Question

In: Finance

A firm is considering the introduction of a new automatic machine. The estimated costing data for...

A firm is considering the introduction of a new automatic machine. The estimated costing data for this project
are shown below.
Initial cost of the machine $240,000
Planning horizon 4 years
Salvage value after 4 years nil
Income $100,000 p.a.
Operational & maintenance cost $20,000 p.a.
MARR 10% p.a.
Economic assessment method NPV
The firm is confident about the estimated values of the initial cost and salvage value, but it feels that the
income and the operational cost are subject to error.
a. Express NPV as a function of x (% change in operational cost) and y (% change in income) and plot y as
a function of x. Comment on the result.
b. If there is no error with operational cost, what is the maximum percentage change in annual income
before the project becomes unviable?
c. If there is no error with annual income, what is the maximum percentage change in operational cost
before the project becomes unvi

Solutions

Expert Solution

Based on the given data, pls find below workings:

(a) Based on the below workings: NPV is $ 13589 and since the NPV is positive, this is a feasible and recommended project.

(b) Considering no error in operational cost, at 95.7% of the current revenue situation, the project shall become unviable (NPV shall become zero);

(c) Considering no error in the revenue, at 121.4% of the current operating cost situation, the project shall become unviable (NPV shall become zero);

The above limits are derived using GOAL SEEK option as well as using DATA TABLE option (Sensitivity Analysis) in EXCEL below;

SHOW FORMULA OPTION:


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