospital. If Medical Arts Hospital had its own lab, these cases could be handled in$-$house. Medical Arts Hospital$$s administrator estimates that the hospital loses $$100,000$ per year in contribution margin on the cases that currently must be referred elsewhere. The proposed new lab would not require construction of a new building, since it would occupy space currently used by the hospital for storage. However, the hospital then would be forced to rent storage space in a nearby medical building at a cost of $$30,000$ per year. The equipment for the lab would cost $$625,000$ initially. Additional equipment costing $$300,000$ would be purchased after four years. Due to the rapid technological improvement of medical testing equipment, the equipment would have negligible salvage value after $10$ years. Staffing the lab would require two supervisors and four technicians. Annual compensation costs would run $$40,000$ each for the supervisors and $$30,000$ each for the lab technicians. Fixed operating costs in the lab would be $$50,000$ per year, and variable costs would amount to $$10$ per medical test. Medical Arts Hospital requires $20,000$ tests per year. The capacity of the lab would be $25,000$ tests per year. Medical Arts Hospital$$s administrator believes that physicians in private practice would utilize the lab$$s excess capacity by sending their own tests to Medical Arts Hospital. The administrator has projected a charge of $$20$ per test for physicians in private practice. Medical Arts Hospital$$s hurdle rate is $12$ percent. Use Appendix A for your reference. $($Use appropriate factor$($s$)$ from the tables provided.$)$Required: Using the total$-$cost approach, fill in the following table to calculate the net present value of a new contract with Diagnostic Testing Services and the net present value of establishing a lab in$-$house. $($Round your "Discount Factor" to $3$ decimal places. Negative amounts should be indicated by minus sign.$)$ How to calculate the discount factor???