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from a given risk neutral tree can you compute the mar- ket participants' expectation on the level of interest rates in the future? Explain.

A) True
B) False

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What values can a one year zero coupon bond take at t =0.5?

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It can be ...

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What is risk neutral pricing?

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Risk neutral pricing means to deliberately modify the probabilities on a tree or model, in order to set the market price of risk to zero. This simplifies the calcualations made when pricing securities.

Assuming that there is a risk premium in the market (people worry about risk and expect to be compensated for it), is risk neutral probability for an up state (high interest rates) higher, lower or the same as the risk natural probability?

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Risk neutral probabilities tend to be hi...

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Using risk neutral pricing obtain the value for a European option on inter- est rates with maturity at t =0.5, rK =1.5% and payo?: 100 × max(rt ? rK, 0).

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The price ...

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What is a risk neutral probability?

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Risk neutral probability is th...

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Why are forward interst rates and the risk neutral expected future interest rates not the same?

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The key to understand this is that price...

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What is the market price of risk underlying the tree presented?

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For pricing purposes how important is it to know the true probabilities?

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It is not important to know the true probabilities, as long as they are consistent. This is shown by the fact the we use risk neutral probabilities to price, knowing that they are not the true (risk natural) probabilities.

You are given the following interest rate tree. Use it when required in the exercises. You are given the following interest rate tree. Use it when required in the exercises.   -What is a replicating portfolio? -What is a replicating portfolio?

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What is the risk neutral probability p∗ ofthetreepresented?

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We have th...

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You are given the following interest rate tree. Use it when required in the exercises. You are given the following interest rate tree. Use it when required in the exercises.   -What is the favored approach in the development of interest rate models? CAPM? -What is the favored approach in the development of interest rate models? CAPM?

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The favored approach is to use...

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Are forward interest rates equal to the market's expectation of future interest rates?

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No. Current high forward rates...

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Given the tree at the begining of this chapter, what is the value of a zero coupon bond maturing in six months?

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The value ...

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What is the market price of risk?

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The market price of risk is defined by th...

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