Option Payoffs. Suppose that you wish to make a bet on Alibaba (BABA) as follows. You will (a) buy two March 15 calls struck at K = $65 at $10.62 per call. (b) short two March 15 calls struck at K $70 at $6.95 per call, and = and (c) short two March 15 calls struck at K $80 at $2.31 per call, = (d) buy two March 15 calls struck at K = $85 at $1.17 per call. The current price of BABA is $74.63. For the purpose of this problem, assume the calls are European (in fact, standard single name options are American) and assume you can buy a call on one share (in fact, call options contracts are options on 100 shares.) (a) Find the price of this option strategy on a per share basis. Put differently, how much capital at t = 0 do you need to buy this portfolio if we ignore any margin requirements. Note: when you short the calls, you receive the premium upfront - this is equivalent to a negative price. Be careful to get all of the signs correct! Solution:

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Option Payoffs. Suppose that you wish to make a bet on Alibaba (BABA) as follows. You will
(a) buy two March 15 calls struck at K = $65 at $10.62 per call.
(b) short two March 15 calls struck at K
$70 at $6.95 per call, and
=
and
(c) short two March 15 calls struck at K
$80 at $2.31 per call,
=
(d) buy two March 15 calls struck at K = $85 at $1.17 per call.
The current price of BABA is $74.63. For the purpose of this problem, assume the calls are European (in
fact, standard single name options are American) and assume you can buy a call on one share (in fact, call
options contracts are options on 100 shares.)
(a) Find the price of this option strategy on a per share basis. Put differently, how much capital
at t
=
0 do you need to buy this portfolio if we ignore any margin requirements. Note: when you short
the calls, you receive the premium upfront - this is equivalent to a negative price. Be careful to get all
of the signs correct!
Solution:
Transcribed Image Text:Option Payoffs. Suppose that you wish to make a bet on Alibaba (BABA) as follows. You will (a) buy two March 15 calls struck at K = $65 at $10.62 per call. (b) short two March 15 calls struck at K $70 at $6.95 per call, and = and (c) short two March 15 calls struck at K $80 at $2.31 per call, = (d) buy two March 15 calls struck at K = $85 at $1.17 per call. The current price of BABA is $74.63. For the purpose of this problem, assume the calls are European (in fact, standard single name options are American) and assume you can buy a call on one share (in fact, call options contracts are options on 100 shares.) (a) Find the price of this option strategy on a per share basis. Put differently, how much capital at t = 0 do you need to buy this portfolio if we ignore any margin requirements. Note: when you short the calls, you receive the premium upfront - this is equivalent to a negative price. Be careful to get all of the signs correct! Solution:
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