Question

In: Finance

Date End of Month Stock Price (ABB) Dividend (end of month) 2012/03 SEK 29,25 SEK 0,00...

Date End of Month Stock Price (ABB) Dividend
(end of month)
2012/03 SEK 29,25 SEK 0,00
2012/04 SEK 27,75 SEK 0,00
2012/05 SEK 29,00 SEK 0,12
2012/06 SEK 27,13 SEK 0,00
2012/07 SEK 27,88 SEK 0,00
2012/08 SEK 25,25 SEK 0,26
2012/09 SEK 26,13 SEK 0,00
2012/10 SEK 26,88 SEK 0,00
2012/11 SEK 27,13 SEK 0,31
2012/12 SEK 29,25 SEK 0,00
2013/01 SEK 29,75 SEK 0,00
2013/02 SEK 29,00 SEK 0,31
2013/03 SEK 30,75 SEK 0,00
2013/04 SEK 31,13 SEK 0,00
2013/05 SEK 28,75 SEK 0,35
2013/06 SEK 28,25 SEK 0,00
2013/07 SEK 28,88 SEK 0,00
2013/08 SEK 29,50 SEK 0,35
2013/09 SEK 31,25 SEK 0,00
2013/10 SEK 34,38 SEK 0,00
2013/11 SEK 35,88 SEK 0,35
2013/12 SEK 36,50 SEK 0,00
2014/01 SEK 32,38 SEK 0,00
2014/02 SEK 32,38 SEK 0,39
2014/03 SEK 33,50 SEK 0,00
2014/04 SEK 31,25 SEK 0,00
2014/05 SEK 31,25 SEK 0,39
2014/06 SEK 32,75 SEK 0,00
2014/07 SEK 32,25 SEK 0,00
2014/08 SEK 32,13 SEK 0,39
2014/09 SEK 32,88 SEK 0,00
2014/10 SEK 31,38 SEK 0,00
2014/11 SEK 34,75 SEK 0,42
2014/12 SEK 37,50 SEK 0,00
2015/01 SEK 38,00 SEK 0,00
2015/02 SEK 40,88 SEK 0,42
2015/03 SEK 43,00 SEK 0,00
2015/04 SEK 45,13 SEK 0,00
2015/05 SEK 43,69 SEK 0,42
2015/06 SEK 43,00 SEK 0,00
2015/07 SEK 48,56 SEK 0,00
2015/08 SEK 51,00 SEK 0,42
2015/09 SEK 56,56 SEK 0,00
2015/10 SEK 64,81 SEK 0,00
2015/11 SEK 45,81 SEK 23,68
2015/12 SEK 51,88 SEK 0,00
2016/01 SEK 59,00 SEK 0,00
2016/02 SEK 57,00 SEK 0,42
2016/03 SEK 44,63 SEK 0,00

(a). Calculate the realized return over all months, expressing your answer in percent per month.

Answer: the realized monthly return _________is %. (round to four decimals)

(b). Calculate the arithmetic average monthly return over the entire period, expressing your answer in percent.

Answer: the arithmetic average return _________is %. (round to four decimals)

(c). Calculate the standard error of average monthly return over the entire period, expressing your answer in percent.

Answer: the standard error of the estimated average return __________is %. (round to four decimals)

(d). Calculate the lower bound of the 95% confidence interval for the average monthly return over the entire period, expressing your answer in percent. Do not apply the exact 2.5% quantil of the normal distribution, but use an approximation.

Answer: the lower bound of the 95% confidence interval is__________ %. (round to four decimals)

Solutions

Expert Solution

Date End of Month Stock Price (ABB) Dividend (end of month) Monthly return = ((current EOM price + Current month dividend)/Last EOM price)-1 Arithmatic average return = (sum of monthly return)/(No. of months) Standard Deviation = sqrt(Σ((Monthly return - Arithmatic average return)^2)/(No. of months -1)) Standard error = standard deviation / sqrt (no. of months -1) Z score for 95% confidence interval Lower bound of 95% confidence interval = Mean - (1.96)*(stddev/sqrt(no. of months))
2012/03 29.25 0 1.5937% 0.08209326 0.011849141 1.96 -0.007287209
2012/04 27.75 0 -5.1282%
2012/05 29 0.12 4.9369%
2012/06 27.13 0 -6.4483%
2012/07 27.88 0 2.7645%
2012/08 25.25 0.26 -8.5007%
2012/09 26.13 0 3.4851%
2012/10 26.88 0 2.8703%
2012/11 27.13 0.31 2.0833%
2012/12 29.25 0 7.8142%
2013/01 29.75 0 1.7094%
2013/02 29 0.31 -1.4790%
2013/03 30.75 0 6.0345%
2013/04 31.13 0 1.2358%
2013/05 28.75 0.35 -6.5210%
2013/06 28.25 0 -1.7391%
2013/07 28.88 0 2.2301%
2013/08 29.5 0.35 3.3587%
2013/09 31.25 0 5.9322%
2013/10 34.38 0 10.0160%
2013/11 35.88 0.35 5.3810%
2013/12 36.5 0 1.7280%
2014/01 32.38 0 -11.2877%
2014/02 32.38 0.39 1.2044%
2014/03 33.5 0 3.4589%
2014/04 31.25 0 -6.7164%
2014/05 31.25 0.39 1.2480%
2014/06 32.75 0 4.8000%
2014/07 32.25 0 -1.5267%
2014/08 32.13 0.39 0.8372%
2014/09 32.88 0 2.3343%
2014/10 31.38 0 -4.5620%
2014/11 34.75 0.42 12.0778%
2014/12 37.5 0 7.9137%
2015/01 38 0 1.3333%
2015/02 40.88 0.42 8.6842%
2015/03 43 0 5.1859%
2015/04 45.13 0 4.9535%
2015/05 43.69 0.42 -2.2601%
2015/06 43 0 -1.5793%
2015/07 48.56 0 12.9302%
2015/08 51 0.42 5.8896%
2015/09 56.56 0 10.9020%
2015/10 64.81 0 14.5863%
2015/11 45.81 0.68 -28.2672%
2015/12 51.88 0 13.2504%
2016/01 59 0 13.7240%
2016/02 57 0.42 -2.6780%
2016/03 44.63 0 -21.7018%

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