Chapter 14 Homework Assignment
Finance 4063: Financial Institutions and Markets
Name _________________________________
1. What is the purpose of requiring that a borrower make a down payment before receiving a loan?
2. What kind of insurance do lenders usually require of borrowers who have less than an 80% loanto- value ratio?
3. Interpret what is meant when a lender quotes the terms on a loan as “floating with the T-bill plus 3
with caps of 1 and 5.”
4. Compute the required monthly payment on a $150,000 30-year fixed-rate mortgage with a
nominal interest rate of 8%. What is the balance due at the end of the first year?
5. Refer to problem 4. What is the total amount of inter- est paid over the life of the loan?
6. A mortgage on a house worth $350,000 requires what down payment to avoid PMI insurance?
Chapter 14
The Mortgage
Markets
Chapter Preview (1 of 2)
The average price of a U.S. home is well over $232,500. For most
of us, home ownership would be impossible without borrowing
most of the cost of a home.
Chapter Preview (2 of 2)
Topics include:
– What Are Mortgages?
– Characteristics of Residential Mortgages
– Types of Mortgage Loans
– Mortgage-Lending Institutions
– Loan Servicing
– Secondary Mortgage Market
– Securitization of Mortgages
What are Mortgages?
• A long-term loan secured by real estate
• An amortized loan whereby a fixed payment pays both principal
and interest each month
Table 14.1 Mortgage Loan Borrowing, 2016
Type of Property
Mortgage Loans
Issued ($ billions)
Proportion of
Total (%)
One- to four-family dwelling
9,986
72.38
Multifamily dwelling
1,099
7.97
Commercial building
2,506
18.16
205
1.49
Farm
What Are Mortgages? History (1 of 2)
• Mortgages were used in the 1880s, but massive defaults in the
agricultural recession of 1890 made long-term mortgages
difficult to attain.
• Until post-WWII, most mortgage loans were short-term balloon
loans with maturities of five years or less.
What Are Mortgages? History (2 of 2)
• Balloon loans, however, caused problems during the
depression. Typically, the lender renews the loan. But, with so
many Americans out of work, lenders could not continue to
extend credit (sound familiar?).
• As a part of the depression recovery program, the federal
government assisted in creating the standard 30-year mortgage
we know today.
Characteristics of the Residential
Mortgage
• Mortgages can be roughly classified along the following three
dimensions:
– Mortgage Interest Rates
– Loan Terms
– Mortgage Loan Amortization
Characteristics of the Residential
Mortgage: Mortgage Interest Rates
• The stated rate on a mortgage loan is determined by three
rates:
– Market Rates: general rates on Treasury bonds
– Term: longer-term mortgages have higher rates
– Discount Points: a lower rates negotiated for cash up front
Figure 14.1 Mortgage Rates and Long-Term
Treasury Interest Rates, 1985–2016
Source: http://www.federalreserve.gov/releases/h15/data.htm.
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (1 of 5)
• Suppose you had to choose between a 12% 30-year mortgage
or an 11.5% mortgage with 2 discount points. Which should you
choose? Assume you wished to borrow $100,000.
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (2 of 5)
• First, examine the 12% mortgage. Using a financial calculator,
the required payments is:
• n = 360, i = 1.0, PV = 100,000,
• Calculate the PMT. PMT = $1,028.61
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (3 of 5)
• Now, examine the 11.5% mortgage. Using a financial calculator,
the required payments is:
• n = 360, i = 11.5/12, PV = 100,000,
• Calculate the PMT. PMT = $990.29
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (4 of 5)
• So, paying the points will save you $38.32 each month.
However, you have to pay $2,000 upfront.
• You can see that the decision depends on how long you want to
live in the house, keeping the same mortgage.
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (5 of 5)
• If you only want to live there 12 months, clearly the $2,000
upfront cost is not worth the monthly savings.
Table 14.2 Effective Rate of Interest on a
Loan at 12% with 2 Discount Points
Year of
Payment
Effective Rate of
Interest (%)
Year of
Prepayment
Effective Rate
of Interest (%)
1
14.54
6
12.65
2
13.40
7
12.60
3
13.02
10
12.52
4
12.84
15
12.45
5
12.73
30
12.42
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (1 of 3)
• Many mortgage lenders will point to the
30-year effective rate of interest, and argue that the points are a
good deal (and it is here, compared to the 12.68% effective rate
on a 12% nominal rate mortgage).
• Although the calculation is correct, the information is not what
you need.
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (2 of 3)
You need to determine when the present value of the savings
($38.32) equals the $2,000 upfront. Using a financial calculator,
this is:
i = 1, PV = −2,000, PMT = 38.32
Calculate n. n = 74 months, or about 6.2 years.
Characteristics of the Residential Mortgage:
Mortgage Interest Rates & Points (3 of 3)
• So, if you think you will stay in the house and not refinance for
at least 6.2 years, paying the $2,000 for the lower payment is a
sound financial decision.
