Question #59
Reading: Reading 31 Valuation of Contingent Claims
PDF File: Reading 31 Valuation of Contingent Claims.pdf
Page: 27
Status: Unattempted
Part of Context Group: Q59-60
First in Group
Shared Context
Question
Which of the following would create a synthetic call?
Answer Choices:
A. Buy the put and the underlying
B. Sell the put, buy the underlying
C. Sell the put and the underlying
Explanation
When dealing with questions based on synthetics the solution can be arrived at by using
put call parity.
Recall put + share = call + present value of bond PV(X)
The European put-call parity states that the payoffs of a fiduciary call (long zero coupon
bond and long call) are equivalent to the payoffs of a protective put (long underlying and
long put).
So a synthetic call = put + stock – PV(X)
We can then ignore the value of the pure discount bond PV(X) because its value is
unaffected by the stock's price, leaving us with put + stock.