Please show the appropriate formula and calculations for the following:                                                                                                                                                Rare Agri-Products Ltd. is considering a new project with a projected life of seven (7) years. The project falls under the government’s subsidy program for encouraging local agricultural products and is eligible for a one-time rebate of 25% on any initial equipment installed for the project. The initial equipment (IE) will cost $41,000,000. At the end of year 1, An additional equipment (AE) costing$3,500,000 will be needed at the end of year 3. At the end of seven (7) years, the original equipment, IE, will have no resale value but the supplementary equipment, AE, can be sold for $50,000. A working capital of $1,350,000 will be needed.  The project is forecast to generate sales of agri-products over the seven years as follows: Year 1 - 70,000 units Year 2  - 100,000 units Years 3-5  - 250,000 units Years 6-7  - 325,000 units  A sale price of $150 per unit for the first two years is expected and then declines to $90 per unit thereafter as the newness of the product loses some sheen. The variable expenses will amount to 30% of sales revenue. Fixed cash operating expenses will amount to $1,100,000 per year. The company falls in the 25% tax category for ordinary income and 40% tax category for capital gain. The initial equipment is depreciated as per the 7-year MACRS system and the additional equipment is depreciated on a straight-line basis. In the event of a negative taxable income, the tax is computed as usual and is reported as a negative number, indicating a reduction in loss after tax. The initial financing of the project will be carried out as follows:-55% equity and 45% debt. The company paid $1.50 per share in the form of dividend this year, which is likely to increase at a rate of 3% per year for the near future. The current price of the company’s stock is $9.50 per share. The bank loan is likely to be arranged at an interest rate of 13.5% p.a. You are required to: 1. Compute the appropriate rate for discounting the cash flows of the project 2. Compute the initial investment required 3. Compute the earnings before taxes for years 1 through 7 4. Compute the earnings after taxes for years 1 through 7 5. Compute the OCF for years 1 through 7 6. Compute the Terminal cash flow7. Compute the FCF for years 1 through 7 8. Compute the NPV and IRR 9. Should the project be accepted?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Please show the appropriate formula and calculations for the following:                  
                                                                                                                              
Rare Agri-Products Ltd. is considering a new project with a projected life of seven (7) years. The project falls under the government’s subsidy program for encouraging local agricultural products and is eligible for a one-time rebate of 25% on any initial equipment installed for the project. The initial equipment (IE) will cost $41,000,000. At the end of year 1, An additional equipment (AE) costing
$3,500,000 will be needed at the end of year 3. At the end of seven (7) years, the original equipment, IE, will have no resale value but the supplementary equipment, AE, can be sold for $50,000. A working capital of $1,350,000 will be needed. 
 
The project is forecast to generate sales of agri-products over the seven years as follows:

Year 1 - 70,000 units 
Year 2  - 100,000 units 
Years 3-5  - 250,000 units 
Years 6-7  - 325,000 units 

A sale price of $150 per unit for the first two years is expected and then declines to $90 per unit thereafter as the newness of the product loses some sheen. The variable expenses will amount to 30% of sales revenue. Fixed cash operating expenses will amount to $1,100,000 per year.

The company falls in the 25% tax category for ordinary income and 40% tax category for capital gain.

The initial equipment is depreciated as per the 7-year MACRS system and the additional equipment is depreciated on a straight-line basis. In the event of a negative taxable income, the tax is computed as usual and is reported as a negative number, indicating a reduction in loss after tax.

The initial financing of the project will be carried out as follows:-
55% equity and 45% debt. The company paid $1.50 per share in the form of dividend this year, which is likely to increase at a rate of 3% per year for the near future. The current price of the company’s stock is $9.50 per share. The bank loan is likely to be arranged at an interest rate of 13.5% p.a.


You are required to: 
1. Compute the appropriate rate for discounting the cash flows of the project 
2. Compute the initial investment required 
3. Compute the earnings before taxes for years 1 through 7 
4. Compute the earnings after taxes for years 1 through 7 
5. Compute the OCF for years 1 through 7 
6. Compute the Terminal cash flow
7. Compute the FCF for years 1 through 7 
8. Compute the NPV and IRR 
9. Should the project be accepted?

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