The one-year futures price on a particular stock-index portfolio is 2,880, the stock index currently is 2,800, the one-year risk-free interest rate is 4.0%, and the year-end dividend that will be paid on a $2,800 investment in the index portfolio is $27. By how much is the contract mispriced? (Input the amount as positive value.) The futures price is $ (Click to select) its "proper" or parity value.

The one-year futures price on a particular stock-index portfolio is 2,880, the stock index currently is 2,800, the one-year risk-free interest rate is 4.0%, and the year-end dividend that will be paid on a $2,800 investment in the index portfolio is $27. By how much is the contract mispriced? (Input the amount as positive value.) The futures price is $ (Click to select) its "proper" or parity value.

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

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Suppose the 1-year futures price on a stock-index portfolio is 1,914, the stock index currently is 1,900, the 1-year risk-free interest rate is 3%, and the year-end dividend that will be paid on a $1,900 investment in the market index portfolio is $40.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.c. Now assume (as is true for small investors) that if you short sell the stocks in the market index, the proceeds of the short sale are kept with the broker, and you do not receive any interest income on the funds. Is there still an arbitrage opportunity (assuming that you don’t already own the shares in the index)? Explain.d. Given the short-sale rules, what is the no-arbitrage band for the stock-futures price relation-ship? That is, given a stock index of 1,900, how high and how low can the futures price be without giving rise to arbitrage opportunities?
a. A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? b. What should the futures price be if the maturity of the contract is 2 years? c. What if the interest rate is 9% and the maturity of the contract is 2 years? Complete this question by entering your answers in the tabs below. Required A Required B Required C A futures contract on a non-dividend-paying stock index with current value $130 has a maturity of one year. If the T-bill rate is 6%, what should the futures price be? Note: Round your answer to 2 decimal places. Futures price
Suppose a stock is currently (time t = 0) worth 100. Further, suppose the one year annually compounded interest rate is 2%, and the two year annually compounded rate is 3%. Find the following:a) The forward price for a forward contract on the stock with maturity year T1 = 1. b) The forward price for a forward contract on the stock with maturity year T2 = 2.c) The forward price for a forward contract with maturity T1 = 1 on a ZCB with maturity T2 = 2.d) The forward price for a forward contract with maturity T1 = 1 on a forward contract on the stock with maturity T2 = 2 and delivery price K = 101.
The one-year futures price on a particular stock - index portfolio is 1,124.91, the stock index currently is 1, 116, the one-year risk-free interest rate is 2.61%, and the year-end dividend that will be paid on a $1,116 investment in the index portfolio is $13.73. By how much is the contract mispriced? future price - parity price
a. A single-stock futures contract on a non-dividend-paying stock with current price $260 has a maturity of 1 year. If the T-bill rate is 5%, what should the futures price be? (Round your answer to 2 decimal places.) Futures price b. What should the futures price be if the maturity of the contract is 4 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Futures price c. What should the futures price be if the interest rate is 8% and the maturity of the contract is 4 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Futures price
Suppose XYZ stock pays no dividends and has a current price of $50. The forward price for delivery in 1 year is $55. Suppose the 1-year eective annual interest rate is 10%. (a) Graph the payo and prot diagrams for a forward contract on XYZ stock with a forward price of $55. (b) Is there any advantage to investing in the stock or the forward contract? Why? (c) Suppose XYZ paid a dividend of $2 per year and everything else stayed the same. Now is there any advantage to investing in the stock or the forward contract? Why?
An index level of 1,000, what is the value of each contract? If a long stock index futures position on S& P 500 index futures at 1, 051 and has an index of 1, 058 at the settlement date, how much would be the trader’s gain? Complete Solution.
If the initial speculative margin of a futures contract is $2,000, the maintenance margin is $1,800 and your trading account balance has increased to $2,300, how much must you deposit to comply with your margin requirement?
a. A single-stock futures contract on a non-dividend-paying stock with current price $150 has a maturity of 1 year. If the T-bill rate is 3%, what should the futures price be?b. What should the futures price be if the maturity of the contract is 3 years?c. What if the interest rate is 6% and the maturity of the contract is 3 years?
The margin requirement on the S&P 500 futures contract is 16%, and the stock index is currently 2,100. Each contract has a multiplier of $50 a. How much margin must be put up for each contract sold? Margin b. If the futures price falls by 1% to 2,079, what will happen to the margin account of an investor who holds one contract? (Input the amount as a positive value.) Margin account by c-1. What will be the investor's percentage return based on the amount put up as margin? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Percentage return ed ok at rices c-2. What would be the current cash balance in the margin account? Cash balance
Suppose that, on 5 November 2020, you opened a short position in a two-year futures contract on the Tesla stock. The share price at the beginning of the contract was $146, and the initial futures price was equal to a theoretical two-year forward price. Assume the following: initial margin of 40% of the futures value, maintenance margin of 32% of the futures value, 3% flat interest rate, continuous compounding, no withdrawals of the excess margin. Next, suppose that, on 1 November 2022, the Tesla stock is priced at $228 per share, and it goes down by 1% daily over 2nd, 3rd and 4th November. Suppose further that, on 1 November 2022, you have received a margin call from your broker (this was your first margin call during this contract) and had to make an instant adjustment to your margin account. Your position in this contract is closed on 4 November 2022. How can you assess your overall profit or loss? Would your overall profit/loss from 1) change if, on 5 November 2020, you had…
Suppose that, on 5 November 2020, you opened a short position in a two-year futures contract on the Tesla stock. The share price at the beginning of the contract was $146, and the initial futures price was equal to a theoretical two-year forward price. Assume the following: initial margin of 40% of the futures value, maintenance margin of 32% of the futures value, 3% flat interest rate, continuous compounding, no withdrawals of the excess margin. Next, suppose that, on 1 November 2022, the Tesla stock is priced at $228 per share, and it goes down by 1% daily over 2nd, 3rd and 4th November. Suppose further that, on 1 November 2022, you have received a margin call from your broker (this was your first margin call during this contract) and had to make an instant adjustment to your margin account. Calculate the value of your position in this contract at a close of each day between 1-4 November 2022. Show and explain each step of your derivations.

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