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- Albert Einstein once noted that, "Compounding of interest is one of humanity's greatest inventions". To illustrate the mind-boggling effects of compounding, what amount should you invest quarterly for 10 years in a fund that earns 8% compounded quarterly, to be able to accumulate P1,000,000 10 years? Draw the cash-flow diagram before solving.What uniform annual payment for 30 years is equivalent to spending $10,000 immediately, $10,000 at the end of 10 years, $10,000 at the end of 20 years, and $2,000 a year for 30 years? Assume an interest rate of 8%.Suppose Sally’s current salary is $62,000 per year, and she is planning to retire 25 years from now. She anticipates that her annual salary will increase by $1,800 each year. in the first year she will earn $62, 000 in the second year $63, 800 in the third year $65, 600 and so forth.) At the end of each of the next 25 years, she plans to deposit 10% of her salary from that year into a retirement fund that earns 6% interest compounded daily. How much money will be in her account at the time of her retirement?
- Compare the interest earned by $9,000 for six years at 7% simple interest with interest earned by the same amount for six years at 7% compounded annually. Why does a difference occur? The simple interest earned is $ ?What is the present equivalent of $18,000 to be received in 15 years when the interest rate isa. 7% ordinary simple interest?b. 7% compounded quarterly?c. 7% compounded monthly?Suppose a man purchases a luxury car with an initial down payment of $20,000 and then makes quarterly payments: $2000 at the each of each quarter for six years and $3500 at the end of each quarter for eight more years. Given an interest rate of 6% compounded quarterly, find the present value of the payments and the list price of the luxury car.
- 1. What is the exact simple interest on $2,800 for the period from February 12 to july 6 of 1996, if the rate of interest is 4%? 2. You owe $120,000 from your ex-girlfriend and promise to pay 6% simple interest. How much will you pay at the end of 1 year and 6 months? 3.You owe $120,000 from your ex-girlfriend and promise to pay 6% simple interest. How much will you pay at the end of 9 months?Sam promises to pay Sandy $2,000 in four years and another $3,000 four years later for a loan of $2,000 from Sandy today. What is the interest rate that Sandy is getting? Assume interest is compounded monthly.In one instance, a financial institution loaned you $60,000 for two years at an APR of 5.75% for which you must make monthly payments. In a second instance, you loaned a financial institution $60,000 for two years at an APR of 5.75% compounded monthly. What is the difference in the amount of interest paid? (Round your answer to the nearest cent.)
- Economics If an interest rate is 18% per year, compounded quarterly, what is the effective quarterly interest rate? 3.8% 4.5% 4.8% 6.2% 8.6% Explain meProvide answers in the form of a percentage to three decimal places . (a).What is the effective annual interest rate of a 4 % nominal annual interest rate compounded daily . (b).What is the effective annual interest rate of a 2 % nominal annual interest rate compounded weekly ? (c).What is the effective annual interest rate of a 7 % nominal annual interest rate quarterly ?If you want to buy a car in two years that cost $20,000.00, how much should put away every month if you can get a six percent nominal annual interest rate-compounded monthly?
