Jane wants to set aside funds to take an around the world cruise in four years. Jane expects that she will need $18000 for her dream vacation. If she is able to earn 12% per annum on an investment, how much will she need to set aside at the beginning of each year to accumulate sufficient fund

Respuesta :

Answer:

$5,926.21

Explanation:

Jane  needs 18,000

The interest rate is 12%

The time is four years

the applicable formula to calculate

P   = PV × {r /( 1 − (1+r)−n )}

where P= monthly

PV = 18,000

r = 12% 0r 0.12

n= 4

P = 18,000 x{ 0.12/(1-(1+0.12)4

=18,000 x (0.12 /1-(1.12)4

=18,000 x( 0.12 / 1-0.63551807)

=18,000 x (0.12/0.364482)

=18,000 x0.364482

=$5,926.21

$11, 439 is the needed amount for Jane. Future Value (FV) is the process of calculating the value of cash inflows at a future date depending on the rate of return (ROR) that has been determined.

It is critical to investors who are continually looking for improved investment options in the financial planning concept. Higher future values may result from a higher rate of return (HROR) and longer terms.

COMPUTATION:

[tex]\text{Amount (A)} = 18,000\\\\n = 4\\4 = 0.12\\\\\text{Amount Invested (P)} = ?\\\\A = P(1+r)^{n}\\\\18,000 = P(1+0.12)^{4}\\\\18,000 =P (1.12)^{4}\\\\[/tex]

[tex]18,000 = P (1.57351936)[/tex]

[tex]P = \frac{18,000}{1.57351936}[/tex]

[tex]P = 11,439.325[/tex]

As a result, she'll need to set aside $11, 439 today to fulfill her objective i.e., to go on a world tour cruise.

Learn more about the future value here:

https://brainly.com/question/19340078?referrer=searchResults

Q&A Education