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Notes & discounting · Key concepts

Understand promissory notes, bank discounts, proceeds, and effective rates.
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01Who is the maker of a promissory note?

The borrower who signs the promise to pay

The maker issues the note and owes the promised payment.

Slater, Ch. 17, pp. 450
02Who is the payee of a promissory note?

The party to whom payment is promised

The original payee extends credit and is entitled to receive payment under the note.

Slater, Ch. 17, pp. 450
03What does the term of a note describe?

The length of time until it is due

The term measures the note's duration from issue to maturity.

Slater, Ch. 17, pp. 450
04What is the maturity date?

The date the note is due

The maturity date is when the promised payment must be made.

Slater, Ch. 17, pp. 450
05For a simple interest-bearing note, what is its maturity value?

Face value plus interest

Interest is added to the face value for the borrower's final payment.

Slater, Ch. 17, pp. 450-451
06For a simple discount note, when is the bank discount withheld?

At the start, before proceeds are paid

The charge is deducted in advance, so cash received is below face value.

Slater, Ch. 17, pp. 451-452
07Which formula calculates bank discount?

B = MDT

Use maturity value M, bank discount rate D, and time T in years.

Slater, Ch. 17, pp. 451
08What are proceeds of a simple discount note?

Cash received after bank discount is deducted

Proceeds are the usable funds received: Pr = M - B.

Slater, Ch. 17, pp. 451-452
09For a simple discount note issued at a positive discount, which is largest?

Maturity value

Maturity value equals proceeds plus the positive bank discount.

Slater, Ch. 17, pp. 451-452
10What is repaid at maturity on a simple discount note?

Its face value

The face value already represents the amount promised at maturity.

Slater, Ch. 17, pp. 451-452
11Why can a simple discount note cost interest even if called non-interest-bearing?

Its interest charge can be deducted in advance

The terminology does not mean zero borrowing cost when a bank discount is withheld.

Slater, Ch. 17, pp. 451
12Which denominator is used for the chapter's annualized effective rate on a discount note?

Proceeds multiplied by time in years

The effective cost is measured against usable cash received, not the larger amount repaid.

Slater, Ch. 17, pp. 451-453
13For a positive discount with positive proceeds, how does the effective rate compare with the stated discount rate?

It is higher

The same charge is spread over a smaller proceeds base, so the effective rate is higher.

Slater, Ch. 17, pp. 451-452
14For equal face values, rates, and terms, how do a simple-interest note's interest and a discount note's bank discount compare?

They are equal dollar charges

Both charges multiply the same face amount, rate, and time, although cash received and repaid differ.

Slater, Ch. 17, pp. 451-452
15For equal face values, rates, and terms, which note initially provides more usable cash?

The simple-interest note

The simple-interest borrower receives face value; the discount borrower receives face value less discount.

Slater, Ch. 17, pp. 451-452
16Which formula gives proceeds directly from maturity value?

Pr = M(1 - DT)

Factor M out of M - MDT to obtain proceeds.

Slater, Ch. 17, pp. 456
17Which formula finds the face value needed for desired proceeds?

M = Pr / (1 - DT)

Solve Pr = M(1 - DT) for M; the needed face value exceeds desired proceeds for positive discount.

Slater, Ch. 17, pp. 457
18What must be true of 1 - DT for a standard discount note to provide positive proceeds?

It must be positive

Positive M multiplied by a positive factor is required for positive proceeds.

Slater, Ch. 17, pp. 456-457
19Which formula finds the bank discount rate from B, M, and T?

D = B / (MT)

Rearrange B = MDT by dividing by MT.

Slater, Ch. 17, pp. 456
20Which formula finds the discount note's time in years?

T = B / (MD)

Divide bank discount by maturity value times the annual discount rate.

Slater, Ch. 17, pp. 457
21Which formula finds simple-interest principal from maturity value?

P = M / (1 + RT)

A simple-interest maturity value equals P(1 + RT), so its growth factor is in the denominator.

