Question

In: Finance

2. What are the four major categories of mortgages and what percentage of the overall market...

2. What are the four major categories of mortgages and what percentage of the overall market does each entail?

18. Describe a collateralized mortgage obligation. How is a CMO created?

4. You plan to purchase a $150,000 house using a 15-year mortgage obtained from your local credit union. The mortgage page 238rate offered to you is 5.25 percent. You will make a down payment of 20 percent of the purchase price.

  1. Calculate your monthly payments on this mortgage.

  2. Construct the amortization schedule for the first six payments.

Solutions

Expert Solution

(2) Four basic categories of mortgages are issued by financial institutions: home, multi-familydwelling, commercial, and farm.

Total mortgage debt outstanding at the end of 2018 was $15.419 trillion

Home mortgages ($10.882 trillion, or 70.58%) are used to purchase one-to-four family dwellings. Multifamily dwelling mortgages ($4.42 trillion, or 9.18%) are used to finance the purchase of apartment complexes, townhouses, and condominiums. Commercial mortgages, or nonfarm nonresidential mortgages ($2.87 trillion, or 18.62%) are used to finance the purchase of real estate for business purposes (e.g., office buildings, shopping malls). Farm mortgages ($0.25 trillion, or 1.62%) are used to finance the purchase of farms.

(18) A collateralized mortgage obligation (CMO) is a security that is tied to an underlying pool of mortgages.

It is created by lending institutions in this manner :

  • Lenders typically lend to many different types of borrowers
  • the mortgages owned by the lenders are pooled together
  • the underlying pool is sub-divided into various tranches based on the borrower's risk
  • each tranche is broken up into a large number of securities, each with a small face value
  • these securities represent the principal and interest repayments of the borrowers
  • these securities are now issued to investors, who buy them as per their risk appetite and return requirements
  • the lenders acts as an intermediary between the borrowers and the CMO investors

(4)

Down payment is 20%. So the principal outstanding at the beginning of the mortgage is $150,000 * 80%, which is $120,000

The monthly payment is calculated using the PMT function in Excel with these inputs :

rate = 5.25%/12

nper = 15 * 12

pv = -120,000

We calculate PMT (the monthly payment) to be $964.65

Interest portion of payment = principal outstanding at beginning * 5.25% / 12

Principal portion of payment = payment minus interest portion

principal outstanding at end = principal outstanding at beginning minus principal portion of payment

Month Principal outstanding at beginning Payment Interest Principal Principal outstanding at end
0 $120,000
1 $120,000 $964.65 $525.00 $440 $119,560
2 $119,560 $964.65 $523.08 $442 $119,119
3 $119,119 $964.65 $521.14 $444 $118,675
4 $118,675 $964.65 $519.20 $445 $118,230
5 $118,230 $964.65 $517.26 $447 $117,782
6 $117,782 $964.65 $515.30 $449 $117,333

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