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# annual percentage yield

1. For the following problems, determine how many years it will take for the two accounts to reach the same amount.

A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
A 2000 dollar investment at a rate of 4% compounded continuously and a 3000 dollar investment at a rate of 5% compounded monthly.

2. Calculate the annual percentage yield for each investment.

A. A savings account paying an annual rate of 4 percent compounded quarterly.
B. A checking account paying an annual rate of 1.5 percent compounded daily.

3.What is the future value if \$4900 is invested for 3 years at an annual rate of 12% compounded monthly?

4. What is the annual percentage yield (or effective annual rate) for a nominal rate of 7.3% compounded quarterly?

#### Solution Preview

Problem #1
(a) Suppose after t years, the two accounts reach the same amount.
For the first account with \$1000, after t years, its balance is
1000 * (1 + 0.03/12)^(12t) = 1000 * 1.0025^(12t)
For the second account with \$1100, after t years, its balance is
...

#### Solution Summary

The annual percentage yield is examined.

\$2.19