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A mortgage pool is worth $10 million. Each mortgage has interest rate of 6%, term of 30 years and monthly payments based on full amortization.

A mortgage pool is worth $10 million. Each mortgage has interest rate of 6%, term of 30 years and monthly payments based on full amortization. Mortgage servicing fee is an annual 1.2% of the mortgage balance charged on monthly basis as a percentage of the mortgage balance at the beginning of the month. What is the value marked by X?

Month

Beginning
Balance

Required
Payment


Interest


Principal

Expected
Prepayment

Servicing
Fee

Ending
Balance

1

10,000,000

59,955

50,000

 

15,000

 

 

2

 

 

49,875

 

30,000

X

9,935,055

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