Question

In: Finance

You buy a share of BP stock for 150, and a six-month call option at 160...

  1. You buy a share of BP stock for 150, and a six-month call option at 160 for 9.83. You sell a six month put option at 150 for 11.12.   You hold your portfolio until the expiration date. On the expiration date you cash out your portfolio. Graph the profits of your strategy as the price of BP stock at the expiration date goes from 125 to 200. Profits equal the amount you receive at the expiration date for cashing out your portfolio minus the amount you paid for the portfolio.

(Please include a table with at least 50 data points for the graph.)

Solutions

Expert Solution

Payoff on Stock Purchased at 150:
Assume ,Price at expiration =S
Payoff =(S-150)
Payoff on Buying (Long ) CALL Option
Strike Price=160
Price at expiration =S
If S< or= 160, Payoff=0
If S>160, Payoff=(S-160)
Payoff on SELLING (Short) PUT Option
Strike Price=150
Price at expiration =S
If S> or= 150, Payoff=0
If S<150, Payoff=(S-150)
Premium Paid for CALL Option -9.83
Premium Received for PUT Option 11.12
Net Premium Received 1.29
Pay off
S A B C D=A+B+C+1.29
Price at Expiration Long Call Short Put Stock Net Profit
125 0 -25 -25 -48.71
126 0 -24 -24 -46.71
127 0 -23 -23 -44.71
128 0 -22 -22 -42.71
129 0 -21 -21 -40.71
130 0 -20 -20 -38.71
131 0 -19 -19 -36.71
132 0 -18 -18 -34.71
133 0 -17 -17 -32.71
134 0 -16 -16 -30.71
135 0 -15 -15 -28.71
136 0 -14 -14 -26.71
137 0 -13 -13 -24.71
138 0 -12 -12 -22.71
139 0 -11 -11 -20.71
140 0 -10 -10 -18.71
141 0 -9 -9 -16.71
142 0 -8 -8 -14.71
143 0 -7 -7 -12.71
144 0 -6 -6 -10.71
145 0 -5 -5 -8.71
146 0 -4 -4 -6.71
147 0 -3 -3 -4.71
148 0 -2 -2 -2.71
149 0 -1 -1 -0.71
150 0 0 0 1.29
151 0 0 1 2.29
152 0 0 2 3.29
153 0 0 3 4.29
154 0 0 4 5.29
155 0 0 5 6.29
156 0 0 6 7.29
157 0 0 7 8.29
158 0 0 8 9.29
159 0 0 9 10.29
160 0 0 10 11.29
162 2 0 12 15.29
164 4 0 14 19.29
166 6 0 16 23.29
168 8 0 18 27.29
170 10 0 20 31.29
172 12 0 22 35.29
174 14 0 24 39.29
176 16 0 26 43.29
178 18 0 28 47.29
180 20 0 30 51.29
184 24 0 34 59.29
192 32 0 42 75.29
196 36 0 46 83.29
200 40 0 50 91.29

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