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.