
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Question
![### How to Avoid Paying Interest and Save for Big Purchases Using An Annuity
#### Concept Overview:
Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved.
#### Future Value Formula:
The future value formula for an annuity is:
\[ A = \frac{12M \left[ \left(1 + \frac{r}{12} \right)^{12t} - 1 \right]}{r} \]
where:
- \( M \) is the regular monthly payment,
- \( r \) is the annual interest rate in decimal form,
- \( t \) is the term of the annuity in years.
#### Example Calculation:
If you chose an annuity with a term of two years at 4.8% and a monthly payment of $120, the future value would be $3,016.45.
#### Activity:
Recalculate the future value amount if you're willing to raise your monthly payment by $20 per month. Round your answer to the nearest cent.
The formula to input your calculated future value is shown in the provided interface below.
**Input Interface:**
- A box labeled "The future value would be $_____" for entering your calculated amount.
Use this information to plan your savings effectively and avoid unnecessary interest payments.](https://content.bartleby.com/qna-images/question/af54cc92-fe70-42ec-a5a5-6c03b8447a69/47ac0437-456a-4b80-8bda-f7f015cbab5d/nrlvmkg_thumbnail.jpeg)
Transcribed Image Text:### How to Avoid Paying Interest and Save for Big Purchases Using An Annuity
#### Concept Overview:
Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved.
#### Future Value Formula:
The future value formula for an annuity is:
\[ A = \frac{12M \left[ \left(1 + \frac{r}{12} \right)^{12t} - 1 \right]}{r} \]
where:
- \( M \) is the regular monthly payment,
- \( r \) is the annual interest rate in decimal form,
- \( t \) is the term of the annuity in years.
#### Example Calculation:
If you chose an annuity with a term of two years at 4.8% and a monthly payment of $120, the future value would be $3,016.45.
#### Activity:
Recalculate the future value amount if you're willing to raise your monthly payment by $20 per month. Round your answer to the nearest cent.
The formula to input your calculated future value is shown in the provided interface below.
**Input Interface:**
- A box labeled "The future value would be $_____" for entering your calculated amount.
Use this information to plan your savings effectively and avoid unnecessary interest payments.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 1 images

Knowledge Booster
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
- Use a calculator to evaluate an ordinary annuity formula for m, r, and t (respectively). Assume monthly payments. (Round your answer to the nearest cent.) $20; 4%; 30 yr A = $arrow_forwardSee Picarrow_forwardAnnuity Present Value Inputs Payment $80 Discount Rate/Period 6% Number of Periods Present Value using a Time Line Period 1 2 4 Cash Flows 80 80 80 80 80 Present Value of Each Cash Flow 75.4717 71.19972 67.16954 63.36749 59.78065 Present Value Annuity Present Value using the Formula Present Value Annuity Present Value using the PV Function Present Valuearrow_forward
- Please answer this question: What is the value at the end of Year 3 of the following cash flow stream if interest is 4% compounded semiannually? (Hint: you can use the EAR and treat the cash flows as an ordinary annuity or use the periodic rate and compound the cash flows individually.) What is the PV? What would be wrong with your answer to parts I(1) and I(2) if you used the nominal rate, 4%, rather than the EAR or the periodic rate, I sow /2=4%/2=2%, to solve the problems?arrow_forwardUSING FORMULAS, NO TABLESarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author: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 ProfessorPublisher:McGraw-Hill Education

Essentials Of Investments
Finance
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Mcgraw-hill Education,



Foundations Of Finance
Finance
ISBN:9780134897264
Author:KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:Pearson,

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...
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