MATH PROBLEMS (6 points each) 1. Complete an amortization schedule for the following loan. The loan amount is $100,000 at 8.0% Interest, amortized on a yearly basis over five (5) years, Yec Document interest | Principal Pe Amount outstanding not 100,000 3 11 2. You are considering investing in a real estate project. Your one ownership unit would cost $30,000. The project is expected to generate annual cash flows for you of: $4,500 in year 1, $5,000 in years 2-5, $8,000 in year 6 and 519,000 in year 7. With a discount rate of 8.0% what is the net present value (NPV) of this investment? Should you invest in this deal? Why or why not? 3. What is the future value of an investment of $1,000 paid every year for five (5) years when the funds are invested at the end of the year at a rate of 11.0% 4. Given the following for a retail property This property is occupied by a single tenant: Net Rentable Space Lease Rate Real Estate Taxes Operating Expenses Insurance Actual Gross Sales Base Sales as per Lease Percentage Lease Clause 10,000 sq. ft. $16.00 per sq. ft. per year $ 1.75 per sq. ft. per year $ 0.55 per sq. ft. per year S 0.06 per sq. ft. per year $2,400,000 $2,000,000 4.0% What is the amount of rent due on a perna f. basis (per year) if the tenant has a "net" (N) lease and a "percentage lease clause" in the lease? S. Given the following: Number of Units 125 Operating Expenses $800,000 Vacancy Rate 5% Collection Loss 2% Monthly Rent $1.000 Debt Service $360,000 Calculate on an Annual Basis: (There are no negative numbers in this answer) What is the Potential Gross Income (PGD)? b. What is the Effective Gross Income (EGI)? What is the Net Operating Income (NOTY? d. What is the Before Tax Cash Flow (BTCFY? e Utilizing a capitalization rate of 9.5%, what is the estimated value of the property