Problema Solution

Manually calculate the compound amount and compound interest for the following investment.

Principal Time

Period (years) Nominal

Rate (%) Interest

Compounded Compound

Amount Compound

Interest

Principal Time Period (years) Rate (%)

$8,000 3 8 semiannually

Compound

Amount Compound interest

$ $

Answer provided by our tutors

Beginning of the year: $8,000

After 6 months: 8000 + (0.08/2)*8000 = $8,320

After 12 months (1 year): 8,320 + (0.08/2)*8,320= $8,652.8

After 18 months: 8,652.8 + (0.08/2)*8,652.8 = $8,998.912

After 24 months (2 years): 8,998.912 + (0.08/2)*8,998.912 = $9,358.86848

After 30 months: 9,358.86848 + (0.08/2)*9,358.86848 = $9,733.22322

After 36 months (3 years): 9,733.22322 + (0.08/2)*9,733.22322 = $10,122.5521

The compound interest is: 10,122.5521 - 8,000 = $2,122.55215.