Binomial and continuous model - mathematics of finance, Finance Basics

Assignment Help:

Consider a binomial model of a risky asset with the parameters r = 0:06, u = 0:059, d = 0:0562, S0 = 100, T = 1, 4t = 1=12. Note that u and d are monthly effective rates of return and r is the annual effective risk-free interest rate.

(1) Determine the price of a European put option with strike price X = 98 on the above non-dividend paying asset at time 0 and find x(1); y(1), i.e., the number of shares of the stock and risk-free asset needed at time 0 to replicate the European option over the first time-step.

(2) Compute the Black-Scholes price of a European put option with the above specifications and report the relative error between the price obtained in (1) and the Black-Scholes price, i.e., compute,

2489_Binomial and Continuous Model.png

compute x(1); y(1), i.e., the number of shares of the stock and risk-free asset needed at time 0 to instantaneously delta hedge the European put option. Compare x(1); y(1) with the values computed in part (1).


Related Discussions:- Binomial and continuous model - mathematics of finance

Explain mechanics of security trading in stock exchange, Explain Mechanics ...

Explain Mechanics of security trading in Stock Exchange Introduction: An investor should have some knowledge of how the securities markets operate. Marketing of old or new se

Advantages of floatation of new shares, Advantages of Floatation of New Sha...

Advantages of Floatation of New Shares 1. It facilitates the matter of securities to increase new finance, creation a company less dependent on retained earnings and banks.

Bank draft, what is bank draft?How it can be prepared?

what is bank draft?How it can be prepared?

Profit maximization - objectives of business entity, Profit maximization - ...

Profit maximization - Objectives of Business Entity Conventionally, this was considered to be the main goal of the firm. Profit maximization refers to getting the highest poss

Growth rate, Growth rate : The average of PC manufacturing industry growth ...

Growth rate : The average of PC manufacturing industry growth rate was 22.24% for 2004, 20% for 2005, and 17.29% for 2006. It showed that the industry's growth rate has been declin

Hedging at Porsche, 1. Should Porsche hedge its foreign exchange risks? 2...

1. Should Porsche hedge its foreign exchange risks? 2. How does Porsche hedge its foreign exchange risk? 3. What is the best hedging strategy? 4. How did Porsche build its Vo

Price - sales of goods, Price - Sales of Goods Like where section 10 p...

Price - Sales of Goods Like where section 10 provides such the price for goods may like fixed by like: (i) Contract; and one is (ii) The manner provided within the contr

Determining the rules for resolving conflict, Instructions: Read the Herzbe...

Instructions: Read the Herzberg findings related to extrinsic and intrinsic factors driving job satisfaction, dissatisfaction and motivation. To what extent should employers feel r

Estimate the present value of benefits, (a) A couple has just celebrated th...

(a) A couple has just celebrated their 25th wedding anniversary. What is the probability of them celebrating their 50th wedding anniversary, if the husband is aged exactly 50, his

Operations research, A paper mill produces two grades of paper viz., X and ...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd