Question

Please show your work. Thank you. Question(s): Please answer first question first. 1. Calculate Beta 2....

Please show your work. Thank you.

Question(s): Please answer first question first.

1. Calculate Beta

2. Run a regression analysis using one set of returns as dependent or outcome (Y) and the other as independent or (X).

Option Time of last trade Exp Date PrevClose Open Bid Ask Strike Vol Open Int IV
1 7-Jan-19 ITM_P AAPL190118P00160000 2019-01-07 3:57PM EST 1/18/19          12.33   11.85   12.10   12.65   160.00        848        35,209 37.96%
2 8-Jan-19 ITM_P AAPL190118P00160000 2019-01-07 3:57PM EST 1/18/19          12.33   10.90      9.50      9.75   160.00    1,020        33,110 31.30%
3 8-Jan-19 ITM_P AAPL190118P00160000 2019-01-09 2:16PM EST 1/18/19             9.75      9.00      9.70      6.85   160.00        517                  33 19.73%
4 9-Jan-19 ITM_P AAPL190118P00160000 2019-01-07 3:57PM EST 1/18/19             9.75   10.90            -              -     160.00    1,020        32,630 35.47%
5 9-Jan-19 ITM_P AAPL190118P00160000 2019-01-09 3:39PM EST 1/18/19 9.75 9.1 8.2 8.35   160.00        139        32,630 24.71%
6 9-Jan-19 ITM_P AAPL190118P00160000 2019-01-09 3:39PM EST 1/18/19 9.75 9 7.65 7.8   160.00        219        32,630 31.13%
7 9-Jan-19 ITM_P AAPL190118P00160000 2019-01-09 3:59PM EST 1/18/19 9.75 9 7.2 7.4   160.00        879                  33 28.15%
8 10-Jan-19 ITM_P AAPL190118P00160000 2019-01-10 1:47PM EST 1/18/19 7.25 8.25 7.05 7.2   160.00    1,287        32,450 32.98%
9 10-Jan-19 ITM_P AAPL190118P00160000 2019-01-10 3:57PM EST 1/18/19 7.25 8.25 6.65 6.85   160.00    1,373        32,450 27.32%
10 11-Jan-19 ITM_P AAPL190118P00160000 2019-01-10 3:57PM EST 1/18/19 6.85 8.25 0 0   160.00    1,373        32,270 0.00%
Time of last trade Exp Date ^GSPC_PrevClose ^GSPC_Open Bid Ask Strike Day Range Vol Open Int IV
1 7-Jan-19 ITM_P SPX190118P02575000 1/18/19                            43.10           38.50           32.70           33.00           2,575 29.60 - 45.50        27,133        22,930 19.24%
2 8-Jan-19 ITM_P SPX190118P02575000 1/18/19                            43.10           36.50           31.90           33.00           2,575 29.60 - 45.50        27,133        22,930 19.24%
3 8-Jan-19 ITM_P SPX190118P02575000 1/18/19                            31.50           26.35           24.40           25.00           2,575 20.98 29.40           8,040        41,950 18.50%
4 9-Jan-19 ITM_P SPX190118P02575000 2019-01-08 4:14PM EST 1/18/19                            31.50           36.50           26.80           28.50           2,575 29.60 - 45.50        27,133        41,950 16.59%
5 9-Jan-19 ITM_P SPX190118P02575000 2019-01-09 11:26AM EST 1/18/19                            31.50           26.35           23.80           25.00           2,575 23.7 - 29.4           3,394        41,950 16.85%
6 9-Jan-19 ITM_P SPX190118P02575000 2019-01-09 1:59PM EST 1/18/19                            31.50           26.35           21.30           21.80           2,575 20.98-29.40           8,812           4,195 15.63%
7 9-Jan-19 ITM_P SPX190118P02575000 2019-01-09 4:12PM EST 1/18/19                            31.50           26.35           24.30           25.30           2,575 20.98 - 29.40        10,445        41,950 17.62%
8 10-Jan-19 ITM_P SPX190118P02575000 2019-01-10 1:45PM EST 1/18/19                            23.30           21.20           21.70           31.50           2,575 19.5-32.2        28,722        46,310 18.80%
9 10-Jan-19 ITM_P SPX190118P02575000 2019-01-10 4:19PM EST 1/18/19                            23.50           30.30           16.90           17.50           2,575 15.65-32.20        29,756        46,310 16.64%
10 11-Jan-19 ITM_P SPX190118P02575000 2019-01-11 6:28AM EST 1/18/19                            16.50           16.80           18.90           20.40           2,575 16.80-18.40                     2        37,230 20.18%
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Answer #1
S.No option close option open change in option price market close market open change in market price percent change in option price percent change in market price
1 12.33 11.85 -0.03892944 43.1 38.5 -0.106728538 -3.892944039 -10.67285383
2 12.33 10.9 -0.115977291 43.1 36.5 -0.153132251 -11.59772912 -15.31322506
3 9.75 9 -0.076923077 31.5 26.35 -0.163492063 -7.692307692 -16.34920635
4 9.75 10.9 0.117948718 31.5 36.5 0.158730159 11.79487179 15.87301587
5 9.75 9.1 -0.066666667 31.5 26.35 -0.163492063 -6.666666667 -16.34920635
6 9.75 9 -0.076923077 31.5 26.35 -0.163492063 -7.692307692 -16.34920635
7 9.75 9 -0.076923077 31.5 26.35 -0.163492063 -7.692307692 -16.34920635
8 7.25 8.25 0.137931034 23.3 21.2 -0.090128755 13.79310345 -9.012875536
9 7.25 8.25 0.137931034 23.5 30.3 0.289361702 13.79310345 28.93617021
10 6.85 8.25 0.204379562 16.5 16.8 0.018181818 20.4379562 1.818181818

25 у-05573x 4.4549 R2 0.555 20 15 10-1 201505 10 15 20 25 30 35 -10 15

Beta from regression is 0.5553

BETA FORMULA = SLOPE (percent change in option price; percent change in market price)

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