Question 6.29 The following three sets of cash flows have the same present value: . 10,000 payable in 1 year . 1,200 at the end of each year for 12 years, with the first payment to be made in one year X per year, with the first payment to be made in 20 years and the final payment to be made in 30 years The force of interest is constant. Calculate X. A 281 B 4,971 C 5,299 D 5,341 E 5,693
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- Problem 6: Calculate the present values at t = 0 (now) of the following cash flows: a. $100 every year forever, with the first payment at t = 1 (t counts years), where the effective annual rate is .05 (i.e., 5%). b. $100 every year forever, with the first payment at t = 11 (t counts years), where the effective annual rate is .05 (i.e., 5%). Hint: What will be the value of this stream at t = 10 (ten years from now) if the discount rate remains 5%? To get the value at t = 0, discount this single value back 10 years at 5%. %3DConsider the following cash flows: Year Cash Flow 2 $ 22,800 3 40,800 5 58,800 Assume an interest rate of 9.6 percent per year. a. If today is Year 0, what is the future value of the cash flows five years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. If today is Year 0, what is the future value of the cash flows ten years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)1. Future Value For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today and held until the end of the deposit period if the interest is compounded annually at the rate specified. Part Single CF Interest Rate Deposit Period (Years) PV I/Y N A $900 3% B $1200 6% C $16,000 9% D $40,000 10% 6 8 12 15
- The following cash flows are all end-of-period values. .. 400 200 400 .. 300 2 3..... 10 Use a 10% nominal interest rate compounded annually to determine the economically equivalent present value, “P," of the payments at time zero, the economically equivalent future value, "F," of the payments at the end of year 10, and the equivalent annual series of end-of-period payments, "A," in years 1-10.Consider the following sequence of year-end cash flows: EOY 1 3 Cash Flow $9,000 $14,000 $19,000 $24,000 $29.000 What is the uniform annual equivalent if the interest rate is 7% per year? Click the icon to view the interest and annuity table for discrete compounding when i=7% per year. Choose the correct answer below. O A. $18,325 O B. $19,000 O C. $14,636 O D. $20,425 O E. $9,3254-4 Future values For each of the cases shown in the following table, calculate the future value of the single cash flow deposited today that will be available at the end of the deposit period if the interest is compounded annually at the rate spec- ified over the given period. Case Single cash flow Interest rate Deposit period (years) A 24 200 5% 20 В 4,500 8. C 10,000 9. 10 25,000 10 12 37,000 11 F 40,000 12 9
- What is the future value at the end of year three of the following set of cash flows at an interest rate of 10% p.a. compounded annually? End of Year 1 $5,100 End of Year 2 $2,300 End of Year 3 $1,150 Select one: a. $8,550 b. $9,966 c. $9,851 d. $9,5811. For each of the following cases, calculate the future value of the single cash flow deposited today that will be available at the end of the deposit period if the interest is compounded annually at the rate specified over the given period. Case Single Cash Flows ($) Interest Rate (%) Deposit Period (years) A $100 3.5% 30 B $5,000 10% 25 C $12,500 12% 7 D $23,200 14% 10Question 2: In the following cash flow, how much should be deposited at the beginning of year 1 so that the four-year withdrawals as shown below can be made at the end of each year. Assume the interest rate is 13.5%. 24000 20000 16000 12000 012 3 4
- What is the future value of a stream of $800 cash receipts, each to be received at the end of the next four years, with 10% annual compounding interest rate? Group of answer choices a. $4,084.08 b. $3,712.80c. $2,789.48 d. $2,535.89Illustration 1 Calculate the future value of the following cash flow if it is invested @ 8% interest p.a. At the end of each year Amount Deposited 1 2,000 4,000 3. 6,000 4 8,000Intro You expect to receive two cash flows: $9,000 paid after 3 years and $18,000 paid after 6 years. The annual interest rate is 8%. Part 1 What is the present value of the combined cash flows? 0+ decimals Submit