A pass-through is issued with the following characteristics: • Mortgage pool: $5 million • All mortgages are FRM at 10% per year, 3-year maturity, yearly payment Pass-through: $5 million, yearly payment •Fee payment: 1.5% of outstanding loan balance • Assume prepayment rate: 3% of the mortgage pool for the 1st year, 5% for the 2nd year From the information above, we have the following table: Year 1 Beginning Mortgage Interest balance payment payment $5,000,000 $2,010,574 500,000 $1,510,574 150,000 Principal payment Pre- payment Fee payment $75,000 $1,935,574 $3,339, Payment to Ending investors balance 2 $3,339,426 1,924,146 $333,943 $1,590,203 $166,971 50,091 $1,874,054 1,582,2 3 1,582,252 $1,740,477 $158,225 1,582,252 $0 $23,734 $1,716,743 What is the value of this pass-through at 8% discount rate? $5,168,900 $4,339,025 $5,000,000 $4,761,703

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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A pass-through is issued with the following characteristics:
• Mortgage pool: $5 million
•
All mortgages are FRM at 10% per year, 3-year maturity, yearly payment
Pass-through: $5 million, yearly payment
•Fee payment: 1.5% of outstanding loan balance
• Assume prepayment rate: 3% of the mortgage pool for the 1st year, 5% for the
2nd year
From the information above, we have the following table:
Year
1
Beginning Mortgage Interest
balance
payment payment
$5,000,000 $2,010,574 500,000 $1,510,574 150,000
Principal
payment
Pre-
payment
Fee
payment
$75,000 $1,935,574 $3,339,
Payment to Ending
investors balance
2
$3,339,426 1,924,146 $333,943 $1,590,203 $166,971
50,091 $1,874,054 1,582,2
3
1,582,252
$1,740,477 $158,225 1,582,252
$0
$23,734 $1,716,743
What is the value of this pass-through at 8% discount rate?
$5,168,900
$4,339,025
$5,000,000
$4,761,703
Transcribed Image Text:A pass-through is issued with the following characteristics: • Mortgage pool: $5 million • All mortgages are FRM at 10% per year, 3-year maturity, yearly payment Pass-through: $5 million, yearly payment •Fee payment: 1.5% of outstanding loan balance • Assume prepayment rate: 3% of the mortgage pool for the 1st year, 5% for the 2nd year From the information above, we have the following table: Year 1 Beginning Mortgage Interest balance payment payment $5,000,000 $2,010,574 500,000 $1,510,574 150,000 Principal payment Pre- payment Fee payment $75,000 $1,935,574 $3,339, Payment to Ending investors balance 2 $3,339,426 1,924,146 $333,943 $1,590,203 $166,971 50,091 $1,874,054 1,582,2 3 1,582,252 $1,740,477 $158,225 1,582,252 $0 $23,734 $1,716,743 What is the value of this pass-through at 8% discount rate? $5,168,900 $4,339,025 $5,000,000 $4,761,703
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