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

Economics for business, Case study CORN is now struggling to keep up wi...

Case study CORN is now struggling to keep up with demand.  With corn supplies the tightest they have been since the mid-1990s, prices have risen substantially and are holding a

Define the using influences of contract staff for is project, Define the us...

Define the using influences of contract staff for IS project. Use of contract staff: Such are frequently an unknown quantity.  It is reasonable to assume that people who

Monetary transmission mechanism, QUESTION 1 Critically examine alternat...

QUESTION 1 Critically examine alternative theories of money demand and specify a demand for money equation for Mauritius. QUESTION 2 Discuss the macroeconomic and micro

How subsidies in agricultural trade is trade-distorting, Problem 1: (a)...

Problem 1: (a) Clearly distinguish between the theories of Comparative and Absolute advantage of trade (you are expected to use examples to illustrate your answer). (b) Acco

Explain the meaning of classical dichotomy, QUESTION Explain the meanin...

QUESTION Explain the meaning of classical dichotomy, neutrality of money and Walras law. b. "In a Walrasian general equilibrium model with money as a unit of account, only r

What are the functions of the central bank, QUESTION (a) Explain what f...

QUESTION (a) Explain what factors might determine the level of investment in an economy. (b) ‘If investment increases it will cause an increase in income. If income increase

What are the similarities among the developing economies, What are the simi...

What are the similarities among the developing economies? Common characteristics of LDCs (Less Developed Countries) include: • Low living standards (that is low real income

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

Supply, How is supply related to opportunity cost?

How is supply related to opportunity cost?

Macroeconomics, you are appointed secretary of the treasury of recently ind...

you are appointed secretary of the treasury of recently indepent country called rugaria

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