You pay $1,000 today for the following series of monthly cash flows: 150 0 200 15 300 300 0 100 100 200 -100 What was the NPV of your decision to make this deal? ( Answer is close to $200). *Assume nominal annual discount rate of 12%. * (Edited to add discount rate.)
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- What is the equivalent uniform annual payment for the following cash flows if the interest rate is 10%? Populate the following table and compute the equivalent uniform annual payment. Show all work and provide an explanation. Do not use Excel. [Hint: This problem is a mix of annuity, gradient, and a single future cash flows.] ΕΟΥ Cash Flows Annuity Gradient Future 1 $2,000 2 $3,000 $4,000 $5,000 $6,000 $7,000 $8,000 $9,000 $10,000 $14,000 IN 3 st 4 5 6 7. 8 9 10Find the net present value (NPV) of the following cash flows when the discount rate is 7% pa: $60,000 immediately (t=0); $80,000 in 1.5 years (t=1.5); and $100,000 in 4.5 years (t=4.5). The net present value of these payments is: Select one: ○ a. $157,458.96 b. $206,031.23 c. $216,838.09 d. $240,000 e. $279,357.32What is the present value of the following stream of cash flows if the discount rate is 9%? Year 1-5: $14,000 inflow Years 6-20: $23,000 inflow (Use the present value tables in your course packet for any present value calculations. Round your final answer to the nearest dollar.)
- What lump sum would have to be deposited today into an account bearing interest of 10% per year to provide withdrawals of $1000 at 8,9,10,11 years from today? (provide cash flow diagram with solution) please provide the cash flow diagram and explain your answer.Investment X offers to pay you $7,500 per year for 9 years, whereas Investment Y offers to pay you $10, 200 per year for 5 years. a. If the discount rate is 6 percent, what is the present value of these cash flows? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. If the discount rate is 22 percent, what is the present value of these cash flows? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. a. Present value of Investment X at 6 percent Present value of Investment Y at 6 percent b. Present value of Investment X at 22 percent Present value of Investment Y at 22 percentConsider a loan of $10,000 and the following pattern of cash flows. a. What is the interest rate that makes the present worth equal to $0.00? b. Using the interest rate determined in part (a), and leaving the −$10,000 at year 0 in place, determine the equal annual incomes that are equivalent to the gradient series in years 1, 2, 3, and 4?
- Determine the value of W on the right-hand side of the accompanying diagram that makes the two cash-flow diagrams equivalent when /=9% per year. Q $1,150 30 1 2 End of Year $1,150 3 4 5 $1,150 W Click the icon to view the interest and annuity table for discrete compounding when i=9% per year. End of Year The equivalent amount, "W", of the cashflows provided in the diagram is $ 1739. (Round to the nearest dollar.) W OUWhat is the equivalent uniform annual payment for the following cash flows if the interest rate is 10%? Populate the following table and compute the equivalent uniform annual payment. Show all work and provide an explanation. Do not use Excel. [Hint: This problem is a mix of annuity, gradient, and a single future cash flows.] ΕΟΥ 1 2 3 4 5 6 7 8 9 10 Cash Flows $2,000 $3,000 $4,000 $5,000 $6,000 $7,000 $8,000 $9,000 $10,000 $14,000 Annuity Gradient FutureFor the given cash flow, if the equivalent uniform annual payments is $2000 and the interest rate is 4% per year. End of 2 3 Year Cost 2A ZA+30 ZA+50 ZA+90 ZA+120 ZA+150 2A+180 ZA+210 2A+240 Determine the amount of (A) ? Determine the equivalent present value?
- Assume the appropriate discount rate for the following cash flows is 10.2 percent. Year Cash Flow 1 $2,100 2 2,000 3 1,700 4 1,500 What is the present value of the cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Investment X offers to pay you $4,700 per year for 9 years, whereas Investment Y offers to pay you $6,400 per year for 5 years. a. If the discount rate is 8 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) b. If the discount rate is 20 percent, what is the present value of these cash flows?What single payment at the beginning of year 2 is equivalent to an equal annual series of payments of $8000 beginning at the end of year 3 and ending at the end of year 8? Use i = 10 % compounded annually. (using cash flow diagram is recommended)