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

OLIGOPOLY, EXPLAIN WHY INTERDEPENDENCE IN OLIGOPOLY RESULTS IN A TENSION BE...

EXPLAIN WHY INTERDEPENDENCE IN OLIGOPOLY RESULTS IN A TENSION BETWEEN COOPERATION AND COMPETITION.

Explain the implications international capital flows problem, Explain the i...

Explain the implications international capital flows problem. Implications: • FDI can assist physical capital accumulation and result within growth - usually beneficial b

The advantages of free market economy, There are many benefits to a free ma...

There are many benefits to a free market economy. They range from the moral issues to the practical issues. We will deal mainly with the practical ones. Unprecedented innovati

How can value management be utilized, How can value management be utilized ...

How can value management be utilized to compare various possible design solutions? When the bottom-level objectives for a project have been acknowledged through these technique

How the producer may raise his total revenue, (a) Using the basic concept ...

(a) Using the basic concept of price elasticity of demand for his product, describe how the producer may raise his total revenue. (b) With reference to an initial set of marke

Development through trade - lower income countries, Development Strategies ...

Development Strategies are explained as follows: Keeping the reasons for the persistent poverty in the LICs aside, there are three broad progress strategies which have been ado

Determine what is the quality of money, The economy of Cotai contains 2000 ...

The economy of Cotai contains 2000 $1 bills. (a) If people hold all money as currency, what is the quantity of money? (b) If people hold all money as demand deposits and bank

Explain critics of the international monetary fund argue, Explain critics o...

Explain critics of the International Monetary Fund argue. Critics of the International Monetary Fund (IMF) argue: • The IMF is suffering through mission creep and requiremen

Explain the real business cycle theory, QUESTION (a) Explain the real b...

QUESTION (a) Explain the real business cycle theory. (b) Using appropriate diagrams differentiate between inflationary and deflationary gaps. (c) Differentiate between th

Control the circulation of money in the economy, QUESTION (a) State whe...

QUESTION (a) State whether the following statements are TRUE or FALSE. Clearly explain your answer. (i)The Keynes liquidity Preference theory stipulates that money demand is

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