# Compound Interest: To what amount will the following investments accumulate?

***Please show work in how you arrived at the answers

(Compound interest) To what amount will the following investments accumulate?

a. $5,000 invested for 10 years at 10 percent compounded annually

b. $8,000 invested for 7 years at 8 percent compounded annually

c. $775 invested for 12 years at 12 percent compounded annually

d. $21,000 invested for 5 years at 5 percent compounded annually

(Present value) What is the present value of the following future amounts?

a. $800 to be received 10 years from now discounted back to the present at 10 percent

b. $300 to be received 5 years from now discounted back to the present at 5 percent

c. $1,000 to be received 8 years from now discounted back to the present at 3 percent

d. $1,000 to be received 8 years from now discounted back to the present at 20 percent

(Compound annuity) What is the accumulated sum of each of the following streams of

payments?

a. $500 a year for 10 years compounded annually at 5 percent

b. $100 a year for 5 years compounded annually at 10 percent

c. $35 a year for 7 years compounded annually at 7 percent

d. $25 a year for 3 years compounded annually at 2 percent

(Present value of an annuity) What is the present value of the following annuities?

a. $2,500 a year for 10 years discounted back to the present at 7 percent

b. $70 a year for 3 years discounted back to the present at 3 percent

c. $280 a year for 7 years discounted back to the present at 6 percent

d. $500 a year for 10 years discounted back to the present at 10 percent

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#### Solution Preview

** See Excel file for further details **

(Compound interest) To what amount will the following investments accumulate?

a. $5,000 invested for 10 years at 10 percent compounded annually

b. $8,000 invested for 7 years at 8 percent compounded annually

c. $775 invested for 12 years at 12 percent compounded annually

d. $21,000 invested for 5 years at 5 percent compounded annually

We will use following formulae:

F=P*((1+r)^n

F=Future value, P= Principal r= rate of interest n=duration

a. $5,000 invested for 10 years at 10 percent compounded annually

Here P=5000, r=10%, n=10

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#### Solution Summary

This solution provides the formula and steps to determine the required amounts, formated with calculations in an attached Excel file.