Question

An investor purchases a share of Synovous Bank stock this morning for $2.80. The investor believes the economy will take one of three conditions in the coming year, and each condition will have an impact on the selling price of the stock. The investor's beliefs about the economy are shown below: OUTCOME: Probability Synovous Price in One Year Bad for Banks 0.38 $2.55 Moderate for Banks 0.41 $2.92 Good for Banks 0.21 $3.33 What is the standard deviation for Synovous returns (based on the investor's returns)? Submit Answer format: Percentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924))

Answer 1

A B C D E F G H Outcome Prob Bad 0.38 Modrate 0.41 | Good 0.21 Price 2.55 2.92 3.33 Return -8.93% 4.29% 18.93% -3.39% 1.76% 3.98% 0.48% 0.02% 0.58% Expected return 2.34% 10.37%

Font Number Cells Clipboard A B C D Alignment E Styles I F G H Outcome Bad Modrate Good Prob Price 0.38 2.55 0.41 2.92 0.21 3.33 Return =(E6-2.8)/2.8 =F6*D6 =(F6-$E$11)^2*D6 =(E7-2.8)/2.8 =F7*D7 =(F7-$E$11)^2*D7 =(E8-2.8)/2.8 =F8*D8 =(F8-$E$11)^2*D8 =SUM(G6:48) Expected return SD =SQRT(SUM(H6:H8)) 17