• Otherwise, you should accept the 12% loan.
Characteristics of the Residential
Mortgage: Loan Terms (1 of 3)
Mortgage loan contracts contain many legal terms that need to be
understood. Most protect the lender from financial loss.
• Collateral: usually the real estate being finance
• Down payment: a portion of the purchase price paid by the
borrower
Characteristics of the Residential
Mortgage: Loan Terms (2 of 3)
• Mortgage loan contracts contain many legal terms that need to
be understood. Most protect the lender from financial loss.
• PMI: insurance against default by the borrower
• Qualifications: includes credit history, employment history, etc.,
to determine the borrowers ability to repay the mortgage as
specified in the contact
Characteristics of the Residential
Mortgage: Loan Terms (3 of 3)
Lenders will also order a credit report from one of the credit
reporting agencies.
• The score reported is called the FICO.
• The range is 300 to 850, with 660 to 720 being average.
• Payment history, debt, and even credit card applications can
affect your credit score.
Characteristics of the Residential
Mortgage: Loan Amortization
Mortgage loans are amortized loans:
• fixed, level payment
• pays interest due plus some principal
• balance on the mortgage will be zero when the last payment is
made
Table 14.3 Amortization of a 30-Year,
$130,000 Loan at 8.5%
Payment
Number
Beginning
Balance of
Loan
Monthly
Payment
Amount
Applied to
Interest
Amount
Applied to
Principal
Ending
Balance of
Loan
1
130,000.00
999.59
920.83
78.76
129,921.24
24
128,040.58
999.59
906.95
92.64
127,947.95
60
124,257.09
999.59
880.15
119.44
124,137.65
120
115,366.01
999.59
817.18
182.41
115,183.60
180
101,786.66
999.59
720.99
278.60
101,508.06
240
81,046.91
999.59
574.08
425.51
80,621.40
360
992.56
999.59
7.03
992.56
0.00
Types of Mortgage Loans (1 of 2)
• Insured vs. Conventional Mortgages: if the down payment is
less than 20%, insurance is usually required
• Fixed-Rate Mortgages: the interest rate is fixed for the life of the
mortgage
• Adjustable-Rate Mortgages: the interest rate can fluctuate within
certain parameters
Types of Mortgage Loans (2 of 2)
• Other Types
– Graduated-Payment Mortgages (GPMs)
– Growing Equity Mortgages (GEMs)
– Second Mortgages
– Reverse Annuity Mortgages (RAMs)
– Option ARMs
• The following table lists additional characteristics on all the
loans.
Table 14.4 Summary of Mortgage Types (1 of 2)
Conventional mortgage
Loan is not guaranteed; usually requires
private mortgage insurance; 5% to 20%
down payment
Insured mortgage
Loan is guaranteed by FHA or VA; low or
zero down payment
Adjustable-rate
mortgage (ARM)
Interest rate is tied to some other security
and is adjusted periodically; size of
adjustment is subject to annual limits
Graduated-payment
mortgage (GPM)
Initial low payment increases each year; loan
amortizes in 30 years
Table 14.4 Summary of Mortgage Types (2 of 2)
Growing-equity
mortgage (GEM)
Initial payment increases each year; loan
amortizes in less than 30 years
Second mortgage
Loan is secured by a second lien against the
real estate; often used for lines of credit or
home improvement loans
Reverse annuity
mortgage
Lender disburses a monthly payment to the
borrower on an increasing-balance loan; loan
comes due when the real estate is sold
Mortgage-Lending Institutions
• Originally, thrift institutions were the primary originator of
mortgages in the U.S. and, therefore, the primary holder of
mortgage loans.
• As the next figure illustrates, this is not the case anymore.
Figure 14.2 Share of the Mortgage Market
Held by Major Mortgage-Lending Institutions
Source: http://www.federalreserve.gov/econresdata/releases/mortoutstand/current.htm.
Loan Servicing (1 of 2)
• Most mortgages are immediately sold - frees cash to originate
another loan.
• Loan servicers collect monthly payments, usually keeping a
portion of the payments received.
Loan Servicing (2 of 2)
In all, there are three distinct elements in mortgage loans:
• The originator packages the loan for an investor
• The investor holds the loan
• The servicing agent handles the paperwork
E-Finance: Borrowers Shop the Web for
Mortgages
Mortgages used to originate from a local bank. But the web is
well-suited to handle online mortgage origination:
• This is a financial product—nothing really needs to be delivered
• Mortgages are fairly standardized. There is no product
differentiation to consider.
• Little bank loyalty for borrowers
• Online lenders have low overhead, and so lower fees.
Secondary Mortgage Market
• The secondary mortgage market was originally established by
the federal government after WWII when it created Fannie Mae
to buy mortgages from thrifts.
• The market experienced tremendous growth in the early to mid1980, and has continued to remain a strong market in
the U.S.
Securitization of Mortgages (1 of 2)
• The securitization of mortgages developed because of the risk
of default and costs of prepayment / servicing.
