A mortgage pass-through security (PT) has a par value of $100,000, a 4% coupon paid monthly, and is based on 30 year mortgages. The current market rate for similar bonds is 3.5%, and prepayments currently equal $100 per month. Assume rates immediately rise to 4.5%, and prepayments drop to $40 as a result. The PT will now be paid off in month 310. What is the price of the PT today? Group of answer choices: $98,323.2214 $184,274.6844 $94,737.4877 $102,365.1248

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter6: Fixed-income Securities: Characteristics And Valuation
Section: Chapter Questions
Problem 4P
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A mortgage pass-through security (PT) has a par value of $100,000, a 4% coupon paid monthly, and is based on 30 year mortgages. The current market rate for similar bonds is 3.5%, and prepayments currently equal $100 per month. Assume rates immediately rise to 4.5%, and prepayments drop to $40 as a result. The PT will now be paid off in month 310. What is the price of the PT today? Group of answer choices:

$98,323.2214

$184,274.6844

$94,737.4877

$102,365.1248

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