You plan to deposit P100 into a savings account at the end of each month for the next 5 years. a.)At 3% compounded monthly, how much will you have accumulated at the end of 5 years? b.)How much difference would it make if the payments were made at the beginning of the month rather than at the end?
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SUBJECT:
(a) Identify the Given and the Unknown or what is being asked in the problem
(b)Provide the formula to be used
(c)Show the complete solution. The final answer is already provided.
You plan to deposit P100 into a savings account at the end of each month for the next 5 years. a.)At 3% compounded monthly, how much will you have accumulated at the end of 5 years? b.)How much difference would it make if the payments were made at the beginning of the month rather than at the end?
Answer: a.) F = P6,464.67, b.) F value difference = P196.63
Step by step
Solved in 8 steps
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Calculating interest earned and future value of savings account. If you put 6,000 in a savings account that pays interest at the rate of 3 percent, compounded annually, how much will you have in five years? (Hint: Use the future value formula.) How much interest will you earn during the five years? If you put 6,000 each year into a savings account that pays interest at the rate of 4 percent a year, how much would you have after five years?
- You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote. Financial Mathematics Please answer all parts of the question Suppose you will receive $50,000 in 10 years time.a) What is the discount factor assuming quarterly compounding at 7% interest rate?b) What is the present value?c) What happens to the present value if the payment was to occur in five years?d) What happens to the present value if the interest rate was 8% instead?For the following economic calculations, write the factors (multipliers) that should be used,in (i) using the parameter values, and in (ii) calculate the result by showing your computations. Write the results you find in the spaces left. (Use factors for your calculations.)EXAMPLE: If you deposit $ 100 to a bank account that earns 8% annual interest, how much money will you have in this account after five years?(i)(F/P, 8%, 5) (ii)146.93100 * (F/P, 8%, 5) = 100 * 1.4693 = 146.93 TLa. You plan to take a credit with $1500 installment size per year with an annual interest rate of 8% over six years from a bank. What is the amount of your current credit?(i) (ii)b. A bank is required to deposit money for four years with an interest rate 10%. The money deposited at the end of the first year is 6000 TL and the amount of money deposited in the next three years will be reduced by 500 TL every year. How much money will be in the bank at the end of the fourth year?(i) (ii)
- TOPIC: ENGINEERING ECONOMICS Specific Instructions: Solve each problem NEATLY and SYSTEMATICALLY. Show your COMPLETE solutions and BOx your final answers. Express all your answers in 2 decimal places. Problem: 1. What is the future amount of my Php 100, 000 after 5 years if I invest today at a rate of 12 % compounded annually? The inflation rate is 8 % per year. What is the actual effective rate given to the account?Please provide the steps to solving this problem using a financial calculator: You just opened a brokerage account, depositing $3,500. You expect the account to earn an interest rate of 9.652%. You also plan on depositing $4,500 at the end of years 5 through 10. What will be the value of the account at the end of 20 years, assuming you earn your expected rate of return?Use the present value and future value tables to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? $fill in the blank 1 B. If you place $6,100 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? $fill in the blank 2 C. You invest $7,000 per year for 9 years at 12% interest, how much will you have at the end of 9 years? $fill in the blank 3 D. You win the lottery and can either receive $760,000 as a lump sum or $40,000 per year for 19 years. Assuming you can earn 8% interest, which do you recommend and why?
- Use the present value and future value tables to answer the following questions. A. If you would like to accumulate $2,600 over the next 5 years when the interest rate is 15%, how much do you need to deposit in the account? $fill in the blank 1 B. If you place $6,300 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? $fill in the blank 2 C. You invest $7,000 per year for 11 years at 12% interest, how much will you have at the end of 11 years? $fill in the blank 3 D. You win the lottery and can either receive $740,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why? Take the lump sum $740,000 because it is more money.PROBLEM (1-4) (A) If you want to have $250 in 5 years and you can earn an annual return of 7%, how much must you invest today? Be sure to use cell references and make sure that your answer appears as a positive value. (B) If you make a one-time deposit today of $800 you can earn 10% per year, how much would you have in your account after 15 years? Be sure to use cell references and remember that deposits from you are outflows. (C) If your investment of $1,254 declined to $435 in 6 years, what compounded annual rate of return would you have earned? Be sure to use cell references and to convert your answer to a percent rounded to two places after the decimal point. (D) If you can earn 5% per year, precisely how many years would it take for your investment of $450 to turn into $1,200? Be sure to use cell references and display your answer rounded to two places after the decimal point. TIME VALUE OF MONEY: LUMP SUMS PV FV r n (A) (B) (C) (D)4. If you receive $116 each month for 28 years and the discount rate is 0.08, what is the present value? (show the process and can use financial calculator)