a. By how much is the contract mispriced? b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing. Assume a zero bid-ask spread in security and futures transactions. c. Now assume that if you short sell the stocks in the index portfolio, the proceeds are kept with the broker, and you do not receive any interest income of the funds. Is there still an arbitrage opportunity (assuming that you don't already own the shares in the index)? ai
a. By how much is the contract mispriced? b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in riskless profits equal to the futures mispricing. Assume a zero bid-ask spread in security and futures transactions. c. Now assume that if you short sell the stocks in the index portfolio, the proceeds are kept with the broker, and you do not receive any interest income of the funds. Is there still an arbitrage opportunity (assuming that you don't already own the shares in the index)? ai
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
Problem 1PS
Related questions
Question
![5. Suppose the one-year futures price on a stock-index portfolio is 1218, the stock index
currently is 1200, the one-year risk-free interest rate is 3%, and the ybar-end dividend that
will be paid on a $1,200 investment in the index portfolio is $15.
a. By how much is the contract mispriced?
b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in
riskless profits equal to the futures mispricing. Assume a zero bid-ask spread in security
and futures transactions.
Now assume that if you short sell the stocks in the index portfolio, the proceeds are
kept with the broker, and you do not receive any interest income of the funds. Is there
still an arbitrage opportunity (assuming that you don't already own the shares in the
index)?
d. Given the short sale rules, what is the no-arbitrage band for the stock-futures price
relationship? Specifically, how high and how low can the futures price be without
giving rise to arbitrage opportunities.
C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdcffd01-d297-47f9-91f3-40ff92694b26%2Fd696009b-00ce-4c36-bf74-541f8ea14fa3%2Fpxgmlxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Suppose the one-year futures price on a stock-index portfolio is 1218, the stock index
currently is 1200, the one-year risk-free interest rate is 3%, and the ybar-end dividend that
will be paid on a $1,200 investment in the index portfolio is $15.
a. By how much is the contract mispriced?
b. Formulate a zero-net-investment arbitrage portfolio and show that you can lock in
riskless profits equal to the futures mispricing. Assume a zero bid-ask spread in security
and futures transactions.
Now assume that if you short sell the stocks in the index portfolio, the proceeds are
kept with the broker, and you do not receive any interest income of the funds. Is there
still an arbitrage opportunity (assuming that you don't already own the shares in the
index)?
d. Given the short sale rules, what is the no-arbitrage band for the stock-futures price
relationship? Specifically, how high and how low can the futures price be without
giving rise to arbitrage opportunities.
C.
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