Question

Time Value of Money: Basics Using the equations and tables in Appendix 25A this chapter, determine the answers to each of the following independent situations. Round answers to the nearest whole number. (a) The future value in two years of $3,000 deposited today in a savings account with interest compounded annually at 6 percent.

Answer 1

Answer:

Present value (PV) = $3,000

Interest rate (r) = 6% = 0.06

Number of years (n) = 2 years

Future value (FV) = ?

FV = PV(1 + r)n

FV = $3,000(1 + 0.06)2

FV = $3,000(1.06)2

FV= $3,000 x 1.1236

FV = $3.370.80                                                                                                                                                                                                                                                                                    

Explanation:

In this case, there is need to compound the present value for 2 years at 6% interest per annum. The formula to be applied is the formula for future value of a lump sum (single investment).