In order to complete a financial analysis of the buy$-$versus$-$rent decision, Young realized that her first task would be to determine the required monthly mortgage payments. Next, she wanted to determine the opportunity cost $($on a monthly basis$)$ of using the lump$-$sum required funds for the condominium purchase rather than leaving those funds invested and earning the effective monthly rate, assumed to be equivalent to the mortgage rate. She would then be able to determine additional monthly payments required to buy the condominium compared to renting, including the opportunity cost.Young wanted to consider what might happen if she chose to sell the condominium at a future date. She was confident that any re$-$sell would not happen for at least two years, but it could certainly happen in five or $10$ years' time. She needed to model the amount of the outstanding principal at various points in theTulure$-$ two, five or $10$ years from now. She then wanted to determine the net future gain or loss after two, five and $10$ years under the following scenarios, which she had determined were possible after some due diligence regarding future real$-$estate prices in the Toronto condo market:$($d$)$ The condo price increases annually by an annual rate of $5$ per cent per year over the next $10$ years.