1. Calculate the future worth of 20 annual $4,000 deposits in a savings account that earns 8% compounded monthly. Assume all deposits are made at the beginning of each year.
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please answer all. do not use excel please, show all solution.
1. Calculate the future worth of 20 annual $4,000 deposits in a savings account that earns 8% compounded monthly. Assume all deposits are made at the beginning of each year.
2. Two banks offer the following interest rates on your deposit: (1) Bank A : 9% interest compounded quarterly (2) Bank B: 8.5% interest compounded continuously. Which of the following statements is not true?
(a) The annual percentage yield (APY) for Bank A is 9.30%.
(b) The effective annual interest rate for Bank B is 8.87%.
(c) Bank A offers a better deal.
(d) The annual percentage rate (APR) for Bank 8 is 8.5%.
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- 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?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
- If you deposit OMR 27177 in your account in a bank. Suppose the bank pays 12% compound interest quarterly. Calculate value of your money in 4 years Select one: a. 166607.80 b. 43611.11 c. 16935.81 d. 42749.42 e. All the given choices in this question are not correctA bank offers all savings accounts 5% interest compounded annually. If one account has a principal of $100 and another has a principal of $1,000, which account will double first? Explain how you arrived at your answer. Answer in complete sentences.Which one of the following bank accounts will you choose for a savings account? Bank A: An account that pays 8% nominal interest (APR) with daily (365-day)compounding. Bank B: An account that pays 8% nominal interest (APR) with annual compounding. Bank C: An account that pays 7% nominal interest (APR) with daily (365-day)compounding. Bank D: An account that pays 7% nominal interest (APR) with monthly compounding. Please explain your choice. show in excel for all choice to see calculations What is the effective annual return (EFF) of the account that you picked?
- Suppose you borrow from a bank $1,756.06 today (t=0). You agree to pay back $3,637.64 in 4 years (t=4). The interest rate (%) that the bank charge you is closest to ________%. Input your answer without the % sign and round your answer to two decimal places.Consider a credit card with a balance of $7000. You wish to pay off the credit card in each scenario. Calculate the following. Round your answer to the nearest cent, if necessary.a. The amount of a monthly payment within the time frame givenb. The total amount paid over the time period12. APR of 17.99% paid off within 1 year APR of 24% paid off within 3 yearsa. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 3.5% compounded monthly Click the icon to view some finance formulas. a. The periodic deposit is $. (Do not round until the final answer. Then round up to the nearest dollar as needed.) Formulas b. S of the $220,000 comes from deposits and S comes from interest. (Use the answer from part (a) to find these answers. Round to the nearest dollar as needed.) A= In the provided formulas, P is the deposit made at the end of each compounding period, r is the annual interest rate of the annuity in decimal form, n is the number of compounding periods per year, and A is the value of the annuity after t years. P[(1+r)²-1] T Time 10 years A= nt P= Financial Goal $220,000 响 nt [(¹-3) - X SEX
- Use PMT= to determine the regular payment amount, rounded to the nearest dollar. Your credit card has a balance of $4800 and an annual interest rate of 19%. With no further purchases charged to the card and the balance being paid off over five years, the monthly payment is $125, and the total interest paid is $2700. You can get a bank loan at 11.5% with a term of six years. Complete parts (a) and (b) below. a. How much will you pay each month? How does this compare with the credit-card payment each month? Select the correct choice below and fill in the answer boxes to complete your choice. (Do not round until the final answer. Then round to the nearest dollar as needed.) This is $ O A. The monthly payments for the bank loan are approximately $ monthly credit-card payments. O B. The monthly payments for the bank loan are approximately $ monthly credit-card payments. This is $ more than the less than theRead and analyze each given scenario and provide what is asked. Show your complete solutions. 1. It is now January 1, 20x8. Today you will deposit P100,000 into a savings account that pays 8%. a. If the bank compounds interest annually, how much will you have in your account on January 1, 20x9? b. What will your January 1, 20x9 balance be if the bank uses quarterly compounding? 2. It is now January 1, 2x16, and you will need P100,000 on January 1, 2x20. Your bank compounds interest at an 8% annual rate. How much must you deposit today to have a balance of P100,000 on January 1, 2x20? 3. If you deposited P200,000 in a bank account that pays 6% interest annually, how much will be in your account after five (5) years? 4. What is the present value of a security that will pay P290,000 in 20 years if securities of equal risk pay 5% annually? 5. What is the future value of a 5%, 5-year ordinary annuity that pays P8,000 each year? If this was an annuity due, what would be its…It is now January 1, 2018. You will deposit $1,000 today into a savings account that pays 8 percent.a. If the bank compounds interest annually, how much will you have in your account on January 1, 2021?b. What would your January 1, 2021, balance be if the bank used quarterly compounding? c. Suppose you deposit $1,000 in 3 payments of $333.333 each on January 1 of 2019, 2020, and 2021.How much would you have in your account on January 1, 2021, based on 8 percent annual compounding?d. How much would be in your account if the 3 payments began on January 1, 2018? e. Suppose you deposit 3 equal payments in your account on January 1 of 2019, 2020, and 2021.Assuming an 8 percent interest rate, how large must your payments be to have the same ending balance asin part a?
