Ann buys a property that costs $1,000,000. She finances the purchase with a 70% LTV mortgage. She gets a 20 year interest only fixed rate mortgage at an annual interest rate of 5%, with annual compounding and annual payments. Ann must pay 2 points upfront in mortgage closing costs (as a % of the loan amount). The loan has a 5/4/3/2/1 prepayment penalty structure (she must pay a 5% penalty if she prepays at any time in the first year, 4% penalty in the second year, etc). Suppose Ann will sell the property during year 3, after she makes the 3rd year's mortgage payment and pays off the balance when she sells. What is Ann's annualized IRR for the loan ? A. 5.74% OB. 6.69% OC. 5.10% OD. 5.00%

EBK CFIN
6th Edition
ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 24PROB
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QUESTION 15
Ann buys a property that costs $1,000,000.
She finances the purchase with a 70% LTV mortgage.
She gets a 20 year interest only fixed rate mortgage at an annual interest rate
of 5%, with annual compounding and annual payments.
Ann must pay 2 points upfront in mortgage closing costs (as a % of the loan
amount).
The loan has a 5/4/3/2/1 prepayment penalty structure (she must pay a 5%
penalty if she prepays at any time in the first year, 4% penalty in the second
year, etc).
Suppose Ann will sell the property during year 3, after she makes the 3rd
year's mortgage payment and pays off the balance when she sells.
What is Ann's annualized IRR for the loan?
A. 5.74%
B. 6.69%
C. 5.10%
D. 5.00%
Transcribed Image Text:QUESTION 15 Ann buys a property that costs $1,000,000. She finances the purchase with a 70% LTV mortgage. She gets a 20 year interest only fixed rate mortgage at an annual interest rate of 5%, with annual compounding and annual payments. Ann must pay 2 points upfront in mortgage closing costs (as a % of the loan amount). The loan has a 5/4/3/2/1 prepayment penalty structure (she must pay a 5% penalty if she prepays at any time in the first year, 4% penalty in the second year, etc). Suppose Ann will sell the property during year 3, after she makes the 3rd year's mortgage payment and pays off the balance when she sells. What is Ann's annualized IRR for the loan? A. 5.74% B. 6.69% C. 5.10% D. 5.00%
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