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Multiple Choice
Using a time value of money table, what is the future value interest factor (FVIF) for an interest rate of 10\% over 2 years?
A
1.10
B
1.02
C
1.21
D
1.20
Verified step by step guidance
1
Understand the concept of Future Value Interest Factor (FVIF): FVIF is a multiplier used to calculate the future value of a sum of money based on a specific interest rate and time period. It is derived from the formula FV = PV × FVIF, where FV is the future value, PV is the present value, and FVIF is the factor.
Identify the formula for FVIF: The formula for FVIF is FVIF = (1 + r)^n, where 'r' is the interest rate (expressed as a decimal) and 'n' is the number of periods.
Substitute the given values into the formula: In this problem, the interest rate (r) is 10%, which is equivalent to 0.10, and the number of years (n) is 2. The formula becomes FVIF = (1 + 0.10)^2.
Simplify the expression: Add 1 to the interest rate to get 1.10, then raise this value to the power of 2. This step involves calculating (1.10)^2.
Use the time value of money table: Locate the FVIF value for an interest rate of 10% over 2 years in the table. This value should match the calculation from the formula.