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 and evaluate the rational expectations theory, QUESTION (a) Exp...

QUESTION (a) Explain and evaluate the rational expectations theory. (b) What is the major argument of the supply side economists in relation to taxation policy? How is it di

What are the predictions of balanced growth, What are the predictions of ba...

What are the predictions of balanced growth? When government can co-ordinate immediate investment in several industries one firm gives a market for another. It needs state pla

What is an interest sensitive good?, Things like housing and autos tend to ...

Things like housing and autos tend to be affected by changes in interest rates due to financing is typically needed to make such purchases. If financing becomes more costly due to

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

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

Explain natural monopoly and cross elasticity, Question 1 Part A - ...

Question 1 Part A - The following schedule shows the market for oranges. Use this data to answer the questions below. Provide full calculations for all your answers. (i)

Estimate the short-run and long-run elasticities, Consider the following mo...

Consider the following model: Y*i= β 0 X t β 1e U t a)  Using the stock adjustment model, estimate the short-run and long-run elasticities b) Comment on the following pr

How does foreign direct investment help development, How does foreign direc...

How does foreign direct investment (FDI) help development? Foreign direct investment (FDI) shows an injection of resources in the economy. When those resources are used to rai

What are the major problems in measuring national income, What are the majo...

What are the major problems in measuring national income? The major problems in measuring national income: a. Unreliable statistics data collection is costly and the figu

Political partiy., two political party called hawks show apoint ppf that th...

two political party called hawks show apoint ppf that the hawks might choose and a point the doves might choose

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