# please answer c) only Question 1. Consider a two-step binomial tree, where a stock that pays no dividends has current price 100, and at each time step can increase by 20% or decrease by 10%. The possible values at times T = 2 are thus 144, 108 and 81. The annually compounded interest rate is 10%.a) Calculate the price of a two-year 106-strike European put using risk-neutral probabilities.b) Calculate the price of a two-year 106-strike European put using replication.c) Calculate the price of a two-year 106-strike American put using replication, and hence verify that the American put has price strictly greater than the European.d) Calculate the prices of a two-year 86-strike European put and American put. What is different from part (c)?

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Question 1. Consider a two-step binomial tree, where a stock that pays no dividends has current price 100, and at each time step can increase by 20% or decrease by 10%. The possible values at times T = 2 are thus 144, 108 and 81. The annually compounded interest rate is 10%.

a) Calculate the price of a two-year 106-strike European put using risk-neutral probabilities.

b) Calculate the price of a two-year 106-strike European put using replication.

c) Calculate the price of a two-year 106-strike American put using replication, and hence verify that the American put has price strictly greater than the European.

d) Calculate the prices of a two-year 86-strike European put and American put. What is different from part (c)?

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Step 1

c.

Strike Price = 106

Spot or Current Price = 100

Call Price = 23.73

Calculation of Price of a 2-year 106-strike American put is as follows:

Step 2

Working Note:

Strike Price = 106

Spot or Current Price = 100

Calculation of American Call Price in different scenarios is as follows:

Step 3

Probability ...

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