1. Mary has an investment worth 55,500 dollars. The investment will make regular, fixed quarterly payments of 1,100 dollars to Bob forever with the first regular payment expected in 3 months from today. What is the expected quarterly return for the investment? Answer as a quarterly rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.
2. Quantum Pizza took out a loan from the bank today for 27,900 dollars. The loan requires Quantum Pizza to make a special payment of 13,800 dollars to the bank in 5 years from today and also make regular, fixed payments of X to the bank each year forever. The interest rate on the loan is 13.8 percent per year and the first regular, fixed annual payment of X will be made to the bank in one year from today. What is X, the amount of the regular, fixed annual payment?
3. An investment, which is worth 30,800 dollars and has an expected return of 16.93 percent, is expected to pay fixed annual cash flows forever with the next annual cash flow expected in 1 year. What is the present value of the annual cash flow that is expected in 3 years from today?
4. An investment is expected to generate annual cash flows forever. The first annual cash flow is expected in 1 year and all subsequent annual cash flows are expected to grow at a constant rate annually. We know that the cash flow expected in 2 year(s) from today is expected to be 1,320 dollars and the cash flow expected in 9 years from today is expected to be 2,610 dollars. What is the cash flow expected to be in 5 years from today?
5. Oxygen Optimization just bought a new filtration system for 181,000 dollars. To pay for the filtration system, the company took out a loan that requires Oxygen Optimization to pay the bank a special payment of 122,500 dollars in 2 year(s) and also make regular annual payments forever. The first regular payment is expected in 1 year and is expected to be 2,600 dollars. All subsequent regular payments are expected to increase by a constant rate each year forever. The interest rate on the loan is 14.56 percent per year. What is the annual growth rate of the regular payments expected to be? Answer as an annual rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.
6. What is the value of an investment that will pay investors 7,170 dollars per year for 8 years and will also pay investors an additional 6,590 dollars in 3 year(s) from today if the expected return for the investment is 14.93 percent per year and the first annual payment of 7,170 dollars will be paid to investors in exactly one year from today?