$4.$ Determine the Net Present Value $($NPV$)$ after two, five and ten years under the following

scenarios, which Rebecca Young has determined are possible after some $$due diligence$$ regarding

future real$-$estate prices in the Toronto condo market:

a$.$ The condo price remains unchanged.

b$.$ The condo price drops $10$ per cent over the next two years, then increases back to its

purchase price by the end of five years, then increases by a total of $10$ per cent from the

original purchase price by the end of ten years.

c$.$ The condo price increases annually by the annual rate of inflation of $2$ per cent per year

over the next ten years.

d$.$ The condo price increases annually by an annual rate of $5$ per cent per year over the next

ten years.