### Investment Problem **Question:** Sally Ross has $19,000 to invest today at 9% to pay a debt of $37,859. How many years will it take her to accumulate enough to liquidate the debt? *(Round answer to 0 decimal places, e.g., 45.)* **Input Box:** - [___________] years #### Explanation: This problem involves calculating the time required for an investment to grow to a certain amount using a specified interest rate. Sally aims to accumulate sufficient funds with an initial investment of $19,000 at an annual interest rate of 9% to pay off a debt of $37,859. The solution requires using the formula for compound interest: \[ A = P(1 + r)^t \] Where: - \( A \) is the amount of money accumulated after n years, including interest. - \( P \) is the principal amount ($19,000 in this case). - \( r \) is the annual interest rate (0.09 here). - \( t \) is the time the money is invested for in years. The task is to find \( t \) when \( A = 37,859 \).
### Investment Problem **Question:** Sally Ross has $19,000 to invest today at 9% to pay a debt of $37,859. How many years will it take her to accumulate enough to liquidate the debt? *(Round answer to 0 decimal places, e.g., 45.)* **Input Box:** - [___________] years #### Explanation: This problem involves calculating the time required for an investment to grow to a certain amount using a specified interest rate. Sally aims to accumulate sufficient funds with an initial investment of $19,000 at an annual interest rate of 9% to pay off a debt of $37,859. The solution requires using the formula for compound interest: \[ A = P(1 + r)^t \] Where: - \( A \) is the amount of money accumulated after n years, including interest. - \( P \) is the principal amount ($19,000 in this case). - \( r \) is the annual interest rate (0.09 here). - \( t \) is the time the money is invested for in years. The task is to find \( t \) when \( A = 37,859 \).
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
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Step 1
It can be calculated using Nper function in excel
=NPER(rate,pmt,pv,[fv],[type])
- Rate The interest rate for the loan.
- Nper The total number of payments for the loan.
- Pmt payment per period
- Pv The present value
- Fv The future value
- Type The number 0 (zero) or 1 and indicates when payments are due.
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