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Assume that interest rate is 10% (=0.10), time to expiration is 180 days, and the current price of the July gasoline contract is USD 3.15/gal.

Assume that interest rate is 10% (=0.10), time to expiration is 180 days, and the current price of the July gasoline contract is USD 3.15/gal. Compute the values of a 3.00 call and a 3.00 put using Blacks option pricing model. Use the historical gasoline futures prices below to obtain the needed volatility estimate! You can solve this by hand or with a spreadsheet program such as Excel. If you chose to use a spreadsheet program, you need to turn in a printout of your work. Furthermore, indicate at each step what you did. Also, please write down the formula for each cell next to it so that it is clear what you calculated at each stage of the computation.

observation

futures closing price

ln(Rt)

(ln(Rt)-m)^2

1

3.070

2

3.044

3

3.071

4

3.011

5

3.099

6

3.067

7

3.048

8

3.022

9

3.021

10

3.032

11

3.020

12

3.021

13

3.020

14

3.059

15

3.050

16

3.064

17

3.005

18

3.000

19

3.040

20

3.011

21

3.069

22

3.039

23

3.068

24

3.011

25

3.098

26

3.033

27

3.091

28

3.055

29

3.088

30

3.055

31

3.003

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