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One Hundred Identical Mortgages Are Pooled Together into a Pass-Through

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One hundred identical mortgages are pooled together into a pass-through security.Each mortgage has a $150,000 principal,a fixed annual interest rate of 8 percent (paid monthly) ,and is fully amortized over a term of 30 years.

What is the present value of the mortgage pass-through if,immediately after origination,interest rates increase to 8.25 percent per annum?


Definitions:

Absorption

The process by which substances are taken up into or across tissues, such as the absorption of nutrients by the digestive system or chemicals through the skin.

Cephalosporins

A class of antibiotic drugs used to treat a wide variety of bacterial infections, operating by disturbing the synthesis of the bacterial cell wall.

Penicillins

A group of antibiotics derived from Penicillium fungi, used to treat bacterial infections.

Pharmacotherapeutics

The study of how drugs are used to treat disease; also called clinical pharmacology.

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