3. Nine years ago, Beatrice invested a sum of $6,000. The interest rate she earned changed over time: During the first three years, she earned 5 percent annually compounded, during the following two years she earned 8 percent compounded semiannually, and during the final three years, she earned 10 percent continuously compounded. Find the value of this investment at the end of the 8th Show all work.

3. Nine years ago, Beatrice invested a sum of $6,000. The interest rate she earned changed over time: During the first three years, she earned 5 percent annually compounded, during the following two years she earned 8 percent compounded semiannually, and during the final three years, she earned 10 percent continuously compounded. Find the value of this investment at the end of the 8th Show all work.

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter19: The Basic Tools Of Finance

Section: Chapter Questions

Problem 4PA

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5. Suppose Alex and Spenser each invest $5,000 in the same stock. Alex invests directly and earns 5% a year. Spenser uses a retirement fund, which charges an administrative fee equal to 0.25% on managed assets, and earns 4.75%.a) At the end of one year, how much will Alex and Spenser have?b) If Alex and Spenser leave their investments in place for 30 years, with annual compounding ofthe interest, how much more will Alex have than Spenser at the end of the 30-year period?
Now that young King Solomon has inherited the kingdom of Israel, and a massive amount of wealth that he can invest, he wants to plan for his "retirement." Since he doesn't know how long he'll live, and data on life expectancy is scarce, he reasons that he just wants a regular "cash flow" over the course of his life. With that in mind, how many shekels would he need to deposit at 20 percent interest compounded every year in order to be able to withdraw 50 shekels at the end of every year for seventy years?
4) How much money will be in a bank account at the end of 15 years if $100 is deposited today and the interest rate is 8 percent compounded annually?
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?
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