• A pool of mortgages reduces this problem through
diversification.
Securitization of Mortgages (2 of 2)
• The mortgage-backed security (MBS) is created.
• Pools including hundreds of mortgages.
• Rights to the cash flows sold as separate securities.
• At first, simple pass-through securities were designed.
Securitization of Mortgages: The
Mortgage Pass-Through
• Definition: A security that has the borrower’s mortgage
payments pass through the trustee before being disbursed to
the investors
• This design did eliminate idiosyncratic risk, but investors still
faced prepayment risk.
The Impact of Securitization on the
Mortgage Market
• The value of mortgages held in pools is reaching nearly $8.0
trillion near the end of 2009.
• Fell dramatically
• The securities compete for funds along with all other bond
market participants.
Figure 14.3 Value of Mortgage Principal
Held in Mortgage Pools, 1984–2016
Source: http://www.federalreserve.gov/econresdata/releases/mortoutstand/current.htm.
Securitization of Mortgages: Types of
Pass-Throughs
There are a variety of different types of pass-through securities.
We will briefly look at three:
• GNMA Pass-Throughs
• FHLMC Pass-Throughs
• Private Pass-Throughs
Securitization of Mortgages: GNMA
Pass-Throughs
Ginnie Mae began guaranteeing pass-throughs in 1968.
• GNMA mortgages can be originated by many different financial
institutions.
• GNMA aggregates the mortgages and issues pass-throughs
with rights to interest and principle.
• GNMA also offers default insurance on the mortgages in the
pools.
Securitization of Mortgages: FHLMC
Pass-Throughs (1 of 2)
Freddie Mac buys mortgages and packages them for resale in
MBSs.
• FHLMC pools contain mortgages that are not guaranteed, and
may have different rates, etc.
• Pass-through securities issued by Freddie are called
participation certificates.
Securitization of Mortgages: FHLMC
Pass-Throughs (2 of 2)
• Definition: A CMO is a structured MBS where investor “tranches”
have different rights to different sets of cash flows.
• This design structured the prepayment risk. Some tranches had
little prepayment risk, while other had a lot.
• Freddie Mac helped originate these structures, and continues to
innovate new tranche designs.
Securitization of Mortgages: Private PassThroughs
• BankAmerica offered the first private pass-through in 1977.
• Non-agency issuers are free to incorporate any type of
mortgages into their MBSs, including jumbo loans, Alt-A loans,
and other non-traditional mortgages.
Subprime Mortgages and CDOs (1 of 3)
• Subprime loans are loans to borrowers who have poor credit
ratings or other issues with collateral, etc.
• In 2000, only 2% of mortgages were subprime. This climbed to
17% by 2006.
• The average FICO score was 624 for subprime borrowers.
Prime mortgage borrowers were 742.
Subprime Mortgages and CDOs (2 of 3)
• However, these mortgages were hailed by politicians and
bankers alike. They helped less-then-perfect borrowers secure
the “American Dream” of owning a home. And since real estate
prices can’t fall (right?), there is little risk involved.
Subprime Mortgages and CDOs (3 of 3)
Several factors lead to this dramatic increase in subprime lending:
• New mortgage products (2/28 ARMS, Option ARMS, NoDoc
loans) made expensive houses “affordable” (sort-of).
• The creation of CDOs helped create deal flow to continue
lending in subprime markets.
• When house prices were increasing, subprime borrowers had
an out if problems arose.
The Real Estate Bubble (1 of 2)
Between 2000 and 2005 home prices increased an average of 8%
per year. The run up in prices was cause by two factors:
• The increase in subprime loans created new demand for
housing
• Real estate speculators
The Real Estate Bubble (2 of 2)
In the aftermath of the financial meltdown, lending policies have
largely returned to selecting capable borrowers:
• CDO issuance peaked in 2006 at $520b, but in 2009 fell to
$4.2b. Up to $58b in 2012.
• New legislation, such a Frank-Dodd, may require mortgage
originators to hold a part of the mortgages they create.
Chapter Summary (1 of 4)
• What Are Mortgages? Loans made for the purchase on real
property, and usually collateralized by the purchased property.
• Characteristics of Residential Mortgages: includes the length of
the mortgage, the terms, and the rate charges for the loan
Chapter Summary (2 of 4)
• Types of Mortgage Loans: includes conventional, insured, fixed
and variable rate, and a variety of other designs.
• Mortgage-Lending Institutions: the primarily originator and
holder of mortgages is no longer thrift institutions as other
attempt to generate fees
Chapter Summary (3 of 4)
• Loan Servicing: the fees generated by collecting, distributing,
and recording payments
• Secondary Mortgage Market: the active market for mortgages
after the mortgage has been originated
Chapter Summary (4 of 4)
• Securitization of Mortgages: growing in popularity, causing
mortgages to complete with both Treasury and corporate debt.
But also clearly a part of the problem in the Housing Bubble and
Financial Crisis of 2007–2009.
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