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

Act upon of dip recession, There are some examples to government act upon o...

There are some examples to government act upon of dip recession. Number of unemployment last long years in companies and take away labour in order to decreased pressure on expen

What are the problems of environment in economic growth, What are the probl...

What are the problems of Environment in Economic Growth? Environment Problem: Economic growth can damage the environment by: • Negative externalities as an example waste thr

Methods of calculating national income, QUESTION (a) Explain the 3 meth...

QUESTION (a) Explain the 3 methods of calculating National Income? (b) Why do all countries in the world calculate their National Income every year, despite all the difficul

Standard deviation of the sample of interest rates, The following data show...

The following data show the interest rates on 4 randomly chosen personal loans (in percents): 6.1, 5.7, 11.1, 9. Calculate the standard deviation of the sample of interest rates. (

Libralisation, what is increaase libralisation?

what is increaase libralisation?

Average amount of debt families, The average amount of debt families have i...

The average amount of debt families have is 2.5 times their annual income with a standard deviation 0.75 times their annual income. How much debt does a family have to have (relati

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

Illustration of development process affected on culture, Illustrate some ex...

Illustrate some example of the development process affected on culture. Examples of the development process affected on culture: • Foreign Direct investment (FDI) and IMF st

What are harrod-domar restrictions, What are Harrod-Domar restrictions? ...

What are Harrod-Domar restrictions? Harrod-Domar restrictions: • Non economic social, cultural, political and institutional circumstances are unimportant into growth pro

Eco/561, purely competitive firms increase total revenue by

purely competitive firms increase total revenue by

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