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7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 2.3, Problem 47E

Textbook Problem

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**Long-Term Investments** Exercises 41-48 are based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2014.^{37} **[HINT:** See Example 2.**]**

Country |
U.S. | Japan | Germany | Australia | Brazil |

Yield |
2.5% | 0.5% | 1.0% | 3.5% | 4.2% |

If the interest on a long-term U.S. investment is compounded continuously, how long will it take the value of an investment to double? (Give the answer correct to two decimal places.)

To determine

**To calculate:** The time required for an investment to be double its value in U.S. if the interest is compounded continuously.

**Given Information:**

The returned amount is double of its investment amount.

The interest is compounded continuously.

The interest rate table is,

Country | U.S. | Japan | Germany | Australia | Brazil |

Yield | 2.5% | 0.5% | 1.0% | 3.5% | 4.2% |

**Formula used:**

The relation between growth constant and doubling time if interest is compounded continuously is,

Here,

The relation between growth constant and rate of interest if interest is compounded continuously is,

Here

**Calculation:**

The rate of interest in U.S. is 2.5%.

Substitute

Applied Calculus

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A sales manager collected the following data on annual sales for new customer accounts and the number of years ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Balls numbered from 1 to 42 are placed in a container. If one is drawn at random, find the probability of each ...

College Algebra (MindTap Course List)

For each of the following problems, substitute the given values in the formula and solve for the unknown. Check...

Mathematics For Machine Technology

A researcher evaluates a new cholesterol medication by measuring cholesterol levels for a group of patients bef...

Research Methods for the Behavioral Sciences (MindTap Course List)