Question
Suppose you bought Apple stock in April. If you later sold at one of the marked dates on the chart, which of those dates would have given you the largest annual loss (on a simple interest basis), and what would that loss have been?
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Suppose you bought Apple stock in January 2008 . If you later sold at one of the marked dates on the chart, which of those dates would have given you the largest annual return (on a simple interest basis), and what would that return have been?
The Mathematics of Finance
Simple Interest
Are based on the following chart, which shows monthly figures for Apple Inc. stock in $2008 .^{14}$ Marked are the following points on the chart: $$\begin{array}{|c|c|c|c|c|c|} \hline \text { Jan. 2008 } & \text { Feb. 2008 } & \text { Mar. 2008 } & \text { Apr. 2008 } & \text { May 2008 } & \text { June 2008 } \\ \hline 180.05 & 125.48 & 122.25 & 153.08 & 183.45 & 185.64 \\ \hline \text { July 2008 } & \text { Aug. 2008 } & \text { Sep. 2008 } & \text { Oct. 2008 } & \text { Nov. 2008 } & \text { Dec. 2008 } \\ \hline 172.58 & 169.55 & 160.18 & 96.80 & 98.24 & 94.00 \\ \hline \end{array}$$ Suppose you bought Apple stock in April. If you later sold at one of the marked dates on the chart, which of those dates would have given you the largest annual loss (assuming annual compounding), and what would that loss have been?
Compound 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: $$\begin{array}{|c|c|c|c|c|c|}\hline \text { Jan. 10 } & \text { Feb. 10 } & \text { Mar. 10 } & \text { Apr. 10 } & \text { May 10 } & \text { June 10 } \\\hline 211.98 & 195.46 & 218.95 & 235.97 & 235.86 & 255.96 \\\hline \text { July 10 } & \text { Aug. 10 } & \text { Sep. 10 } & \text { Oct. 10 } & \text { Nov. 10 } & \text { Dec. 10 } \\\hline 246.94 & 260.09 & 258.77 & 294.07 & 317.13 & 317.44 \\\hline\end{array}$$ Suppose you bought Apple stock in April. If you later sold on one of the marked dates on the chart, which of those dates would have given you the largest annual return (assuming annual compounding), and what would that return have been?
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