A new computer system will require an initial outlay of $$23,000,$ but it will increase the firm$$s cash flows by $$4,900$ a year for each of the next $8$ years.

a$.$ Calculate the NPV and decide if the system is worth installing if the required rate of return is $9\%.$

NPV: $?$

Worth Installing: $?$

Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to $2$ decimal places.

b$.$ Calculate the NPV and decide if the system is worth installing if the required rate of return is $14\%.$

NPV: $?$

Worth Installing: $?$

Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to $2$ decimal places.

c$.$ How high can the discount rate be before you would reject the project?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.