14. Alicia owns two investments, A and B, that have a combined total value of $31,300. Investment A is expected to pay $24,800 in 4 years from today and has an expected return of 12.72 percent per year. Investment B is expected to pay $27,100 in T years from today and has an expected return of 8.19 percent per year. What is T, the number of years from today that investment B is expected to pay $27,100?

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
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14. Alicia owns two investments, A and B, that have a combined
total value of $31,300. Investment A is expected to pay $24,800 in
4 years from today and has an expected return of 12.72 percent per
year. Investment B is expected to pay $27,100 in T years from
today and has an expected return of 8.19 percent per year. What is
T, the number of years from today that investment B is expected to
pay $27,100?
(Fall 2011, test 1, question 3)
(Spring 2012, final, question 1)
(Spring 2016, final, question 1)
(Fall 2017, test 1, question 3)
(Spring 2018, final, question 1)
Transcribed Image Text:14. Alicia owns two investments, A and B, that have a combined total value of $31,300. Investment A is expected to pay $24,800 in 4 years from today and has an expected return of 12.72 percent per year. Investment B is expected to pay $27,100 in T years from today and has an expected return of 8.19 percent per year. What is T, the number of years from today that investment B is expected to pay $27,100? (Fall 2011, test 1, question 3) (Spring 2012, final, question 1) (Spring 2016, final, question 1) (Fall 2017, test 1, question 3) (Spring 2018, final, question 1)
Expert Solution
Step 1

Calculate the amount of investment A (P A) by equating the total amount which is $24,800 with the sum of principal (P A) and simple interest formula. Here 'P A' represents the principal amount invested in Investment A, 'R' represents the interest rate which is 12.72% and 'T' represents the time of investment A which is 4 years.

Finance homework question answer, step 1, image 1

Thus, the amount of investment A is $16,436.90.

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