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Lesson: Economic Equivalence
You started to earn an amount at a bank offering 12% compounded monthly. At the beginning of each month you deposit ₱ 1,000.00. Then at the end of 10 years you decided that you will take the accumulated amount in installments, at the end of each month for 5 years. What will be the monthly amount received?
Step by step
Solved in 4 steps with 5 images
- 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 $600 in the bank for 3 years at 15%. 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 third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.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?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.Refer to the present value table information on the previous page. What amount should Brett have in his bank account today, before withdrawal, if he needs 2,000 each year for 4 years, with the first withdrawal to be made today and each subsequent withdrawal at 1-year intervals? (Brett is to have exactly a zero balance in his bank account after the fourth withdrawal.) a. 2,000 + (2,000 0.926) + (2,000 0. 857) + (2,000 0.794) b. 2,0000.7354 c. (2,000 0.926) + (2,000 0.857) + (2,000 0.794) + (2,000 0.735) d. 2,0000.9264
- K You plan to deposit $700 in a bank account now and $100 at the end of the year. If the account earns 7% interest per year, what will be the balance in the account right after you make the second deposit? ... The balance in the account right after you make the second deposit will be $ (Round to the nearest dollar.)Assume that you deposit RM700 in a savings account that pays 5% per year over 6 years. Your savings benefits from _____ as you leave the interest earnings in your account, and your interest earnings increases every year. Select one: a. compounding b. accumulating c. discounting d. aggregatingYou plan to deoosit $S00 in a bank acoount now and $300 at the end of the year. f the accourt eams 5% interest per year, what will be the balance in the account right after you make the second deposit? The balance in tthe account right after you make the second deposit will be S (Round to the nearest dollar)
- Now that you are finished school, you also have to start paying back your student loans. You borrowed a total of Rs. 12,500. You plan to pay back the loan over 10 years at an interest rate of 9.4% interest, compounded monthly. How much will your monthly payments be? Use excelSuppose you get a student loan for $8,000, and your payments are deferred until after you graduate, 2 years from now. Then, you will make 15 yearly payments (starting 2 years from now). What are your payments? The interest rate is 8%/year. a. $845 b. $ 934 c. $ 976 d. $1,009Suppose you receive $500 in graduation money. You decide to put it into an account paying 5%. If you deposit $175 into that same account every month for 7 years, how much money will you have at the end? $14,700.00 B $15,200.00 $16,195.49 $18,266.53 (E) $25,482.80
