Table 2 (continued): European Call Option Delta: $ Change in
Option for a $ Change in Stock Price.
Part Three: Ratio of Current Stock Price to Present
Value of the Exercise Price is between 1.24 and 1.50.
| sigma x sqrt(T) | 1.24 | 1.25 | 1.26 | 1.27 | 1.28 | 1.29 | 1.3 | 1.31 | 1.32 | 1.33 | 1.34 | 1.35 | 1.36 | 1.37 | 1.38 | 1.39 | 1.4 | 1.41 | 1.42 | 1.43 | 1.44 | 1.45 | 1.46 | 1.47 | 1.48 | 1.49 | 1.5 |
| 0.01 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.02 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.03 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.04 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.05 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.06 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.07 | 0.999 | 0.999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.08 | 0.997 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.09 | 0.993 | 0.994 | 0.996 | 0.997 | 0.997 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.1 | 0.986 | 0.989 | 0.991 | 0.993 | 0.994 | 0.995 | 0.996 | 0.997 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 0.999 | 0.999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.11 | 0.978 | 0.981 | 0.984 | 0.987 | 0.989 | 0.991 | 0.993 | 0.994 | 0.995 | 0.996 | 0.997 | 0.997 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 0.999 | 0.999 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 0.12 | 0.968 | 0.973 | 0.976 | 0.98 | 0.983 | 0.985 | 0.988 | 0.99 | 0.991 | 0.993 | 0.994 | 0.995 | 0.996 | 0.996 | 0.997 | 0.997 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 0.999 | 0.999 | 0.999 | 1 | 1 | 1 |
| 0.13 | 0.957 | 0.963 | 0.967 | 0.972 | 0.975 | 0.979 | 0.981 | 0.984 | 0.986 | 0.988 | 0.99 | 0.991 | 0.992 | 0.994 | 0.994 | 0.995 | 0.996 | 0.997 | 0.997 | 0.998 | 0.998 | 0.998 | 0.999 | 0.999 | 0.999 | 0.999 | 0.999 |
| 0.14 | 0.946 | 0.952 | 0.957 | 0.962 | 0.967 | 0.971 | 0.974 | 0.977 | 0.98 | 0.982 | 0.985 | 0.987 | 0.988 | 0.99 | 0.991 | 0.992 | 0.993 | 0.994 | 0.995 | 0.996 | 0.996 | 0.997 | 0.997 | 0.998 | 0.998 | 0.998 | 0.998 |
| 0.15 | 0.934 | 0.941 | 0.947 | 0.952 | 0.957 | 0.962 | 0.966 | 0.97 | 0.973 | 0.976 | 0.979 | 0.981 | 0.983 | 0.985 | 0.987 | 0.988 | 0.99 | 0.991 | 0.992 | 0.993 | 0.994 | 0.995 | 0.995 | 0.996 | 0.996 | 0.997 | 0.997 |
| 0.16 | 0.923 | 0.93 | 0.936 | 0.942 | 0.948 | 0.953 | 0.957 | 0.961 | 0.965 | 0.969 | 0.972 | 0.975 | 0.977 | 0.98 | 0.982 | 0.984 | 0.985 | 0.987 | 0.988 | 0.99 | 0.991 | 0.992 | 0.993 | 0.994 | 0.994 | 0.995 | 0.996 |
