an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year. The following are the current and index rates: Time At origination (for yr 1) At end of yr 1 (for yr 2) At end of yr 2 (for yr 3) At end of vr 3 (for yr 4) T-Bill Yield (given) 4.50% 7.00% 9.00% 5.00%

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
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Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly
payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points
above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points
(i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year.
The following are the current and index rates:
Time
T-Bill Yield (given)
At origination (for yr 1)
4.50%
At end of yr 1 (for yr 2)
7.00%
At end of yr 2 (for yr 3)
9.00%
At end of yr 3 (for yr 4)
5.00%
At end of yr 4 (for yr 5)
8.00%
# 5). If the loan is repaid at the end of year two (2), what amount of discount points should the
lender have charged to earn an effective yield of 9%?
2.42 points
O 4.97 points
3.27 points
1.98 points
O 0.50 points
O 3.97 points
Transcribed Image Text:Consider an adjustable rate mortgage (ARM) of $190,000 with a maturity of 30 years and monthly payments. At the end of each year, the interest rate is adjusted to become 2.5 percentage points above the index. There is an annual cap of 250 basis points, and a lifetime cap of 500 basis points (i.e., with 2.5/5 interest rate caps). The lender offers a teaser of 1.00% for the first year. The following are the current and index rates: Time T-Bill Yield (given) At origination (for yr 1) 4.50% At end of yr 1 (for yr 2) 7.00% At end of yr 2 (for yr 3) 9.00% At end of yr 3 (for yr 4) 5.00% At end of yr 4 (for yr 5) 8.00% # 5). If the loan is repaid at the end of year two (2), what amount of discount points should the lender have charged to earn an effective yield of 9%? 2.42 points O 4.97 points 3.27 points 1.98 points O 0.50 points O 3.97 points
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