In 2 The doubling function D(r) = gives the number of years required to double your money when it is invested at interest rate r (expressed as a decimal), compounded annually. How long does it take to double In (1+r) your money at each of the following rates? (a) 6% (b) 9% (c) 18% (d) 24% (e) Round each of your answers in parts (a)-(d) to the nearest year, and compare them with these numbers 72/6, 72/9, 72/18, and 72/24. Use this evidence to state a "rule of thumb" for determining approximate doubling time without employing the function D. This rule is called the rule of 72. In 2 (a) Since the doubling function D(r) = In (1+r) uses r expressed as a decimal, convert the rate 6% to a decimal. 6% = 0.06 Substitute r=0.06 in the doubling function and evaluate. In 2 In (1+r) In 2 In (1.06 D(r) = ~ 11.90 (Type an integer or decimal rounded to the nearest hundredth as needed.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
Question
100%

hello for this question may someone let me know how to correctly plug in the formula to get a final answer of (11.90) as stated in the picture? (11.90)

 

1. question states: The doubling function

D(r)=ln2ln(1+r)

gives the number of years required to double your money when it is invested at interest rate r​ (expressed as a​ decimal), compounded annually. How long does it take to double your money at each of the following​ rates?

In 2
The doubling function D(r) = In (1 + r) gives the number of years required to double your money when it is invested at interest rate r (expressed as a decimal), compounded annually. How long does it take to double
your money at each of the following rates?
(a) 6%
(b) 9%
(c) 18%
(d) 24%
(e) Round each of your answers in parts (a)-(d) to the nearest year, and compare them
with these numbers 72/6, 72/9, 72/18, and 72/24. Use this evidence to state a "rule
of thumb" for determining approximate doubling time without employing the
function D. This rule is called the rule of 72.
In 2
(a) Since the doubling function D(r)= In (1 + r) uses r expressed as a decimal, convert the rate 6% to a decimal.
6% = 0.06
Substitute r=0.06 in the doubling function and evaluate.
In 2
In (1+r)
In 2
In (1.06)
D(r) =
~ 11.90|
(Type an integer or decimal rounded to the nearest hundredth as needed.)
It will take approximately 11.90 years at a rate of 6% to double the invested money.
In 2
Transcribed Image Text:In 2 The doubling function D(r) = In (1 + r) gives the number of years required to double your money when it is invested at interest rate r (expressed as a decimal), compounded annually. How long does it take to double your money at each of the following rates? (a) 6% (b) 9% (c) 18% (d) 24% (e) Round each of your answers in parts (a)-(d) to the nearest year, and compare them with these numbers 72/6, 72/9, 72/18, and 72/24. Use this evidence to state a "rule of thumb" for determining approximate doubling time without employing the function D. This rule is called the rule of 72. In 2 (a) Since the doubling function D(r)= In (1 + r) uses r expressed as a decimal, convert the rate 6% to a decimal. 6% = 0.06 Substitute r=0.06 in the doubling function and evaluate. In 2 In (1+r) In 2 In (1.06) D(r) = ~ 11.90| (Type an integer or decimal rounded to the nearest hundredth as needed.) It will take approximately 11.90 years at a rate of 6% to double the invested money. In 2
Expert Solution
Step 1

Any sum infused to earn returns or create wealth is regarded as an investment. Every investment earns a specified return each period. Using this return rate, an investor can estimate in what duration the desired accumulated investment is earned. There are multiple methods and techniques that can be employed to determine the time period. The duration function and rule of 72 are among them.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

hi im looking at the solution above and have a quuestion-im a little
puzzled on exactly how i should be plugging in the numbers
for example, the chart liists Time (ln2/(ln(1+r)) but how exactly should i type this in my calculator
to get =l3/J3? maybe im overthinking it

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Techniques of Time Value Of Money
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education