Concept explainers
A
To explain: Calculate the total cash flow in strategy at different time intervals and as per the given information.
Introduction: An arbitrage strategy is given, first future contract price
A
Answer to Problem 19PS
Thus the final cash after
Explanation of Solution
Given information: Future contract price
There are two future prices with definite time period, initially the cash was zero, after one year it will be
B
To explain: If arbitrage opportunity is none then why profit will be zero at time
Introduction: An arbitrage strategy is given, first future contract price
B
Answer to Problem 19PS
Thus investment at this period is zero and also it is risk free. Hence the total profit also is null when there is no arbitrage opportunity.
Explanation of Solution
Given information: Future contract price
In the absence of the arbitrage opportunity the profit will be zero because investment in time
C
To explain: Establish the relation between
Introduction: An arbitrage strategy is given, first future contract price
C
Answer to Problem 19PS
Hence relation between
Explanation of Solution
Given information: Future contract price
At last stage for profit should be zero at time
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Chapter 22 Solutions
INVESTMENTS-CONNECT PLUS ACCESS
- Consider a stock that pays no dividends on which a futures contract, a call option, and a put option trade. The maturity date for all three contracts is T, the exercise price of both the put and the call is X, and the futures price is F. Show that if X = F, then the call price equals the put price. Use parity conditions to guide your demonstration.arrow_forwardAt time t = 0, a trader takes a long position in a futures contract on stock i that willexpire at time T. the present value of this contract to the long is given by: See Image.Assume no-arbitrage pricing. Show analytically that if the return from stock i is positively correlated with the overall return on the stock market, then the futures market must be in backwardation at time t = 0.arrow_forwardThe premium on a put option is primarily a function of the difference in spot price S relative to the strike price X, the time until maturity T, and the volatility of the currency o. P = f(S-X, T, o) For each characteristic of a put option, use the table to indicate whether that would lead to a higher put option premium or a lower put option premium (all else equal). Characteristic A lower spot price relative to the strike price A shorter time before expiration A higher level of volatility for the currency Higher Put Option Premium Lower Put Option Premium When using a put option to hedge receivables in an international currency, a U.S. based MNC can lock in the receive. minimum maximum amount of dollars it willarrow_forward
- At time t = 0, a trader takes a long position in a futures contract on stock i that willexpire at time T. the present value of this contract to the long is given by: See Image. Assume no-arbitrage price, briefly descthat if the return from stock i is positively correlated with the overall return on the stock market, then the futures market must be in backwardation at time t = 0.arrow_forwardThe premium on a call option is primarily a function of the difference in spot price S relative to the strike price X, the length of time until expiration T, and the volatility of the currency o. C = f(S-X, T, o) For each characteristic of a call option, use the table to indicate whether that would lead to a higher call option premium or a low call option premium (all else equal). Characteristic A lower spot price relative to the strike price A shorter time before expiration A higher level of volatility for the currency Higher Call Option Premium O Lower Call Option Premium When using a call option to hedge payables in an international currency, a U.S. based MNC can lock in the to obtain the needed foreign currency. maximum minimum amount of dollars neededarrow_forwardConsider a stock that pays no dividends on which a futurescontract, a call option, and a put option trade. The maturity date for all three contracts is T, the strikeprice of both the put and the call is K, and the futures price is F. Prove that if K = F, then the price ofthe call option equals the price of the put option.arrow_forward
- Consider two binomial trees, one for the spot price of an asset and the other for the futures price on the same asset. Let the up factor, u, and the down factor, d, be the same for both trees. The difference in the risk-neutral probabilities for the up movement on spot tree and on the futures tree is: Oa (1-d)/e Ob. (u-1)/et Oc ert /u Od (e".1)/ (u-d) Oo (u-et)/ (u-d)arrow_forwardIf a borrower with a fixed rate entered into a swap (to change his rate to floating) in an environment with an upward sloping curve, it would likely have __________ interest payments in the initial periods of the swap. -higher -lower -the samearrow_forwardSuppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?arrow_forward
- Assume an interest rate of zero. A Call option and a Put option with the same exercise price, X = 100p are priced at 9p for the Call and 4p for the Put. By completing the table below (attached) show that the net position at expiry is zero.arrow_forwardThis question is about futures risk premia. Consider a two period economy.You can buy stocksin period 0, and then sell them in period 1. You can also enter into futures contracts in period 0, whichexpire in period 1. Since buying single-stock futures appears to be a fairly profitable trade, you decide toinvest in a futures strategy. You enter a long futures contract position. You also invest cash in period 0 at the risk-free rate, so you have just enough topay for the futures contract at expiration. You plan to sell the stock just after expiration. What is theexpected return on this trading strategy (in terms of expected period-1 dollars you get, per period-0dollar invested)?arrow_forwardThis is part a) question and it's answer in order to answer part b) question Question: You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? answer : According to the question we need to calculate the current price of the perpetual consol. Perpetual consoles are priced differently because their expected income is spread through an indefinite period. So, perpetual consoles are priced using the current yield. The current yield is calculated as:- coupon amountMarket price×100coupon amountMarket price×100 After calculating the current yield price is calculated by the above formula where, i = Current interest rate y = yield so, the price of this consol will be Price = i/y I please need the solutions for part b) question b) In the next period however, the interest rate changes unexpectedly to i . What is the new price of the bond? If…arrow_forward