| 0.17 | 0.912 | 0.919 | 0.926 | 0.932 | 0.938 | 0.943 | 0.948 | 0.953 | 0.957 | 0.961 | 0.965 | 0.968 | 0.971 | 0.974 | 0.976 | 0.978 | 0.981 | 0.982 | 0.984 | 0.986 | 0.987 | 0.988 | 0.99 | 0.991 | 0.992 | 0.992 | 0.993 |
| 0.18 | 0.901 | 0.908 | 0.915 | 0.922 | 0.928 | 0.934 | 0.939 | 0.944 | 0.949 | 0.953 | 0.957 | 0.961 | 0.964 | 0.967 | 0.97 | 0.973 | 0.975 | 0.977 | 0.979 | 0.981 | 0.983 | 0.984 | 0.986 | 0.987 | 0.988 | 0.989 | 0.99 |
| 0.19 | 0.89 | 0.898 | 0.905 | 0.912 | 0.918 | 0.924 | 0.93 | 0.935 | 0.94 | 0.945 | 0.949 | 0.953 | 0.957 | 0.96 | 0.963 | 0.966 | 0.969 | 0.972 | 0.974 | 0.976 | 0.978 | 0.98 | 0.982 | 0.983 | 0.985 | 0.986 | 0.987 |
| 0.2 | 0.88 | 0.888 | 0.895 | 0.902 | 0.909 | 0.915 | 0.921 | 0.926 | 0.932 | 0.936 | 0.941 | 0.945 | 0.949 | 0.953 | 0.956 | 0.96 | 0.963 | 0.965 | 0.968 | 0.971 | 0.973 | 0.975 | 0.977 | 0.979 | 0.98 | 0.982 | 0.983 |
| 0.21 | 0.871 | 0.879 | 0.886 | 0.893 | 0.9 | 0.906 | 0.912 | 0.918 | 0.923 | 0.928 | 0.933 | 0.937 | 0.942 | 0.946 | 0.949 | 0.953 | 0.956 | 0.959 | 0.962 | 0.965 | 0.967 | 0.97 | 0.972 | 0.974 | 0.976 | 0.977 | 0.979 |
| 0.22 | 0.862 | 0.87 | 0.877 | 0.884 | 0.891 | 0.898 | 0.904 | 0.909 | 0.915 | 0.92 | 0.925 | 0.93 | 0.934 | 0.938 | 0.942 | 0.946 | 0.949 | 0.953 | 0.956 | 0.959 | 0.961 | 0.964 | 0.966 | 0.969 | 0.971 | 0.973 | 0.975 |
| 0.23 | 0.853 | 0.861 | 0.869 | 0.876 | 0.883 | 0.889 | 0.895 | 0.901 | 0.907 | 0.912 | 0.917 | 0.922 | 0.927 | 0.931 | 0.935 | 0.939 | 0.943 | 0.946 | 0.949 | 0.953 | 0.955 | 0.958 | 0.961 | 0.963 | 0.966 | 0.968 | 0.97 |
| 0.24 | 0.845 | 0.853 | 0.861 | 0.868 | 0.875 | 0.881 | 0.887 | 0.893 | 0.899 | 0.905 | 0.91 | 0.915 | 0.919 | 0.924 | 0.928 | 0.932 | 0.936 | 0.94 | 0.943 | 0.946 | 0.949 | 0.952 | 0.955 | 0.958 | 0.96 | 0.963 | 0.965 |
| 0.25 | 0.838 | 0.846 | 0.853 | 0.86 | 0.867 | 0.874 | 0.88 | 0.886 | 0.892 | 0.897 | 0.902 | 0.907 | 0.912 | 0.917 | 0.921 | 0.925 | 0.929 | 0.933 | 0.937 | 0.94 | 0.943 | 0.946 | 0.949 | 0.952 | 0.955 | 0.957 | 0.96 |
| 0.26 | 0.831 | 0.838 | 0.846 | 0.853 | 0.86 | 0.866 | 0.873 | 0.879 | 0.885 | 0.89 | 0.895 | 0.9 | 0.905 | 0.91 | 0.914 | 0.919 | 0.923 | 0.927 | 0.93 | 0.934 | 0.937 | 0.941 | 0.944 | 0.946 | 0.949 | 0.952 | 0.954 |
| 0.27 | 0.824 | 0.832 | 0.839 | 0.846 | 0.853 | 0.86 | 0.866 | 0.872 | 0.878 | 0.883 | 0.889 | 0.894 | 0.899 | 0.903 | 0.908 | 0.912 | 0.916 | 0.92 | 0.924 | 0.928 | 0.931 | 0.935 | 0.938 | 0.941 | 0.944 | 0.947 | 0.949 |
