Harry Morgan plans to make 30 quarterly deposits of P200 into a savings account. The first deposit will be made mmediately. The savings account pays interest at an annual rate of 8%, compounded quarterly. How much will Harry have accumulated in the savings account at the end of the seven and a half-year period? (Use che appropriate table in the cext.) *
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- James made an initial deposit into an account of $1,000 at time t = 0, followed by five annual deposits of $200 at times t = 1,2, 3, 4, 5. James will receive payments from the account at times t = 7, 8, 9, starting at $1,500 and decreasing by $X per year. The balance in the account after the last payment is $0. Determine X given an effective annual interest rate of 7%. Hint: Sketch a time diagram to see the payments. Possible Answers A $490 but < $530 D 2 $530 but < $570 E 2$570You deposit $1.2 milion into vour account to cover expenses in the next 12 vears. The account earns interest at the rate of 4%, compounded annually. Assume you expect the balance of the account to be $0 at the end of the 12th year. A) What annual level of living expenses Will your initial deposit support. (e.g., what equal annual withdrawal can you make for the next 12 years )? b) Suppose you realize your living expenses will increase at an annual rate of 2% due to inflation. Determine the updated annual spending plan in the line with this model how much can you withdrawal at the end of the first year. knowing that your withdrawal will increase by 2% each year? C) Suppose the initial deposit is still planned to support your equal annual expenses in the next 10 years as in part a but don't need to withdraw any money from your account for the first 6 years. You will withdraw from your account annually starting from the end of year 7 till the end of year 12. What annual level of living…You make deposits of $700 at the end of each month into an account earning i^(12) = .03 for three years. At the end of the three years, you take the accumulated value and purchase a 4 year annuity immediate at a rate of i^(12) = .06 that makes monthly payments of P. Find P.
- You plan to deposit $500 in a bank account now and $600 at the end of the year. If the account earns7% interest per year, what will be the balance in the account right after you make the second deposit?Pascal has recently opened an RRSP. He plans to deposit $ 647 at the end of every month for 25 years. The account will compound interest semi-annually at the nominal rate of 6.7 %. How much money will Pascal have in his account immediately after his last deposit?a. $ 522341.09b.$ 492774.61c. $ 512485.60d.$ 532196.58e.$ 502630.10You plan to deposit S500 in a bank account now and S400 at the end of the year. If the account earns 4% interest per year, what will the balance be in theaccount right after you make the second deposit?
- In the situation where Ahmad are depositing $1,000 per month in a savings account that pays 6 percent interest per year compounded quarterly. Here payment period is greater than compounding period. Select one: O True O FalseTess wanted to have P100,000 on her bank account at the end of 8years. She plans to deposit an amount at the beginning of each month at an interest rate of 3.5% compounded quarterly.a.What is her monthly deposits?b.What is the present worth of these deposits?You are considering investing $8,500 in a bank term deposit for 5 years. The term deposit will pay quarterly interest of 3% (compounded quarterly). What is the value of this deposit at the end of year 3? A. 11,560.00 B. 15,351.95 C. 9,853.83 D. 12,118.97
- Your bank offers 3 percent annual interest onsavings deposits. If you deposit $560 today, howmuch interest will you have earned at the end ofone year?Compute the annual interest, total interest and the amount to be received or paid at the end of the term for each scenario using a simple interest assumption: 1. You invested P28,000 in government securities that yields 5% annually for three years. 2. Your mother obtaineda car loan for P900,000 with an annual rate of 12% for 5 years. 3. You deposited P10,000 from the savings of your daily allowance in a time deposit account with your savings bank at a rate of 1.5% per annum. This will mature in 6 months.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?