B. What is the present value of a $10,000 per month perpetuity, assuming an annual interest rate of 9.5%? | 5. You have moved into an apartment following graduation. Your apartment costs $750 per month, due at the beginning of each month. If you signed a 12-month rental agreement, what is the present value of the rent payments, assuming an annual interest rate of 10%? Show all work and/or numbers entered. 6. Assume you can invest $18,000 today at a rate of 9% interest annually. With no additional payments, annual compounding, and a period of 25 years, what is the expected future value? Show your work. If you use a TI-83, write what numbers you entered for I, N, PMT, and PV. 7. In order to purchase a house, you have taken out a 30year mortgage of $200,000 at 4.29% interest per year. You make payments at the end of every month. What is the amount of each monthly payment? 8. Your friend has approached you for a loan. He is asking you for $700. In return, he promises to pay you $58 every six months. At the end of 5 years, he will pay you $850. What is the annual interest rate you would receive if you gave him the loan? 9. A new business opportunity has presented itself. The business venture is expected to last for ten years. For the first four years, negative cash flows of $30,000 per year are expected at the end of each year. No net cash flow is expected at the end of year five. A positive cash flow of $35,000 is anticipated at the end of year six. A positive cash flow of $45,000 is expected at the end of years seven through tn. At the end of year ten, the business will be sold for $270,000. What is the present value of all of the future cash flows, assuming a 16.50% annual cost of capital? HINT: Use a timeline. If the business venture will cost you $189,000 to establish today, what is the net present value of the business venture? Should you pursue it? 10. Refer to question 7. Using Excel, prepare an amortization table for the mortgage. Obtain the results for the first fifteen periods and include the results with your completed assignment. On the same page, show the overall sums for the relevant columns over the full period of the mortgage