Slater, Ch. 17, pp. 454-455
22Which quantity equals the interest on a simple-interest note when M and P are known?

M - P

Maturity value contains both principal and interest.

Slater, Ch. 17, pp. 455
23What does a balloon payment mean in the chapter's one-payment note examples?

A single payment settling the note at maturity

The examples use one final payment that contains the amount needed to settle the note.

Slater, Ch. 17, pp. 454
24In the textbook model, how does a Treasury bill bought at a discount generate a return?

It is redeemed for more than its purchase price

The discount is the difference between the purchase price and the amount received at maturity.

Slater, Ch. 17, pp. 452-453
25For the chapter's 13-week Treasury-bill example, what fraction of a year is used?

13/52

The example measures a term stated in weeks using weeks divided by 52; this set explicitly labels that convention.

Slater, Ch. 17, pp. 453
26For a Treasury bill bought at a discount, which amount is the investor's initial outlay?

The purchase price, or proceeds

The investor pays the discounted price and later receives face value.

Slater, Ch. 17, pp. 452-453
27What does it mean to discount an existing note?

Sell it before maturity for cash

The payee exchanges the future payment claim for current proceeds from a bank.

Slater, Ch. 17, pp. 458
28Which amount is used as the bank's discount base when an interest-bearing note is sold?

The original note's maturity value

First calculate the complete maturity value; the bank discounts the payment it will collect.

Slater, Ch. 17, pp. 458-459
29What is the discount period for a note sold before maturity?

Time from the sale date to maturity

The bank's charge covers the remaining waiting time until the note comes due.

Slater, Ch. 17, pp. 458-460
30What is the first step in discounting an interest-bearing note?

Find the original note's interest and maturity value

The bank's charge must be based on the complete amount due at maturity.

Slater, Ch. 17, pp. 458
31Which rate is used to calculate the original note's maturity value?

The original simple interest rate

The maker's original promise determines the interest added to the note's principal.

Slater, Ch. 17, pp. 458-459
32Which rate is used to calculate the bank's charge when buying the note?

The bank discount rate

The bank applies its own discount rate to maturity value for the remaining term.

Slater, Ch. 17, pp. 458-459
33After a note is discounted, how is the seller's cash receipt calculated?

Maturity value minus bank discount

The bank retains its charge and pays the rest to the seller.

Slater, Ch. 17, pp. 458-459
34What is a contingent liability in the chapter's discounting arrangement?

A potential duty of the seller to pay if the maker defaults

The arrangement described leaves the seller potentially responsible if the maker does not pay.

Slater, Ch. 17, pp. 458
35If an existing non-interest-bearing note is sold to a bank, what is its maturity value?

Its face value

No original interest is added, although the bank may still deduct a discount when purchasing it.

Slater, Ch. 17, pp. 460
36With M and D fixed and positive, what happens to proceeds if the discount period gets longer?

Proceeds decrease

B = MDT increases with time, so M - B decreases.

Slater, Ch. 17, pp. 451, 456
37With M and T fixed and positive, what happens to proceeds if the bank discount rate rises?

Proceeds decrease

A higher discount rate increases the bank's deduction.

Slater, Ch. 17, pp. 451, 456
38Why can a seller's proceeds from an interest-bearing note exceed the original principal?

Original interest can exceed the bank's discount

Proceeds - principal equals original interest minus bank discount.

Slater, Ch. 17, pp. 458-459
39In a positive-rate simple-interest note with no fees, how does the annualized effective rate compare with its stated simple rate?

They are equal under the same time basis

The borrower receives the full principal, so I / (P x T) recovers the stated rate.

Slater, Ch. 17, pp. 451-452
40Why must the original term and discount period be kept separate when a note is sold?

They apply to different calculations and waiting periods

Use the full term for original interest and only the remaining term for the bank discount.

Slater, Ch. 17, pp. 458-460

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