You invest a single amount of $10,000 for 5 years at 10 percent. At the end of 5 years you take the proceeds and invest them for 12 years at 15 percent. How much will you have after 17 years

Respuesta :

Answer:

$86,166.31

Explanation:

We use future value (FV) formula as follows:

Step 1: Calculation of amount to have after five years:

Five years FV = $10,000 × (1 + 0.1)^5

                       = $10,000 × (1.01)^5

                       = $10,000 × 1.61051  

Five years FV = $16,105.10  

Therefore, $16,105.10  will be realized after five years.

Step 2: Calculation of amount to have after twelve years:

Twelve years FV = $16,105.10 × (1 + 0.15)^12

                            = $16,105.10 × (1.15)^12

                            = $16,105.10 × 5.35025010547371  

Twelve  years FV = $86,166.31  

Therefore, you will have $86,166.31 after 17 years.

To invest is to own an asset or an item with the aim of obtaining income from it or benefitting from the improvement of your investment, which is an increase in the object's value over time.

The return on investment after 17 years is $86,166.31

To calculate the future value (FV) formula is as follows:

Step 1: Calculation of amount to have after five years:

[tex]\text{Five years FV} = \$10,000 \times (1 + 0.1)^5 = $10,000 \times (1.01)^5 = $10,000 \times 1.61051[/tex]

Five years FV = $16,105.10  

Therefore, $16,105.10  will be realized after five years.

Step 2: Calculation of amount to have after twelve years:

[tex]\text{Twelve years FV} = \$16,105.10 \times (1 + 0.15)^{12} = $16,105.10 \times (1.15)^{12} = $16,105.10 \times 5.35025010547371[/tex]

Twelve  years FV = $86,166.31  

Therefore, you will have $86,166.31 after 17 years.

To know more about the return on investment, refer to the link below:

https://brainly.com/question/17094556