hello i need ans to the following questions. please show all your work. and please use finacial calculator.

thank you

2. [15 points] You start a private mortgage lending firm that targets high networth borrowers. The idea is that by offering loans with relatively low rates paired with relatively high origination fees, you will attract borrowers who have a good amount of wealth on hand and a lower likelihood of defanlt. The typical loan amount is $750,000, where payments are amortized over a 30-year period and based on a 4.50% mortgage rate. (a) If you charge 3.5 points at origination and expect the borrower to hold the mortgage to maturity, what is your return on lending? (b) Based on your extensive research, you estimate that the average life of a typical loan is 8 years. If you charge 3.5 points at origination and expect the borrower to pay off the mortgage at the end of eight years, what is your return on lending? 3. [10 points] You are thinking about purchasing a small apartment building in Maplewood, New Jersey. The property contains 8 apartments of similar size and configuration that rent for $3000a month and you are responsible for all operating expenses. (a) What is the annual potential gross rent you expect to receive from this property in the first year of ownership? (b) What is the annual effective gross income you expect if you expect the vacancy rate to by 10% per year? (c) If expenses are estimated to be 40% of effective gross income, what is the net operating income generated by the property in the first year of ownership? (d) What is the estimated value of the property if the current market cap rate is 6% ? 2. [15 points] You start a private mortgage lending firm that targets high networth borrowers. The idea is that by offering loans with relatively low rates paired with relatively high origination fees, you will attract borrowers who have a good amount of wealth on hand and a lower likelihood of defanlt. The typical loan amount is $750,000, where payments are amortized over a 30-year period and based on a 4.50% mortgage rate. (a) If you charge 3.5 points at origination and expect the borrower to hold the mortgage to maturity, what is your return on lending? (b) Based on your extensive research, you estimate that the average life of a typical loan is 8 years. If you charge 3.5 points at origination and expect the borrower to pay off the mortgage at the end of eight years, what is your return on lending? 3. [10 points] You are thinking about purchasing a small apartment building in Maplewood, New Jersey. The property contains 8 apartments of similar size and configuration that rent for $3000a month and you are responsible for all operating expenses. (a) What is the annual potential gross rent you expect to receive from this property in the first year of ownership? (b) What is the annual effective gross income you expect if you expect the vacancy rate to by 10% per year? (c) If expenses are estimated to be 40% of effective gross income, what is the net operating income generated by the property in the first year of ownership? (d) What is the estimated value of the property if the current market cap rate is 6%