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- Consider the following cash flows. The interest rate is 10%. What is the duration (hint: you need PV)? Year 0 1 2 3 4 Cash flow 100 200 300 400A sum of $10,000 now (time 0) is equivalent to the following cash flow diagram. What is the value of $B if the annual interest rate is 3%? $3,400 $B $2,500 $2,500 1 3 4 6 7 End of Year $10,000.Find the present worth in year 0 (PT) for the cash flow diagram using an interest rate of 15% per year PT=? i = 15% PA 1 3 4 5 6 7 8 9 Actual Year A =$5000 $1000
- For the net cash flow series, find the external rate of return (EROR) using the MIRR method with an investment rate of 25% per year and a borrowing rate of 11% per year. What is the external rate of return?If the required reserve ratio is 10%, how much a new $10,000 deposit can a banklend? What is the potential impact on the money supply?Consider another set of net cash flows: Year Cash flow 0 1,500 1 2,000 2 0 3 1,500 4 3,000 5 4,000 What is the net present value of the stream if the opportunity cost of capital is 11 percent? What is the value of the stream at the end of year 5 if the cash flows are invested in an account that pays 11 percent annually? What cash flows today (time 0), in lieu of the 2,000 cash flow, would be needed to accumulate $20,000 at the end of year 5? (assume that the cash flows for years 1 through 5 remain the same.)
- You will receive $100 one year from today and another $100 two years from today. The interest rate for the first year is 1%, but rates are expected to rise to 5% in the second year. What is the present value of the cash flows? Round your answer to two decimal places.You plan to make a series of deposits in an interest-bearing account. You will deposit $1,000 today, $2,000 in 2 years, and $8,000 in 5 years. If you withdraw $3,000 in 3 years and $5,000 in 7 years, how much will you have after 8 years if the interest rate is 15 percent? What is the present value of these cash flows? How to use Financial Calculator to solve this problemmuch is it worth? (See Problem 1.) Future Value with Multiple Cash Flows You plan to make a series of deposits in an interest-bearing account. You will deposit $1,000 today, $2,000 in two years, and $8,000 in five years. If you withdraw $3,000 in three years and $5,000 in seven years, how much will you have after eight years if the interest rate is 9 percent? What is the present value of these cash flows? (See Problem 3.) 5.2 You ore loking into an inyestment that will pay you
- 4At a rate of 5.25%, what is the future value of the following cash flow stream? Year 0: $0 Year 1: $75 Year 2: $225 Year 3: $0 Year 4: $300Time for a lump sum to double: If you deposit money today in an account that pays 6.5% annual interest, how long will it take to double your money? Future value -- annuity versus annuity due: What is the future value of a 7%, 5 year ordinary annuity that pays $300 each year? If this were an annuity due, what would its future value be? Present and future values of a cash flow stream: An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future value? Loan amortization and EAR: You want to buy a car, and a local bank will lend you $20,000. The loan would be fully amortized over 5 years (60 months), and the nominal interest rate would be 12%, with interest paid monthly. What would be the monthly loan payment? What would be the loan’s EAR? Present value of a perpetuity: What s the present value of a $100…
