$13.($Net present value calculation$)$ Dowling Sportswear is considering building a new factory to produce aluminum baseball bats. This project would require an initial cash outlay of $$4,000,000$ and would generate annual net cash inflows of $$1,200,000$ per year for $6$ years. Calculate the project's NPV using a discount rate of $8$ percent.

Part $1$ If the discount rate is $8$ percent, then the project's NPV is $enter your response here. $($Round to the nearest dollar.$)$

$5.($Solving for ii$)$ At what annual interest rate, compounded annually, would $$510$ have to be invested for it to grow to $$1,985\mathrm{.}38$ in $11$ years?

Part $1$ The annual interest rate, compounded annually, at which $$510$ must be invested for it to grow to $$1,985\mathrm{.}38$ in $11$ years is

$6.($Present value$)$ What is the present value of $$600$ to be received $14$ years from now discounted back to the present at $10$ percent?

Part $1$ The present value of $$600$ to be received $14$ years from now discounted back to the present at $10$ percent is $enter your response here. $($Round to the nearest cent.$)$

$7.($Solving for ii$)$ Kirk Van Houten, who has been married for $21$ years, would like to buy his wife an expensive diamond ring with a platinum setting on their $30-$year wedding anniversary. Assume that the cost of the ring will be $$12,500$ in $9$ years. Kirk currently has $$4,534$ to invest. What annual rate of return must Kirk earn on his investment to accumulate enough money to pay for the ring?

Part $1$ The annual rate of return Kirk must earn on his investment to accumulate enough money to pay for the ring is enter your response here$\%.($Round to two decimal places.$)$

$8.($Solving for ii$)$ You are considering investing in a security that will pay you $$5,000$ in $29$ years. a$.$ If the appropriate discount rate is $11$ percent, what is the present value of this investment? b$.$ Assume these investments sell for $$1,387,$ in return for which you receive $$5,000$ in $29$ years. What is the rate of return investors earn on this investment if they buy it for $$1,387?$

Part $1$ a$.$ If the appropriate discount rate is $11$ percent, the present value of this investment is $enter your response here. $($Round to the nearest cent.$)$

$14.$ Carson Trucking is considering whether to expand its regional service center in Mohab, UT$.$ The expansion requires the expenditure of $$11,000,000$ on new service equipment and would generate annual net cash inflows from reduced costs of operations equal to $$2,000,000$ per year for each of the next $9$ years. In year $9,$ the firm will also get back a cash flow equal to the salvage value of the equipment, which is valued at $$1\mathrm{.}1$ million. Thus, in year $9,$ the investment cash inflow totals $$3,100,000.$ Calculate the project's NPV using a discount rate of $7$ percent.

Part $1$ If the discount rate is $7$ percent, then the project's NPV is $enter your response here. $($Round to the nearest dollar.$)$

$15.($Net present value calculation$)$ Big Steve's, makers of swizzle sticks, is considering the purchase of a new plastic stamping machine. This investment requires an initial outlay of $$110,000$ and will generate net cash inflows of $$19,000$ per year for $9$ years. a$.$ What is the project's NPV using a discount rate of $7$ percent? Should the project be accepted? Why or why not? b$.$ What is the project's NPV using a discount rate of $16$ percent? Should the project be accepted? Why or why not? c$.$ What is this project's internal rate of return? Should the project be accepted? Why or why not?

Part $1$ a$.$ If the discount rate is $7$ percent, then the project's NPV is $enter your response here. $($Round to the nearest dollar.$)$