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

Monetary policy and fiscal policy, QUESTION Write short notes on any th...

QUESTION Write short notes on any three (3) of the following: (a) National income and the standard of living. (b) Globalization and its implications for developing countr

Quantitative , how many statics numericals in quantitative economics

how many statics numericals in quantitative economics

Limitations of pareto-optimal conditions as a measurement of, limitations o...

limitations of pareto-optimal conditions as a measurement of welfare

What is pps?, Packets per second (pps) are a measure of throughput for netw...

Packets per second (pps) are a measure of throughput for network devices like bridges, routers, and switches. It is a reliable measurement only if all packet sizes are the similar.

How could quality culture behaviours be applied in hospital, How could the ...

How could the quality culture behaviours be applied in a hospital? The total quality management approach and culture are extremely readily applied to a hospital. Usually, peopl

What is the development gap, What is the development gap? The developme...

What is the development gap? The development gap refers to the divergence between standards of living in the developed and developing world. As like Source World Bank:

What steps are needed to ensure proper change control, Changes frequently b...

Changes frequently bedevil IS projects. What steps are needed to make sure that proper change control is exercised onto a project? An effective change control system involves t

How a budget deficit of the government can cause inflation, QUESTION (a...

QUESTION (a) Use graphical methods to distinguish between cost push and demand pull inflation. (b) Explain how a budget deficit of the government can cause inflation. (c)

Defines the stages of e-government development, QUESTION ‘To assist pol...

QUESTION ‘To assist policy makers discern e-Government initiatives in relation to their responsibility vis-à-vis other governmental issues, it is critical that the Governmen

Prepare a schedule of budgeted and cash budget, Question: Yamba Home P...

Question: Yamba Home Products is just beginning its fourth quarter, in which peak sales occur. The company has requested a $12,000, 90-day loan from its bank to help meet cash

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