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2025.26016.Finances (3)

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Using the Net Present Value (NPV) you have obtained for this project at 1 January 2026, with a required return of 5%, what should you conclude?

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Using your previous results for:

- the present value of the revenues in 2026,

- the present value of the revenues from 2027 to 2035,

- the present value of the revenues from 2036 onward, and

- the present value of all maintenance costs,

and considering an initial investment of €50,000 at 1 January 2026, compute the Net Present Value (NPV) of the project at 1 January 2026.

 

Give your answer in euros, rounded to the nearest euro.

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The first maintenance cost is €38,000 on 30 June 2026, and from then on the project incurs maintenance costs every six months, each one being 1.5% higher than the previous one, indefinitely. Assume that the required return is 5% per year, and that you work with a semiannual discount rate of i_6m = 5%/2.

 

Treat this sequence of payments as a growing perpetuity with semiannual payments. Compute the present value at 1 January 2026 of all future maintenance costs.

 

Give your answer in euros, rounded to the nearest euro.

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Using the growing perpetuity present value formula and then discounting back to 1 January 2026, compute the present value at 1 January 2026 of the revenues from 2036 onward.

Give your answer in euros, rounded to the nearest euro.

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From 2036 onward, the project generates annual revenues paid at year-end, starting with a = 140,000 € in 2036 and growing at a constant rate g = 2% per year forever. The required return is r = 5%.

 

Which of the following expressions is correct for the present value at 1 January 2026 of these revenues?

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Using the appropriate growing annuity present value formula, compute the present value at 1 January 2026 of the revenues from 2027 to 2035.

Give your answer in euros, rounded to the nearest euro.

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Which of the following expressions is correct for the present value at 1 January 2026 of the revenues from 2027 to 2035?

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Between 2027 and 2035, the project generates bimonthly revenues that are 4% higher each year than in the previous year. For valuation purposes, you approximate each year’s six bimonthly payments by a single annual payment at year-end equal to that year’s total.

 

How should this block of cash flows (from 2027 to 2035) be modeled in order to obtain its present value at 1 January 2026?

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In 2026, the project generates six bimonthly revenues of €15,000, paid at the end of every two-month period (February, April, June, August, October and December 2026).

 

Model these six payments as an ordinary bimonthly annuity, and use a 2-month discount rate of r_2m = 5%/6.

 

Compute the present value at 1 January 2026 of the revenues in 2026.

 

Give your answer in euros, rounded to the nearest euro.

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To decide whether to accept or reject this investment project, given all expected cash flows and a required return of 5% which is the most appropriate decision criterion to use?

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