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Keiko is looking at the following investment choices and wants to know what annual rate of return each choice produces.
a. invest $ and receive $ in years.
b. invest $ and receive $ in years

Sagot :

Keiko is looking at the following investment choices and wants to know what annual rate of return each choice produces:

a. invest $ and receive $ in years.

b. invest $ and receive $ in years

Mentioned Below:-

a. 5.18%;

b. 10.12%;

c. 6.32%;

d. 9.22%.

We apply the formula of Annual rate of return to calculate the four cases.

The formula for calculating the annual rate of return is as below:

Annual rate of return =  [tex]year\sqrt{Endingvalue/Beginningvalue}[/tex]-1 ;

So, for each of the cases given, by applying the formula, the detailed calculations for each case will be:

+ For case a :

[tex]12\sqrt{769.5/420}-1[/tex] = 5.18%;

+ For case b:

[tex]14\sqrt{11,567.45/3,000}-1[/tex] = 10.12%;

+ For case c:

[tex]20\sqrt{110,000/32,303.47} -1[/tex] = 6.32%;

+ For case d:

[tex]40\sqrt{1,100,000/32,275.63} -1[/tex] = 9.22%.

A purchase made with the intention of creating income or capital growth is known as an investment. An asset's value increasing over time is referred to as appreciation. When a person invests in a good, they do not intend to utilize it as a source of immediate consumption, but rather as a tool for future wealth creation.

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