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

Explain the law of demand and the factors affecting demand, QUESTION (a...

QUESTION (a) Explain the law of demand and the factors affecting demand. (b) Explain and illustrate how demand of a commodity will change if there is a tax on that product.

Business cycle, Analyse the effect of contraction phase to the vulnerable s...

Analyse the effect of contraction phase to the vulnerable society

Fixed vs. flexible exchange rate, what is fixed vs.flexible rate of exchang...

what is fixed vs.flexible rate of exchange agreement?

What are state approaches to developing, What are state approaches to devel...

What are state approaches to developing? The government supposes responsibility for economic planning to attain the best possible utilize of scarce resources. An economic plan

Define five areas where project costs could increase, Staff time is general...

Staff time is generally the principal cost component of an IS project. Define five other areas where project costs could increase. Project costs also occur by: • Contract la

What is dual economy and development in an economy, What is dual economy an...

What is dual economy and development in an economy? Development in an economy: Differentiated or uneven development arises while the benefits of growth are not shared ev

Final Project #2, I do not understand what to do when it comes to the quest...

I do not understand what to do when it comes to the questions for the Social Responsibility and the Stakeholders on the Clean Power Company which is based in Cincinnati, Ohio has b

What is the capital-output ratio, What is the capital-output ratio? ...

What is the capital-output ratio? Capital-output ratio: This ratio (k) is the amount of capital required to produce £1 of Gross Domestic Product generated, every year.

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