Question

You saved 20,000.00 and want to diversify your monies. you invest 45% in a Treasury bond for 3 years at 4.35% APR compounded annually. You place 15% in a CD at 3.75% APR for 3 years compounded annually. 20% you invest in a stock plan and the remainder is in a savings account at 2.90% APR compounded annually. The stock plan increases 8% the first year, decreases in value by 4% the second year, and increases by 6% the third year

1. What are the balances for each type of investment at the end of the third year?
2. What is your total gain from all of the investments combined?
3. If you had invested 45% in stock and 20% in Treasury bonds, would you have more or less of a gain after the three years?

Answer 1

1.

$9,000 x ((1+0.0435)^3) = $10,226.33

$3,000 x ((1+0.0375)^3) = $3,350.31

(($4,000 x (1+0.08))x (1-0.04)) x (1+0.06) = $4,396.03

$4,000 x ((1+0.029)^3) = $4,358.19

2.

$22,330.87 - $20,000 = $2,330.87

3.

$4,000 x ((1+0.0435)^3) = $4,545.04

$3,000 x ((1+0.0375)^3) = $3,350.31

(($9,000 x (1+0.08))x (1-0.04)) x (1+0.06) = $9,891.07

$4,000 x ((1+0.029)^3) = $4,358.19

Total Gain on new split: $22,144.61 - $20,000 = $2,144.61

Option with highest yield: 40% Treasury Bonds, 20% stocks

Explanation: