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

What do you mean by standard of living, What do you mean by standard of liv...

What do you mean by standard of living? Standard of living (SoL): It is incomer per capita (head) and it is determined by national income (GDP) divided through total pop

Explain the term balance of payments, QUESTION (a) Explain the term Bal...

QUESTION (a) Explain the term Balance of Payments (BOP) and how a government would intervene to correct a BOP deficit. (b) Explain the protectionist measures that a governme

Explain why all firms aim at growing big in size, QUESTION a) Different...

QUESTION a) Differentiate between price, income and cross elasticity's of demand. b) How can the concept of price elasticity be useful to the owner of a supermarket who want

Quantitative Methods for Business, Please turn in the linear program for th...

Please turn in the linear program for the following problem. No need to solve the LP. Exercise 3 (Multi-Period Fixed Income Capital Budgeting) As part of the settlement for a class

Socio economic problems, what are the major socio economic problems of Indi...

what are the major socio economic problems of India which hamper the growth and development

Standard deviation of the sample of interest rates, The following data show...

The following data show the interest rates on 4 randomly chosen personal loans (in percents): 6.1, 5.7, 11.1, 9. Calculate the standard deviation of the sample of interest rates. (

BUSINESS CYCLES, FOUR CAUSES OF SLOW OF SOUTH AFRICA ECONOMY

FOUR CAUSES OF SLOW OF SOUTH AFRICA ECONOMY

What are development policies, What are development policies? Developm...

What are development policies? Development policies are strategies adopted through governments, international agencies as like the IMF and non-government organisation (NGOs) a

How can the size of shadow economy estimated, How can the size of shadow ec...

How can the size of shadow economy estimated? The size of the shadow economy is estimated when activity is undeclared as the amount of informal activity can be calculated: a

Firm, What is a firm

What is a firm

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