Respuesta :
Your interest formula is given to you.
Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)
Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100
How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving.
Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782
How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.
Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring)
Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100
How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving.
Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782
How much buying power did you lose? The difference between your required interest and your actual interest.
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.
Answer;
= $ 682
Solution and explanation;
-We can calculate the buying power loss in three steps.
Step 1 - Interest made in a year.
-Interest in a year = savings amount * interest rate * time
-Interest in a year = $55,000 * 2% * 1 year
-Interest in a year = $1,100
Step 2- Amount needed to be made to keep up with inflation in that year;
-Amount to keep up with inflation = $55,000 * 3.24% * 1 year
-Amount to keep up with inflation = $ 1,782
Step 3- Buying power loss that year;
-Buying power loss = Amount needed to keep up with inflation - interest
-Buying power loss = $1,782 - $1,100
Buying power loss = $682