ount needed to be invested r t 3.6% compounded monthly
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- 6. Computing Future Value of Annual Deposits. What amount would you have if you L deposited $2,500 a year for 30 years at 8 percent (compounded annually)? (Use time value of money calculations in Chapter 1 Appendix.) e here to search 17 to 4M to 144 16 40 73 14 I01 12 米 E T 00 86 R 4. 24 3.S You deposit $1,200 in your bank account. a. If the bank pays 5% simple interest, how much will you accumulate in your account after 8 years? Future value Saved b. How much will you accumulate if the bank pays compound interest? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Future value M Question 7Problem 1. Answer the following questions on recurrence relations. a) A person deposits $5000 in an account that yields 7% interest compounded annually. i) Set up a recurrence relation for the amount in the account at the end of n years. ao = ? an = ? ii) How much money will the account contain after 7 years? Show you calculation.
- 4. Suppose $5,000 is deposited in a savings and loan account that pays 5.5% interest compounded semiannually. Use compound interest to calculate the following:a. How much money will be saved?b. How much will be owed after 2 years?Question 4: If you make 6 annual deposits of $500 in your savings account, which earns a 5% compounded annual interest. Draw the cash flow diagram. What equal annual amount can be withdrawn over 5 subsequent years?To find out the balance in your account just after you make your last deposit whereby you will deposit $400 at the end of each 6 months for the next 5 years at a nominal rate of 12% p.a. compounded semi- annually, you can also apply which of the following formula to solve for the accumulated amount manually: Select one: O a. FV= PV(1+i)" FV = PV(1+i)" O b. PVn = PMT[1-(1+ i)*"] /i 1-(1+1) PV = PMT| FVn = PMT[(1+ i)" -1] / i (1+i)"-1 FV = PMT %3D
- If you deposit $2 comma 7002,700 today into an account earning an annual rate of return of 1313 percent, what will your account be worth in 4040 years (assuming no further deposits)? In 5050 years? Question content area bottom Part 1 Click on the table icon to view the FVIF table: LOADING... . In 4040 years, your account will be worth $enter your response here. (Round to the nearest cent.)1. You wish to have $10,000 in an account 10 years from now. How much money must be deposited in the account now in order to have this amount if the account pays 8% compounded annually? * $ 1,490 $3,871 $4,632 $5,584How much money should be deposited in a bank paying a yearly interest rate of 8% so that after 10 years the accumulated amount will be $30,000? Select one: O a. none b. 13,895 O c. 14,895 d. 12,895 e. 15,895
- Suppose you borrowed $25, 000 at a rate of 9.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be? Select the correct answer. a. $7, 703.52 b. $7, 729.92 c. $7, 716.72 d. $7, 736.52 e. $7,723.32a. 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 Time Financial Goal $? at the end of each year 3% compounded annually 18 years $140,000 a.The periodic deposit is $_______. (Do not round until the final answer. Then round up to the nearest dollar asneeded.)Exercise (1.77) You deposit an amount X into an account at time 0 and 2X into the same account at time 3. The account balance at time 5 is 5,000. If the account has earned a 4% annual effective rate, what is the value of X? Answer: 1,479.35