| 0.28 | 0.818 | 0.826 | 0.833 | 0.84 | 0.847 | 0.853 | 0.859 | 0.865 | 0.871 | 0.877 | 0.882 | 0.887 | 0.892 | 0.897 | 0.902 | 0.906 | 0.91 | 0.914 | 0.918 | 0.922 | 0.925 | 0.929 | 0.932 | 0.935 | 0.938 | 0.941 | 0.944 |
| 0.29 | 0.812 | 0.82 | 0.827 | 0.834 | 0.84 | 0.847 | 0.853 | 0.859 | 0.865 | 0.87 | 0.876 | 0.881 | 0.886 | 0.891 | 0.895 | 0.9 | 0.904 | 0.908 | 0.912 | 0.916 | 0.92 | 0.923 | 0.926 | 0.93 | 0.933 | 0.936 | 0.939 |
| 0.3 | 0.807 | 0.814 | 0.821 | 0.828 | 0.835 | 0.841 | 0.847 | 0.853 | 0.859 | 0.864 | 0.87 | 0.875 | 0.88 | 0.885 | 0.889 | 0.894 | 0.898 | 0.902 | 0.906 | 0.91 | 0.914 | 0.918 | 0.921 | 0.924 | 0.927 | 0.93 | 0.933 |
| 0.31 | 0.802 | 0.809 | 0.816 | 0.823 | 0.829 | 0.836 | 0.842 | 0.848 | 0.853 | 0.859 | 0.864 | 0.869 | 0.874 | 0.879 | 0.884 | 0.888 | 0.893 | 0.897 | 0.901 | 0.905 | 0.908 | 0.912 | 0.916 | 0.919 | 0.922 | 0.925 | 0.928 |
| 0.32 | 0.797 | 0.804 | 0.811 | 0.818 | 0.824 | 0.83 | 0.836 | 0.842 | 0.848 | 0.853 | 0.859 | 0.864 | 0.869 | 0.874 | 0.878 | 0.883 | 0.887 | 0.891 | 0.895 | 0.899 | 0.903 | 0.907 | 0.91 | 0.914 | 0.917 | 0.92 | 0.923 |
| 0.33 | 0.793 | 0.8 | 0.807 | 0.813 | 0.819 | 0.826 | 0.831 | 0.837 | 0.843 | 0.848 | 0.854 | 0.859 | 0.864 | 0.868 | 0.873 | 0.878 | 0.882 | 0.886 | 0.89 | 0.894 | 0.898 | 0.902 | 0.905 | 0.909 | 0.912 | 0.915 | 0.918 |
| 0.34 | 0.789 | 0.796 | 0.802 | 0.809 | 0.815 | 0.821 | 0.827 | 0.833 | 0.838 | 0.843 | 0.849 | 0.854 | 0.859 | 0.863 | 0.868 | 0.873 | 0.877 | 0.881 | 0.885 | 0.889 | 0.893 | 0.897 | 0.9 | 0.904 | 0.907 | 0.91 | 0.913 |
| 0.35 | 0.785 | 0.792 | 0.798 | 0.805 | 0.811 | 0.817 | 0.822 | 0.828 | 0.834 | 0.839 | 0.844 | 0.849 | 0.854 | 0.859 | 0.863 | 0.868 | 0.872 | 0.876 | 0.88 | 0.884 | 0.888 | 0.892 | 0.895 | 0.899 | 0.902 | 0.906 | 0.909 |
| 0.36 | 0.782 | 0.788 | 0.794 | 0.801 | 0.807 | 0.813 | 0.818 | 0.824 | 0.829 | 0.835 | 0.84 | 0.845 | 0.849 | 0.854 | 0.859 | 0.863 | 0.867 | 0.872 | 0.876 | 0.88 | 0.884 | 0.887 | 0.891 | 0.894 | 0.898 | 0.901 | 0.904 |
| 0.37 | 0.778 | 0.785 | 0.791 | 0.797 | 0.803 | 0.809 | 0.814 | 0.82 | 0.825 | 0.83 | 0.835 | 0.84 | 0.845 | 0.85 | 0.854 | 0.859 | 0.863 | 0.867 | 0.871 | 0.875 | 0.879 | 0.883 | 0.886 | 0.89 | 0.893 | 0.897 | 0.9 |
| 0.38 | 0.775 | 0.781 | 0.788 | 0.794 | 0.799 | 0.805 | 0.811 | 0.816 | 0.821 | 0.827 | 0.832 | 0.836 | 0.841 | 0.846 | 0.85 | 0.855 | 0.859 | 0.863 | 0.867 | 0.871 | 0.875 | 0.879 | 0.882 | 0.886 | 0.889 | 0.892 | 0.896 |
| 0.39 | 0.772 | 0.779 | 0.785 | 0.79 | 0.796 | 0.802 | 0.807 | 0.813 | 0.818 | 0.823 | 0.828 | 0.833 | 0.837 | 0.842 | 0.846 | 0.851 | 0.855 | 0.859 | 0.863 | 0.867 | 0.871 | 0.874 | 0.878 | 0.882 | 0.885 | 0.888 | 0.892 |
