Find the future value of an investment of $1000 invested at 10% for two years?

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Elin HesselLv2

17 Jan 2019

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Sophie invests $12 000 at an interest rate of 3.8%, compounded quarterly (four times per year). How long will it take for Sophie’s investment to reach $30 000? Express your answer in years, correct to 1 decimal place.

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harlequinmole623

Blair & Rosen, Inc. (B&R) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $55,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 11%, while the Blue Chip fund has a projected annual return of 7%. The investment advisor requires that at most $25,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 230.

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Find the accumulated (future) value of a continuous annuity at an annual rate of 8% compounded continuously for 10 years, if cash flows into the account at time at a rate of 300 dollars per year. Round your answer to the nearest dollar.

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