User Account

All Pages

economics, Mathematics

Assignment Help:
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the
sum of all of the mortgages in it, so no generality is lost by examining the case of one loan:
E[port] = (1-p).B +p.(V-L)
where:
_ E[port] is the expected value of the portfolio
_ p is the probability of foreclosure
_ B is the principal balance
_ V is the sale price at foreclosure
_ L is the legal fees incurred by foreclosure
Assume that the borrower’s probability of foreclosure is an increasing function of his/her ”balance-to value ratio” (i.e. B/V):
P ? p (B/V) P’>0
In other words, borrowers who are deeper underwater are more likely to enter the foreclosure process. In such cases, reducing principal balances would reduce foreclosure-related losses (by reducing the probability of foreclosure). On the other hand, principal balance reductions are a direct loss for the lender.
1. Derive the marginal benefit of reducing principal balances.
2. Derive the marginal cost of reducing principal balances.
3. What is the necessary condition for maximizing E[port] with respect to the principal balance?
4. What is the sufficient condition for maximizing E[port]?
5. How does the marginal benefit curve shift in response to an increase in L?
6. How does the marginal cost curve shift in response to an increase in L?
7. How does the optimal principal balance change when L increases?

Related Discussions:- economics

Explain adding and subtracting in scientific notation, Explain Adding and S...

Explain Adding and Subtracting in Scientific Notation? To add or subtract numbers in scientific notation, the numbers must be expressed so that they have the same exponent.

Profit and loss, a shopkeeper buys two cameras at the same price . he sells...

a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p

Operation research, i have assignment in operatuion research can you help m...

i have assignment in operatuion research can you help me

Physical fitness association, Physical fitness association 1 mile run. It i...

Physical fitness association 1 mile run. It is known to have a normal distribution, mean 450 sec. SD 50 sec. How many in the top 10% fastest runners? Need to know what time they ha

Example of adding signed numbers, Example of Adding signed numbers: E...

Example of Adding signed numbers: Example: (2) + (-4) =      Solution: Start with 2 and count 4 whole numbers to the left. Thus: (2) + (-4) = -2 Adding

Accumulated amount , $26,000 is spended for two years. In the first year it...

$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded da

Shoppers'' stop, How should shoppers''stop develop its demand forecasts?

How should shoppers''stop develop its demand forecasts?

Algorithm, sinx

sinx

Abstract algebra, What is homomorphism ring

What is homomorphism ring

Addition, 4856+12334

4856+12334

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd