An investor is considering investing in a capital project. The project requires an outlay of £500,000 at outset and further payments at the end of each of the first 5 years, the first payment being £100,000 and each successive payment increasing by £10,000. The project is expected to provide a continuous income at a rate of £80,000 in the first year, £83,200 in the second year and so on, with income increasing each year by 4% per annum compound. The income is received for 25 years. It is assumed that, at the end of 15 years, a further investment of £300,000 will be required and that the project can be sold to another investor for £700,000 at the end of 25 years. (a) Calculate the net present value (NPV) of the project at a rate of interest of 11% per annum effective. (b) Without doing any further calculations, explain how the net present value would alter if the interest rate had been greater than 11% per annum effective. Answer: NPV would go down.

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
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An investor is considering investing in a capital
project.
The project requires an outlay of £500,000 at outset and further payments at the end of
each of the first 5 years, the first payment being £100,000 and each successive payment
increasing by £10,000.
The project is expected to provide a continuous income at a rate of £80,000 in the first year,
£83,200 in the second year and so on, with income increasing each year by 4% per annum
compound. The income is received for 25 years.
It is assumed that, at the end of 15 years, a further investment of £300,000 will be required
and that the project can be sold to another investor for £700,000 at the end of 25 years.
(a) Calculate the net present value (NPV) of the project at a rate of interest of 11% per
annum effective.
(b) Without doing any further calculations, explain how the net present value would alter
if the interest rate had been greater than 11% per annum effective. Answer: NPV would
go down.
Transcribed Image Text:An investor is considering investing in a capital project. The project requires an outlay of £500,000 at outset and further payments at the end of each of the first 5 years, the first payment being £100,000 and each successive payment increasing by £10,000. The project is expected to provide a continuous income at a rate of £80,000 in the first year, £83,200 in the second year and so on, with income increasing each year by 4% per annum compound. The income is received for 25 years. It is assumed that, at the end of 15 years, a further investment of £300,000 will be required and that the project can be sold to another investor for £700,000 at the end of 25 years. (a) Calculate the net present value (NPV) of the project at a rate of interest of 11% per annum effective. (b) Without doing any further calculations, explain how the net present value would alter if the interest rate had been greater than 11% per annum effective. Answer: NPV would go down.
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