Math Problem Statement
Solution
The problem involves calculating the Net Present Value (NPV) for a project based on its cash flows over 5 years, with an additional initial investment and a discount rate of 12%.
Here’s the breakdown:
- Initial investment at the beginning: Rs. 12,00,000
- Additional investment in year 1: Rs. 3,00,000
- Scrap value at the end of year 5: Rs. 1,20,000
- Cash inflows over 5 years:
- Year 1: Rs. 2,00,000
- Year 2: Rs. 3,00,000
- Year 3: Rs. 6,00,000
- Year 4: Rs. 8,00,000
- Year 5: Rs. 3,00,000
The discount rate is 12%.
Steps to calculate NPV:
- Calculate the present value of each cash inflow using the discount rate of 12%.
- Calculate the present value of the scrap value in year 5.
- Add these present values.
- Subtract the initial and additional investment to determine the NPV.
I will now compute this.The Net Present Value (NPV) of the project is Rs. 91,531.48.
Since the NPV is positive, it indicates that the project is expected to generate more cash inflows than the total investment (including the additional investment in year 1), making it a viable investment.
Would you like more details or have any further questions?
Here are 5 related questions for further exploration:
- How does the NPV change if the discount rate is increased to 15%?
- What is the impact on NPV if the cash inflows are delayed by one year?
- How would you calculate the Internal Rate of Return (IRR) for this project?
- What happens to the project viability if the scrap value is reduced to Rs. 50,000?
- How do we account for inflation when calculating NPV?
Tip: Always compare the NPV to other projects when deciding which one to invest in, as higher NPV projects tend to be more profitable.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Net Present Value (NPV)
Cash Flow Analysis
Discounting
Formulas
NPV = Σ (Cash Inflow / (1 + r)^t) - Initial Investment
Present Value = Cash Inflow / (1 + r)^t
Theorems
Time Value of Money
Suitable Grade Level
Undergraduate Level - Finance/Economics
Related Recommendation
Calculate Net Present Value (NPV) for Project Investment | Example
Net Present Value Calculation for a Project at 15% Discount Rate
Calculate the NPV of a Five-Year Project with an 8% Discount Rate
NPV Calculation for Investment in Plastic Stamping Machine with 9% Discount Rate
Net Present Value Calculation for a Project with Cash Flows