1.) An amount of R1 500 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. Find the balance after 6 years. 2.) Your goal is to accumulate R30 000 after 17 years from now. How much must you invest now
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- 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.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?1. (a) A bank account pays 5.5% annual interest, compounded monthly. How long will it take the money to double in this account? (b) An investment offers to double your money in 5 years, what the APR are you being offered?Suppose you have a k5000 bank deposits. The interest rate is 6% compounded quarterly for 1 year. What is the effective annual interest rate (EAR)?
- You make an investment into a money market account at time T=0. In year T=5, the value of the money market account will be $5,000. The money market account pays an annual interest of R=6%, and interest is compounded on a quarterly basis. What is the present value of this account?3. You have a bank deposit now worth $5000. How long will it take for your deposit to be worth more than $8000 if: (a) The account pays 5 percent actual (per sub-period) interest every half-year and is compounded every half- year? (b) The account pays 5 percent nominal interest, , compounded semiannually?You have a bank deposit now worth $5000. How long will it take for your deposit to be worth more than $8000 if a. The account pays 5 percent actual interest every half-year and is com- pounded every half-year? b. The account pays 5 percent nominal interest, compounded semiannually?
- Suppose you invest S11.570.00 into an account earming an interest rate of 2.484% compounded continuously for 2 yeart and thereafter earning an interest rate of 3.417% compounded weekly. How much money is in the account after 9 years? The amount in the account is (Note: Your answer should have a dollar sign and be accurate to two decimal places)Answer number 1 and 2: 1.) You just deposited P2,500 in a bank account that pays a 4.0% nominal interest rate, compounded quarterly. If you also add another P5,000 to the account one year (4 quarters) from now and another P7,500 to the account two years (8 quarters) from now, how much will be in the account three years (12 quarters) from now? 2.) Suppose you borrowed P15,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year?Suppose a deposit of R dollars is made at the end of each year, and assume an APR of r% compounding continuously. (a) If we invest like this for 3 years, what is the value of the account after the third year? (b) If we are making these payments for 3 years, how much money must we invest today to cover the payments? (c) If we make these payments in perpetuity, find a formula which describes the amount of principal we must invest today to cover all future payments. (d) If we invest like this for three years, but instead use an account with an APR s% compounded weekly, determine s so that this second account has the same value as your answer in part (a) after three years.