Question
Calculate to the nearest $0.01 \%$ your annual percentage return (on a simple interest basis) if you had bought Apple stock in February and sold in June.
Step 1
Let's denote the price in February as $P_{Feb}$ and the price in June as $P_{Jun}$. Show more…
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Calculate to the nearest $0.01 \%$ your annual percentage loss (on a simple interest basis) if you had bought Apple stock in June and sold in December.
The Mathematics of Finance
Simple Interest
Stock Investments are based on the following chart, which shows monthly figures for Apple stock in $2010:^{17}$ Marked are the following points on the chart: $$\begin{array}{|c|c|c|c|c|c|}\hline \text { Jan. 10 } & \text { Feb. 10 } & \text { Mar. 10 } & \text { Apr. 10 } & \text { May 10 } & \text { June 10 } \\\hline 211.98 & 195.46 & 218.95 & 235.97 & 235.86 & 255.96 \\\hline \text { July 10 } & \text { Aug. 10 } & \text { Sep. 10 } & \text { Oct. 10 } & \text { Nov. 10 } & \text { Dec. 10 } \\\hline 246.94 & 260.09 & 258.77 & 294.07 & 317.13 & 317.44 \\\hline\end{array}$$ Calculate to the nearest $0.01 \%$ your annual percentage return (assuming annual compounding) if you had bought Apple stock in February and sold in June.
Compound Interest
Find the effective annual interest rate r of the given nominal annual interest rate. Round your answer to the nearest 0.01%. 10% compounded monthly
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