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

Production, what factors affect the volume of production in an economy

what factors affect the volume of production in an economy

Is the impact of globalisation a problem, Is the impact of globalisation a ...

Is the impact of globalisation a problem? Globalisation consider as to the increasing integration of national economies into terms of financial flows, trade, concepts, informa

How is the social capital measured, How is the social capital measured? ...

How is the social capital measured? Measurement of the socilal capital: Social capital is a latest, multidimensional, qualitative idea which is problematic to measure. Res

Indirect test of the efficient contract model, QUESTION 1 (a) In what s...

QUESTION 1 (a) In what specific ways does Becker's model of the allocation of time differ from the simple work-leisure choice model? (b) Compare and contrast the functioning

Who will sell and buy permits, There are three industrial firms in a quaint...

There are three industrial firms in a quaint town of South Orange where the municipal government wants to reduce pollution to 120 units from uncontrolled level of 210 units. Three

The tipical structure of a company, At which of the stages in the tipical s...

At which of the stages in the tipical structure of a company is a business given an identity separate from its owners?

Agriculture economics, A1. Given the following production function Level of...

A1. Given the following production function Level of fertilizer Level of maize 0 0 1 44.9 2 83.6 3 110.1 4 127.3 5 136.9 6 139.9 7 137.1 8 129.2 a) Calculate the APP, MPP and elas

Calculate the weights for the long-term financing sources, Calculate the "w...

Calculate the "weights" for the long-term financing sources: Total Stockholder Equity, Long Term Debt, and Preferred Stock (if there is any of this).  Do this in two ways: (a

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