Consider the cash flow shown in the accompanying diagram. If the value of C is $102,645, calculate the value of X that makes the inflow series economically equivalent to the outflow series at an interest rate of 7% compounded annually. Note: Round off only your final answer to two decimal places and NO need to write the $ sign. сссссссс 0 1 2 3 4 5 6 7 8 9 10 11 12 X X X X X X X
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- 5. You receive payments of $10,000 per year from a family trust, but you don't need that money right now. Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 10 years? C= 10,000 r = 0.02 t = 10 (1 = i)^n FV = C =? Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 5 years?Question 5 Part B: You plan to deposit $200 at the end of every six months for 8 years starting at the end of month 6. Then after leaving the money in the account for several years, you plan to withdraw everything 15 years from today. How much is available to withdraw at the end of year 15 if the account pays a nominal annual rate of 8% compounded monthly? Question 5 Part B: Identify the correct Function Notation for this scenario. O F= 200(F/A,8.3%, 8) (F/p, 8.3%, 7) O F= 200(F/A,27%,16) (F/p, 27%, 14) O F= 200(F/A,4.07%, 16) (F/p, 4.07%, 14) O F= 200(F/A,4.07%,8) (P/F, 4.07%, 7)Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $. (Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7% interest rate, the present value of the loan is $. (Round your response to the neareast two decimal place)
- To make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $16,000 at 10.00% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? (Round the final answer to three decimal places.) The compound interest rate that would yield the same amount of money in 3 years is % per year.1. What is the Single Payment Compound Amount factor for an interest rate of 2% over 10 years? 2. What is the Uniform Gradient Future Worth factor for an interest rate of 10% over 10 years? 3. What is the Uniform Series Present Worth factor for an interest rate of 5.5% over 20 years? 4. A bank pays 3% interest per year (compounded annually). a. To what amount will a $5,000 deposit grow if left in the bank for 10 years? b. Draw the Cash Flow Diagram for this problem.Cash Flow is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $1000 is to be paid out a year from today with the interest rate equal to 5% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $7000 is to be paid then with a corresponding 7%interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)
- A cash flow at time zero (now) of $7,386 is equivalent to another cash flow that is an EOY annuity of $2,100 over five years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same five-year time interval? Assume that the cash flow at the end of year one is zero. Choose the correct answer below. A. $1,050 B. $702 OC. $949 OD. $1,195 OE. Not enough information given.( Solve the following problems. Draw the cash flow diagram for each problem and use the interest rate with five decimal places. Box your final answer and upload the picture of your complete solution. ) 1. How much would you have to deposit now, so that you can withdraw of $10,000starting at the end of year 5, and subsequent withdrawals will decrease a rate of of 10% semiannual year over the previous year’s until at the end of year 8, if the interest rate is 6%, compounded semi-annually?How much would you have to deposit now. so that you can withdraw of $10000 starting at the end of year 5 , and subsequent Withdrawals will decrease a rate of of 10% semiannual year over the previous year's until at the end of year 8 , if the interest rate is 676. compounded semi-annually? Note: Draw the cosh flow diagram and use interest rate with five decimal places. Box your final answer and upload the picture of your solution.
- A cash flow at time zero (now) of $14,551 is equivalent to another cash flow that is an EOY annuity of $2,700 over seven years (starting at year 1). Each of these two cash-flow series is equivalent to a third series, which is a uniform gradient series. What is the value of G for this third series over the same seven-year time interval? Assume that the cash flow at the end of year one is zero. ..... Choose the correct answer below. A. $989 B. $785 C. $392 D. $1,450 O E. Not enough information given.If the interest rate is 7.0%, what is the present value of a perpetuity paying $210 per year? (A perpetuity is a bond that makes payments forever.) Round to the nearest dollar. Do not use dollar signs or commas in your answer. Example: if the answer is $1,234.56, then write "1235"1. Given the following varied interest rates: 6% compounded monthly during the first year, 2% per quarter during the second and third years, and 10% per year throughout the remaining years, how much should you invest today (P) to have $ 1M five years from now? 2. For five years, a series of equal payments of $50,000 is received quarterly. The quarterly payments double in size after these five years and continue for another ten years. Calculate the single present amount (P) equivalent to the series of payments received over the 15-year period if the interest rate is: a. 12% compounded monthly b. 12% compounded annually