Compound Interest Factors Are Provided Below Using the Above Factors, Answer Each of the Following Questions

question 61

Essay

Compound interest factors are provided below: $\begin{array}{lcccc}&5\%,n=10&5\%,n=20&10\%,n=10&10\%,n=20\\\hline\text { Future value of a single sum } & 1.629 & 2.653 & 2.594 & 6.728 \\\text { Future value of an ordinary annuity } & 12.578 & 33.067 & 15.937 & 57.275 \\\text { Present value of a single sum } & 0.614 & 0.377 & 0.386 & 0.149 \\\text { Present value of an ordinary annuity } & 7.722 & 12.462 & 6.145 & 8.514 \\\text { Present value of an annuity due } & 8.108 & 13.085 & 6.759 & 9.365 \\\end{array}$
Using the above factors, answer each of the following questions.
a. How much will you have in 10 years if you invest $30,000 in an investment that earns 10%
semiannually?
b. How much do you have to invest today to have $30,000 in 10 years if the investment earns
10% annually?
c. How much will you have in 10 ysears if you invest $15,000 at the end of each year in an investment earning 10% annually?
d. How much do you have to invest today and every six months thereafter for the next 10 years if you want to accumulate a total of $400,000 10 years from today in an investment paying 10% semiannually?

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Definitions:

Cooperation

The process of working together towards a common goal or interest, usually characterized by mutual benefit.

Intimate Space

Refers to the physical distance considered comfortable for communication between close friends or family members, typically within 18 inches.

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The physical space over which a person or group claims ownership or control, influencing social interactions.

Intimate Space Zone

The physical space immediately surrounding an individual, usually reserved for close friends, family, or romantic partners, where personal interactions occur.