Inflation expectations, Business Economics

Assignment Help:
An individual holds B_0 dollars in a saving accountant at t=0 and earns continuously compounded interest at a nominal rate r. Therefore, the nominal value of his savings at time t is given B_t=e^rt. To find out the real value of his savings at each moment in time, we must divide by the price level. Assume the price level follows a geometric Brownian motion:
dP=pPdt+sPdz
where p is the expected rate of inflation and s is its volatility parameter
Let B_t/P_t be the real value of savings. Derive the law of motion for b using Ito’s Lemma. (Hint: you should obtain a law db=f (b)dt+ g(b)dz, where f and g are functions og just b for you to derive)
What is the individual’s expected real rate of return on his savings?
Calculate the expected real value of the individual’s savings at time t from the point of view of t=0, i.e E_¦(0@)[b_t]

Related Discussions:- Inflation expectations

Theories of absolute and comparative advantage of trade, Question 1: (a...

Question 1: (a) Clearly distinguish between the theories of Absolute and Comparative advantage of trade. (b) According to you, can the ‘Factor Endowment Theory' be a reaso

Anti-dilution protection, Suppose that EBV makes a $6m Series A investment ...

Suppose that EBV makes a $6m Series A investment in Newco for 1m shares at $6 per share. One year later, Newco has fallen on hard times, and receives a $6m Series B financing from

Price elasticity of demand, explain why each of the following factors influ...

explain why each of the following factors influence the own price elasticity of demand for a comodity 1. Consumer preferences 2. the narrowness of definiton of the commodity

What is social cohesion, What is social cohesion? Social cohesion: ...

What is social cohesion? Social cohesion: Social cohesion is regarding how united, cooperative, connected and trustful a society is. This cohesion desires tolerance for c

What are less developed countries, What are Less Developed Countries (LDCs)...

What are Less Developed Countries (LDCs)? Less Developed Countries: Developing countries are frequently considered to as less developed countries. The World Bank categor

What are the advantages to the project manager, What are the advantages to ...

What are the advantages to the project manager in giving regular progress reports to the project team members? People working onto a project as to have an understanding of how

What is urbanisation, What is urbanisation? Urbanisation arises while a...

What is urbanisation? Urbanisation arises while an increasing proportion of the population live into cities, suburbs or towns. All cities are attractive to potential migrants s

Intro to business, Marketing is impacted by influences outside the business...

Marketing is impacted by influences outside the business control that constrain the organizations ability to manipulate its marketing mix. These environmental included (a) competi

What is foreign debt management, What is Foreign Debt Management? Debt...

What is Foreign Debt Management? Debt management considers as to the arrangements made to: • Protected the suitable amount of borrowing to deliver growth • Ignore excess

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