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Problem 1 Consider the following fixed-rate, level-payment mortgage: maturity = 360 months, amount borrowed = $1,000,000, annual mortgage rate = 5%. Construct an amortization schedule
Problem 1 | ||||||||||
Consider the following fixed-rate, level-payment mortgage: maturity = 360 months, amount borrowed = $1,000,000, annual mortgage rate = 5%. Construct an amortization schedule for the first 12 months. | ||||||||||
Problem 2 | ||||||||||
Using the same fixed rate mortgage as in problem A, answer the following questions: | ||||||||||
a) What will the mortgage balance be at the end of the 360th month assuming no prepayments? | ||||||||||
b) Without constructing an amortization schedule, what is the mortgage balance at the end of month 170 assuming no prepayments? | ||||||||||
c) Without constructing an amortization schedule, what is the scheduled principal payment at the end of month 170 assuming no prepayments? | ||||||||||
Problem 3 | Problem 4 | |||||||||
Complete the following table: | Complete the following table: | |||||||||
CPR Assuming: | SMM Assuming: | |||||||||
Month | 50% PSA | 175% PSA | 400% PSA | Month | 50% PSA | 175% PSA | 400% PSA | |||
1 | 1 | |||||||||
4 | 4 | |||||||||
9 | 9 | |||||||||
27 | 27 | |||||||||
40 | 40 | |||||||||
120 | 120 | |||||||||
340 | 340 |
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