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How do you do a capital budgeting analysis on cost savings?



I'm meant to do a capital budgeting analysis on the cost savings of a project and state the NPV and IRR of the project but I don't understand what they're asking as their yearly depriciation tax savings differ from year to year and the 5th year was split into 2 half years.How do you calculate the NPV and IRR of such a project?Thank you so much in advance.

Capital budgeting is the making of long-run planning decisions for investments in projects and programs.
It is a decision-making and control tool that focuses primarily on projects or programs that span multiple years.


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Healthy Living is a non-profit organization.
One of its goals is to improve the diagnostic capabilities of its Miami facility.
Management identifies a need to consider the purchase of new, state-of-the-art equipment.
The search stage yields several alternative models, but management focuses on one machine as being particularly suitable.

The administration next begins to acquire information to do more detailed evaluation.
The required net initial investment consists of the cost of the new machine ($245,000) plus an additional cash investment in working capital (supplies and spare parts) of $5,000.
Management expects the new machine to have a three-year useful life and a $0 terminal disposal price at the end of the three years.

This proposed investment will yield net cash savings of $125,000, $130,000, and $110,000 over its life.
The working capital investment of $5,000 is expected to be recovered at the end of year 3.
Operating cash flows are assumed to occur at the end of the year.


Management also identifies the following nonfinancial quantitative and qualitative benefits of investing in the new diagnostic machine.
Improved diagnoses and patient care
Reduced inconvenience of transporting patients to other facilities for diagnoses


Nonfinancial benefits are not incorporated into the analysis.
In the selection stage, management must decide whether Healthy Living should purchase the new machine.
Assume that the required rate of return for Healthy Living is 10%.


Discounted cash-flow (DCF) methods measure all expected future cash inflows and outflows of a project as if they occurred at a single point in time.
The discounted cash-flow methods incorporate the time value of money.


There are two main DCF methods:
Net present value (NPV) method
Internal rate-of-return (IRR) method

The NPV method computes the expected net monetary gain or loss from a project by discounting all expected cash flows to the present point in time, using the required rate of return.
Management鈥檚 minimum desired rate of return is also called the discount rate, hurdle rate, required rate of return, or cost of capital.

Only projects with a zero or positive net present value are acceptable.
What is the the net present value of the diagnostic machine?

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