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S_A_V [24]
3 years ago
6

Tim wants to buy an apartment that costs $2,225,000 with an 85% LTV mortgage. Tim got a 30 year, 3/1 ARM with an initial teaser

rate of 4.875%. The reset margin on the loan is 300 basis points above 1 year CMT. There are no caps. Tim anticipates the index to be 3.50% at the time of the 1st reset. What is Tim’s monthly mortgage payment going to be during the 1st 3 years?
Business
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

monthly payment = $10,009 (rounded to nearest dollar)

Explanation:

A 3/1 adjustable rate mortgage (ARM) means that the monthly payment will be fixed during the first 3 years only. Then they should vary, although the variance is generally upwards. The monthly interest can be calculated by using the present value of an annuity formula:

monthly payment = present value of the loan / annuity factor

  • present value of the loan = $2,225,000 x 85% = $1,891,250
  • PV annuity factor, 0.40625%, 360 periods = 188.9615

monthly payment = $1,891,250 / 188.9615 = $10,008.65256 ≈ $10,009

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