Question II: Suppose that the exchange rate is $0.92/e. Let rs= 4%, and re= 3%, u = of binomial periods 1.2, d = 0.9, T = 0.75, numbe 3, and K = $1.00 Use Binomial Option pricing to answer the following two %3D questions. (a) What is the price of a 9-month European call? (b) What is the price of a 9-month American call?

Question II: Suppose that the exchange rate is $0.92/e. Let rs= 4%, and re= 3%, u = of binomial periods 1.2, d = 0.9, T = 0.75, numbe 3, and K = $1.00 Use Binomial Option pricing to answer the following two %3D questions. (a) What is the price of a 9-month European call? (b) What is the price of a 9-month American call?

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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What is the rho of a European put option with the following parameters? As a reminder, rho is defined as the first derivative of the option price with respect to the risk free rate. s0 = $40k = $39 r = 10%sigma = 20%T = 0.75 years (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r
A European put option contract with an exercise price of $1.65 per pound and a contract size of £32,000 is currently trading at a premium of $0.18 per pound. Required: a-1. If you buy this contract, what spot exchange rate at maturity will maximize your profit? a-2. If you buy this contract, what is the amount of the maximum possible profit from one contract? b. If you buy this contract, what is your maximum possible loss from one contract? c. If you sell this contract, what is your maximum possible profit on this contract? d-1. If you sell this contract, what is your maximum possible loss from one contract? d-2. At what future spot exchange rate will you maximize your loss? e. At what future spot exchange rate, will either the buyer or seller of this contract break even?
7
Q2) Suppose the current one-year euro swap rate y0[0, 1] is 1.74%, and the two-yearand three-year swap rates are 2.24% and 2.55% respectively. Euro swap rates are quotedwith annual payments and 30/360 daycount (thus α = 1). A hedge fund(HF) executes the following two trades with a dealer:1(1) The HF pays fixed and receives floating on e100 million notional of a one-year swap atthe forward swap rate.(2) The HF receives fixed and pays floating on e100 million notional of a three-year swapat the forward swap rate.Assume bid-offer costs are negligible.a) After one year, what net cashflow has the dealer paid to (or received from) the HF?b) Suppose after one year, one-year and two-year euro swap rates are unchanged. What isthe current value of the remaining part of the HF trade?c) Suppose after one year, the one-year euro swap rate is unchanged but the two-year euroswap rate is now Y%. What value of Y gives a total zero profit on the trade (at T = 1)?d) Do you like the trades the HF…
Find the hedge ratio a 1-period at-the-money put option on ¥300,000. The spot exchange rate is ¥100 = $1.00. In the next period, the yen can increase in dollar value by 15 percent or decrease by 10 percent. The risk-free rate in dollars is i$ = 5%; The risk-free rate in yen is i¥ = 1%. A.-0.44 B.-0.66 C.-0.60 D.-0.40
Assume a call option on euros is written with a strike price of $1.120/€ at a premium of 4.60¢ per euro ($0.0460/€) and with an expiration date three months from now. The option is for €500,000. Calculate your profit or loss should you exercise before maturity at a time when the euro is traded spot at the following: a) $1.10/€ b) $1.15/€ c) $1.40/€
Assume the spot Swiss franc is $0.7070 and the six-month forward rate is $0.7090. What is the Value of a six-month call and a put option with a strike price of $0.6870 should sell for in a rational market? Assume the annualized six-month Eurodollar rate is 3.50 percent. Assume the annualized volatility of the Swiss franc is 14.20 percent. Use the European option-pricing models to value the call and put option. This problem can be solved using the FXOPM.xls spreadsheet. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Option Call Put Value cents cents
The current spot exchange rate is $1.25/€ and the three-month forward rate is \$ 1.3 / epsilon . Consider a three-month European put option on €125,000 with a strike price of $ 1.2 / epsilon . If you pay an option premium of $5,000 to buy this put option, at what exchange rate will you break-even? Group of answer choices \$ 1.24 / epsilon $ 1.16/€ $1.20/€ $1.34/€
Give Answer with calculation and also provide correct and incorrect option explanation
The below call option is European. What is the minimum arbitrage profit at time T=1Y arising from the following prices? So = $19.63 T=1Y K = $18 C = $2.77 r = 6% (cont. comp. annual rate) (required precision 0.01 +/- 0.01)
?Q.19 Consider a European call option with the following parameters: Assuming a risk-free annual rate of 8%, what is the probability that the option will be exercised in a risk- neutral world? (If required, use the table at the beginning of the document for statistical calculations.) Strike price USD 48 Expiration 6 months Underlying's Price USD 50 Annual volatility 25% A B C 0.70 0.5761 0.6443 D 0.3668

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