Question: 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

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 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.

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