Series 7 Government and Agency Securities Practice Questions
Question 1
A Treasury bond is quoted at 98:16. What is the dollar price of one $1,000 face-value bond at this quote?
- A. $985.00
- B. $980.16
- C. $981.60
- D. $998.16
Show answer and explanation
Correct answer: A. $985.00
Treasury notes and bonds are quoted in 32nds of a point, not decimal cents. 98:16 means 98 and 16/32, and 16/32 = 0.50, so the quote equals 98.50% of par. On a $1,000 bond, that's $985.00.
- A. Treasury prices are quoted in 32nds of a point; 16/32 = 0.50, so 98:16 equals 98.5% of par, or $985.00.
- B. This treats the quote as decimal cents rather than 32nds, which misreads how Treasury prices are quoted.
- C. This miscalculates 16/32 as if it were 1.6%, producing an incorrect dollar price.
- D. This misplaces the fractional portion of the quote, giving a price far too close to par.
Question 2
An investor holds a 10-year U.S. Treasury note with a stated 3% coupon rate. How is the interest on this note typically paid?
- A. As a single lump sum at maturity
- B. Annually, adjusted for inflation each year
- C. Monthly, based on prevailing short-term rates
- D. Semiannually, in fixed coupon payments
Show answer and explanation
Correct answer: D. Semiannually, in fixed coupon payments
Treasury notes and bonds are coupon-bearing instruments that pay fixed interest semiannually over the life of the security, distinct from T-bills (no coupon, discount only) and TIPS (principal adjusts for inflation, interest still paid semiannually but on the adjusted principal).
- A. A lump-sum payment at maturity describes a zero-coupon instrument or T-bill, not a coupon-bearing Treasury note.
- B. Annual, inflation-adjusted payments describe how TIPS principal is adjusted (with coupon paid on the adjusted principal), not a standard fixed-coupon Treasury note.
- C. Monthly payments tied to short-term rates describe a floating-rate note, not a fixed 3% coupon Treasury note.
- D. Treasury notes pay a fixed coupon rate in equal semiannual installments over the life of the security, which is standard for this instrument.
Question 3
Which of the following government agency or government-sponsored enterprise (GSE) securities is backed by the direct full faith and credit of the U.S. government?
- A. Federal National Mortgage Association (FNMA/Fannie Mae) certificates
- B. Federal Home Loan Mortgage Corporation (FHLMC/Freddie Mac) certificates
- C. Government National Mortgage Association (GNMA/Ginnie Mae) certificates
- D. Federal Farm Credit Bank (FFCB) discount notes
Show answer and explanation
Correct answer: C. Government National Mortgage Association (GNMA/Ginnie Mae) certificates
GNMA is a wholly owned government corporation within HUD, and its pass-through certificates are the only mortgage-backed securities directly backed by the full faith and credit of the US government. FNMA and FHLMC are government-sponsored enterprises (GSEs) — privately owned (historically) and, while systemically important, their obligations carry only an implicit, not direct, government guarantee. FFCB and similar federal agency issuers are also GSE-type entities without the direct guarantee.
- A. FNMA (Fannie Mae) is a government-sponsored enterprise, not backed by the full faith and credit of the U.S. government.
- B. FHLMC (Freddie Mac) is also a GSE without the direct full faith and credit guarantee.
- C. Correct. GNMA (Ginnie Mae) is a government agency, not merely a GSE, and its securities carry the direct full faith and credit backing of the U.S. government.
- D. FFCB is a GSE whose securities are not backed by the direct full faith and credit of the U.S. government.
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A newly issued 13-week (91-day) Treasury bill with a $10,000 face value is auctioned at a 4% discount rate, calculated on a 360-day year. What is the approximate purchase price?
- A. $9,898.89
- B. $9,600.00
- C. $9,900.27
- D. $10,101.11
Show answer and explanation
Correct answer: A. $9,898.89
Discount amount = Face x Rate x (Days/360) = $10,000 x 0.04 x (91/360) = $10,000 x 0.04 x 0.25278 = $101.11. Purchase price = Face - Discount = $10,000 - $101.11 = $9,898.89.
- A. Discount = $10,000 × 0.04 × (91/360) ≈ $101.11, so the purchase price is $10,000 − $101.11 ≈ $9,898.89.
- B. $9,600.00 overstates the discount as if it applied the 4% rate without properly adjusting for the 91-day holding period over a 360-day year.
- C. $9,900.27 is close but reflects a slightly miscalculated day-count adjustment rather than the correct 91/360 fraction.
- D. $10,101.11 incorrectly adds the discount amount to face value instead of subtracting it from face value.