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

How is gross domestic product capturing economic dimension, How is Gross Do...

How is Gross Domestic Product capturing the economic dimension of human well-being? GDP (Gross Domestic Product) only captures the economic dimension of human well-being. All c

Effective private sector involvement, Problem 1: (a) The Mauritian gove...

Problem 1: (a) The Mauritian government is now increasingly involving the private sector in the development of the economy. How can government support effective private sector

Current vs. historical costs, Accountants prepare income statements typical...

Accountants prepare income statements typically in terms of historical costs, in terms of the purchase price, rather than in terms of the current price. The reasons given for this

Optimal Pricing for an Aggregate Demand Curve., Suppose you have ten indivi...

Suppose you have ten individuals with values ( $1, $2, $3, $4, $5, $6, $7, $8, $9, $10) . Your marginal cost of production is $2.50. What is the profit maximizing price?

#title.BUS100., Find 1-3 articles that discuss the competition between Targ...

Find 1-3 articles that discuss the competition between Target and Walmart.

Why do markets work into promoting development, Why do markets work into pr...

Why do markets work into promoting development? Liberal economists dispute a free market economy works since this gives incentives for self-generating growth. Particularly the

Difference between absolute and comparative advantage, What is the differen...

What is the difference between absolute and comparative advantage? Difference between absolute and comparative advantage: • Absolute advantage arises while a country or reg

Does the structure of the population issue, Does the structure of the popul...

Does the structure of the population issue? Dependents into an economy, children as well as old people are assists by the economically active. Dependency ratio uses to measure

What are harrod-domar assumptions, What are Harrod-Domar assumptions? T...

What are Harrod-Domar assumptions? The H-D (Harrod-Domar) model assumes as: • Fixed capital output ratio. Nonetheless, diminishing marginal returns to capital element exist

Find taxes that arise at a median voter, In a model where a continuum of in...

In a model where a continuum of individuals have preferences for consumption and leisure as follows w i = c i + ln(x i ) and individuals differ in their labour endowments e

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