Suppose that the risk-free interest rate is 12% per annum with continuous compounding and a stock that pays 1 dollar dividend in 3, 6 and 9 months time. The current stock price is $40, and the futures price for a contract deliverable in 11 months is $45.

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
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Suppose that the risk-free interest rate is 12%
per annum with continuous compounding and
a stock that pays 1 dollar dividend in 3, 6 and
9 months time. The current stock price is $40,
and the futures price for a contract deliverable
in 11 months is $45.
a) What is the theoretical future prices?
B) what arbitrage opportunities does this
create (shoe arbitrage strategies with cash
flows)
C) Why does the position of a short hedger
become more advantageous when the basis
strengthens unexpectedly, but less
advantageous when the basis weakens
unexpectedly?
Transcribed Image Text:Suppose that the risk-free interest rate is 12% per annum with continuous compounding and a stock that pays 1 dollar dividend in 3, 6 and 9 months time. The current stock price is $40, and the futures price for a contract deliverable in 11 months is $45. a) What is the theoretical future prices? B) what arbitrage opportunities does this create (shoe arbitrage strategies with cash flows) C) Why does the position of a short hedger become more advantageous when the basis strengthens unexpectedly, but less advantageous when the basis weakens unexpectedly?
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