| 0.4 | 0.77 | 0.776 | 0.782 | 0.787 | 0.793 | 0.799 | 0.804 | 0.809 | 0.814 | 0.819 | 0.824 | 0.829 | 0.834 | 0.838 | 0.843 | 0.847 | 0.851 | 0.855 | 0.859 | 0.863 | 0.867 | 0.871 | 0.874 | 0.878 | 0.881 | 0.884 | 0.888 |
| 0.41 | 0.767 | 0.773 | 0.779 | 0.785 | 0.79 | 0.796 | 0.801 | 0.806 | 0.811 | 0.816 | 0.821 | 0.826 | 0.83 | 0.835 | 0.839 | 0.843 | 0.847 | 0.852 | 0.855 | 0.859 | 0.863 | 0.867 | 0.87 | 0.874 | 0.877 | 0.881 | 0.884 |
| 0.42 | 0.765 | 0.771 | 0.776 | 0.782 | 0.787 | 0.793 | 0.798 | 0.803 | 0.808 | 0.813 | 0.818 | 0.822 | 0.827 | 0.831 | 0.836 | 0.84 | 0.844 | 0.848 | 0.852 | 0.856 | 0.86 | 0.863 | 0.867 | 0.87 | 0.874 | 0.877 | 0.88 |
| 0.43 | 0.763 | 0.769 | 0.774 | 0.78 | 0.785 | 0.79 | 0.795 | 0.8 | 0.805 | 0.81 | 0.815 | 0.819 | 0.824 | 0.828 | 0.832 | 0.837 | 0.841 | 0.845 | 0.849 | 0.852 | 0.856 | 0.86 | 0.863 | 0.867 | 0.87 | 0.873 | 0.877 |
| 0.44 | 0.761 | 0.766 | 0.772 | 0.777 | 0.783 | 0.788 | 0.793 | 0.798 | 0.803 | 0.807 | 0.812 | 0.816 | 0.821 | 0.825 | 0.829 | 0.834 | 0.838 | 0.842 | 0.845 | 0.849 | 0.853 | 0.856 | 0.86 | 0.863 | 0.867 | 0.87 | 0.873 |
| 0.45 | 0.759 | 0.765 | 0.77 | 0.775 | 0.78 | 0.785 | 0.79 | 0.795 | 0.8 | 0.805 | 0.809 | 0.814 | 0.818 | 0.822 | 0.827 | 0.831 | 0.835 | 0.839 | 0.842 | 0.846 | 0.85 | 0.853 | 0.857 | 0.86 | 0.864 | 0.867 | 0.87 |
| 0.46 | 0.757 | 0.763 | 0.768 | 0.773 | 0.778 | 0.783 | 0.788 | 0.793 | 0.798 | 0.802 | 0.807 | 0.811 | 0.816 | 0.82 | 0.824 | 0.828 | 0.832 | 0.836 | 0.839 | 0.843 | 0.847 | 0.85 | 0.854 | 0.857 | 0.86 | 0.864 | 0.867 |
| 0.47 | 0.756 | 0.761 | 0.766 | 0.771 | 0.776 | 0.781 | 0.786 | 0.791 | 0.796 | 0.8 | 0.804 | 0.809 | 0.813 | 0.817 | 0.821 | 0.825 | 0.829 | 0.833 | 0.837 | 0.84 | 0.844 | 0.847 | 0.851 | 0.854 | 0.857 | 0.861 | 0.864 |
| 0.48 | 0.754 | 0.76 | 0.765 | 0.77 | 0.775 | 0.779 | 0.784 | 0.789 | 0.793 | 0.798 | 0.802 | 0.807 | 0.811 | 0.815 | 0.819 | 0.823 | 0.827 | 0.83 | 0.834 | 0.838 | 0.841 | 0.845 | 0.848 | 0.851 | 0.855 | 0.858 | 0.861 |
| 0.49 | 0.753 | 0.758 | 0.763 | 0.768 | 0.773 | 0.778 | 0.782 | 0.787 | 0.791 | 0.796 | 0.8 | 0.804 | 0.809 | 0.813 | 0.817 | 0.82 | 0.824 | 0.828 | 0.832 | 0.835 | 0.839 | 0.842 | 0.845 | 0.849 | 0.852 | 0.855 | 0.858 |
| 0.5 | 0.752 | 0.757 | 0.762 | 0.767 | 0.771 | 0.776 | 0.781 | 0.785 | 0.79 | 0.794 | 0.798 | 0.802 | 0.806 | 0.81 | 0.814 | 0.818 | 0.822 | 0.826 | 0.829 | 0.833 | 0.836 | 0.84 | 0.843 | 0.846 | 0.849 | 0.853 | 0.856 |