MT483 · Unit 7

MT483 Unit 7 bond pricing exercise example

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Twenty composite corporate notes with a 5 percent coupon and seven years left would cost Kevin Brooks 19,512.90 dollars before any markup in the MT483 Unit 7 exercise shown, and only 19,312.90 of that is the quoted price; the rest repays the seller for interest already earned. Priced first at a 5.60 percent yield, the note is then tested for how far a one-point rate change moves it.

What this page holds

Price, accrued interest, a dealer markup and after-tax yield for one composite note bought by an individual make up the Unit 7 bond pricing exercise from MT483. Searches like "mt 483 unit 7 assignment example", "mt483 unit 7 sample" and "mt483 unit 7 example" land here.

What a finished MT483 Unit 7 bond pricing exercise looks like

The exercise runs to five parts across roughly four pages. It begins by pricing a 1,000-dollar note paying 25 dollars every six months for seven years at a 5.60 percent market yield: 965.65, with a current yield of 5.18 percent. Part two adds 72 days of accrued interest on a 30/360 count, 10.00 per note, so twenty notes invoice at 19,512.90. Part three shows a markup of three-quarters of a point lifting the price to 973.15 and cutting the yield Kevin actually earns to 5.47 percent. Part four computes a Macaulay duration of 5.97 years and a modified duration of 5.81, then reprices a point either way: 911.45, down 5.61 percent, or 1,023.71, up 6.01. Part five compares after-tax yields with a bracketed [4.60] percent Treasury.

How a MT483 Unit 7 example is structured

The exercise follows the order in which an individual buyer meets each number. The clean price comes first, with coupon and principal valued separately and semiannual discounting stated. Accrued interest follows because it is the first surprise on a confirmation: the buyer pays the seller for interest earned since the last coupon and gets it back on the next payment date. The markup section reverses the pricing, solving for the yield at the price actually paid, which shows that a small-looking charge costs about 13 basis points a year for seven years. Sensitivity comes next, with the duration estimate checked against full repricing and the asymmetry explained. The tax section closes the exercise: Treasury interest escapes state tax, so at a 22 percent federal and 5 percent state rate the corporate note's 4.09 percent after tax compares with 3.59 on the Treasury.

Clean price at 5.60 percent

Fourteen coupons of 25 dollars and a 1,000-dollar principal, discounted semiannually to 965.65 per note.

Interest owed to the seller

Seventy-two days on a 30/360 count adds 10.00 per note, lifting twenty notes to 19,512.90 on the confirmation.

Three-quarters of a point

A 973.15 marked-up price lowers the yield Kevin earns from 5.60 to 5.47 percent for the life of the note.

A point either way

Modified duration of 5.81 predicts a symmetric move; repricing gives a 5.61 percent fall against a 6.01 percent rise.

After both tax bills

The corporate note keeps 4.09 percent after federal and state tax, and a Treasury exempt from state tax keeps 3.59.

Where marks go in MT483 Unit 7

Exercises that stop at the clean price ignore what the investor actually pays, and graders commonly look for accrued interest carried into the invoice amount. Annual discounting of a semiannual coupon is a frequent slip that moves the price by a few dollars. Markups tend to vanish from these exercises or get treated as a fee separate from yield; solving for the yield at the marked-up price shows its real cost. Duration figures reported without a check against repricing miss the asymmetry between a rise and a fall. After-tax comparisons draw comment when state tax treatment is ignored, since Treasury interest is exempt from it and corporate interest is not. Tax rates should be labeled as assumptions for the composite investor. Telling any real reader to buy the note, rather than analyzing it, moves outside the exercise.

Get a MT483 Unit 7 example written to your instructions

Unit 7 prompts may supply a coupon, maturity and yield, or a quoted price to solve backward from. Pass along whichever yours gives, rubric included, and a first MT483 exercise comes back at no cost within 24-48h: price, accrued interest, sensitivity and after-tax yield each worked in full, with conventions stated.

MT483 Unit 7 questions, answered

Why does the invoice price differ from the quoted price?

Bonds are quoted clean, without accrued interest, and settled dirty, with it. The buyer compensates the seller for interest earned since the last coupon date and receives the full coupon on the next payment. Showing both figures, and the day count used, is what graders expect when a prompt mentions settlement or purchase cost.

How do I find the markup on a bond purchase?

For many trades, broker confirmations must disclose the markup or markdown, and FINRA's TRACE data shows recent trade prices for comparison. In an exercise the markup is usually given or assumed. Convert it into yield by solving for the rate at the price paid, since a markup stated in points understates its effect over the bond's life.

Should the exercise compare the note with a bond fund?

If the prompt asks, briefly. An individual note returns its principal at maturity if the issuer pays, while a bond fund has no maturity and its price moves with rates indefinitely. Both carry rate risk; they differ in how it reaches the investor. A short paragraph on that difference strengthens the sensitivity section.