Master-Level Online Exam Preparation: Solved Sample Papers for Perfect Grades

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Sample Master-Level Exam Question 1 (Finance)

Question:
A firm is evaluating a project requiring an initial investment of $500,000. The project is expected to generate annual cash flows of $140,000 for 5 years. The firm’s cost of capital is 10%.
a) Calculate the Net Present Value (NPV).
b) Should the firm accept the project?

Expert Solution:

Step 1: Use the NPV Formula

𝑁𝑃𝑉=𝐶𝑡(1+𝑟)𝑡𝐼𝑛𝑖𝑡𝑖𝑎𝑙 𝐼𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡

Where:
𝐶𝑡=140,000
𝑟=10%=0.10
𝑡=1 to 5

Step 2: Compute Present Value of Cash Flows

Using the Present Value Annuity Factor (PVAF) at 10% for 5 years:

PVAF (10%, 5 years) ≈ 3.791

𝑃𝑉=140,000×3.791=530,740

Step 3: Calculate NPV

𝑁𝑃𝑉=530,740500,000=30,740

Conclusion:
Since NPV > 0, the firm should accept the project as it adds value to the organization.


Sample Master-Level Exam Question 2 (Operations Management)

Question:
A company operates with a demand of 10,000 units per year. Ordering cost is $200 per order, and holding cost is $5 per unit per year.
a) Calculate the Economic Order Quantity (EOQ).
b) Determine the number of orders per year.

Expert Solution:

Step 1: EOQ Formula

𝐸𝑂𝑄=2𝐷𝑆𝐻

Where:
D = 10,000 units
S = 200
H = 5

𝐸𝑂𝑄=2×10,000×2005𝐸𝑂𝑄=4,000,0005𝐸𝑂𝑄=800,000𝐸𝑂𝑄894𝑢𝑛𝑖𝑡𝑠

Step 2: Number of Orders per Year

𝑂𝑟𝑑𝑒𝑟𝑠=𝐷𝐸𝑂𝑄𝑂𝑟𝑑𝑒𝑟𝑠=10,00089411.18

Approximately 11 orders per year.


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