In: Finance
1. An investor purchases 400 shares at $21.40 a share, holds the stock for 30 weeks, and then sells the stock for $24.60 a share. Use the commission schedule below from Company A to find the annual rate of interest earned by the investment.
Company A
Principal
Under $3,000
$3,000-$10,000
Over $10,000
Commission
$25 + 1.8% of principal
$37 + 1.4% of principal
$107 + 0.7% of principal
2. Find the annual percentage yield (APY) for money invested at an annual rate of (a) 3.05% compounded quarterly. (b) 2.95% compounded continuously. As an investor what is the preferable interest plan?
1.Annual rate of interest earned by the investment
Annual rate of interest earned by the investment = 18.86%
2. Annual Percentage Yield (APY)
The Annual Percentage Yield of quarterly compounding is 3.085% which is higher than the Annual Percetage Yield of continuous compounding of 2.994% . Hence, the investor should prefer quarterly compounding of 3.05% as the return is higher.