Notes & discounting · Mock exam
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Exam overview
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Calculation conventions
Use actual days/360 for notes and weeks/52 for the labeled Treasury-bill questions. Keep intermediate maturity values and discounts unrounded. Round final money to cents and annual rates to 0.01 percentage point. Effective rates on proceeds use simple annualization. No fees are included.
Questions in this exam
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01Who is the maker of a promissory note?
Concept
- Every person who witnesses the note
- The borrower who signs the promise to pay
- The calendar service determining maturity
- The company receiving payment only
02Who is the payee of a promissory note?
Concept
- Only the bank that later discounts it
- The borrower in every transaction
- The party to whom payment is promised
- The person counting the days
03What does the term of a note describe?
Concept
- The length of time until it is due
- The borrower's annual income
- The discount rate only
- The interest dollars only
04What is the maturity date?
Concept
- The date the note is due
- The date the payee first needs cash
- Always the discount date
- Always the issue date
05For a simple interest-bearing note, what is its maturity value?
Concept
- Face value less bank discount
- Interest alone
- Always the proceeds less principal
- Face value plus interest
06For a simple discount note, when is the bank discount withheld?
Concept
- Only after the borrower repays face value
- At the end of each compounding period
- Only after maturity
- At the start, before proceeds are paid
07Which formula calculates bank discount?
Concept
- B = M + DT
- B = M / (DT)
- B = MDT
- B = D / (MT)
08What are proceeds of a simple discount note?
Concept
- Only the interest charge
- Cash received after bank discount is deducted
- The amount due plus bank discount
- The annual stated rate
09For a simple discount note issued at a positive discount, which is largest?
Concept
- Maturity value
- All are equal
- Proceeds minus bank discount
- Proceeds
10What is repaid at maturity on a simple discount note?
Concept
- Its face value
- Its proceeds only
- Only the bank discount
- Face value plus the same discount again
11Why can a simple discount note cost interest even if called non-interest-bearing?
Concept
- The maker never receives money
- The payee adds a second face value
- Its interest charge can be deducted in advance
- Every such note compounds interest monthly
12Which denominator is used for the chapter's annualized effective rate on a discount note?
Concept
- Proceeds plus time
- Face value minus time
- Proceeds multiplied by time in years
- Face value multiplied by time in years
13For a positive discount with positive proceeds, how does the effective rate compare with the stated discount rate?
Concept
- It is lower
- It is always zero
- It is always equal
- It is higher
14For equal face values, rates, and terms, how do a simple-interest note's interest and a discount note's bank discount compare?
Concept
- The discount is always zero
- They cannot be compared
- They are equal dollar charges
- The interest is always twice the discount
15For equal face values, rates, and terms, which note initially provides more usable cash?
Concept
- Neither provides proceeds
- The simple-interest note
- They always provide equal cash
- The simple discount note
16Which formula gives proceeds directly from maturity value?
Concept
- Pr = M / (1 - DT)
- Pr = M(1 + DT)
- Pr = MDT
- Pr = M(1 - DT)
17Which formula finds the face value needed for desired proceeds?
Concept
- M = Pr / (1 - DT)
- M = Pr / (1 + DT)
- M = Pr - DT
- M = Pr(1 - DT)
18What must be true of 1 - DT for a standard discount note to provide positive proceeds?
Concept
- It must equal zero
- It must equal the number of days
- It must be negative
- It must be positive
19Which formula finds the bank discount rate from B, M, and T?
Concept
- D = M / (BT)
- D = BMT
- D = B / (MT)
- D = B / (M + T)
20Which formula finds the discount note's time in years?
Concept
- T = BMD
- T = B / (MD)
- T = M / (BD)
- T = B / (M - D)
21Which formula finds simple-interest principal from maturity value?
Concept
- P = M(1 + RT)
- P = M / (1 + RT)
- P = M / (1 - RT)
- P = M - R - T
22Which quantity equals the interest on a simple-interest note when M and P are known?
Concept
- M + P
- M - P
- M / P
- P - M
23What does a balloon payment mean in the chapter's one-payment note examples?
Concept
- The initial cash proceeds
- An automatic daily discount
- A single payment settling the note at maturity
- Equal weekly interest-only installments
24In the textbook model, how does a Treasury bill bought at a discount generate a return?
Concept
- It must pay monthly coupons
- Its face value is returned immediately
- It is redeemed for more than its purchase price
- Its purchase price always exceeds redemption value
25For the chapter's 13-week Treasury-bill example, what fraction of a year is used?
Concept
- 13/52
- 13/365
- 52/13
- 13/360
26For a Treasury bill bought at a discount, which amount is the investor's initial outlay?
Concept
- The future maturity date
- Only the discount
- The face value plus discount
- The purchase price, or proceeds
27What does it mean to discount an existing note?
Concept
- Erase the original interest rate
- Cancel the maker's repayment duty
- Extend it automatically for a year
- Sell it before maturity for cash
28Which amount is used as the bank's discount base when an interest-bearing note is sold?
Concept
- Only the accrued interest to sale date
- Only the seller's desired profit
- Only the original principal
- The original note's maturity value
29What is the discount period for a note sold before maturity?
Concept
- Time from issue to sale
- Time from the sale date to maturity
- The entire original term in every case
- The time after maturity
30What is the first step in discounting an interest-bearing note?
Concept
- Subtract the bank discount from original principal immediately
- Count only the seller's holding period
- Find the original note's interest and maturity value
- Change the maker's rate to the bank's rate
31Which rate is used to calculate the original note's maturity value?
Concept
- The original simple interest rate
- The effective rate of an unrelated Treasury bill
- The inflation rate
- The bank discount rate only
32Which rate is used to calculate the bank's charge when buying the note?
Concept
- The sum of both rates
- The original rate divided by the face value
- The bank discount rate
- Always the original note's interest rate
33After a note is discounted, how is the seller's cash receipt calculated?
Concept
- Maturity value plus bank discount
- Original principal minus original interest
- Maturity value minus bank discount
- Bank discount minus maturity value
34What is a contingent liability in the chapter's discounting arrangement?
Concept
- A potential duty of the seller to pay if the maker defaults
- The amount of cash already received
- A guaranteed extra profit for the seller
- An immediate cancellation of all debt
35If an existing non-interest-bearing note is sold to a bank, what is its maturity value?
Concept
- Zero
- Its face value
- Its proceeds less discount
- Its face value plus an unstated original interest charge
36With M and D fixed and positive, what happens to proceeds if the discount period gets longer?
Concept
- Proceeds become the original interest rate
- Proceeds stay unchanged
- Proceeds decrease
- Proceeds increase
37With M and T fixed and positive, what happens to proceeds if the bank discount rate rises?
Concept
- The face value becomes zero
- Proceeds increase
- Proceeds double automatically
- Proceeds decrease
38Why can a seller's proceeds from an interest-bearing note exceed the original principal?
Concept
- Original interest can exceed the bank's discount
- The discount period must be longer than the original term
- The bank always waives all charges
- The face value must double
39In a positive-rate simple-interest note with no fees, how does the annualized effective rate compare with its stated simple rate?
Concept
- They are equal under the same time basis
- Effective rate is always higher
- Effective rate is always lower
- Effective rate is necessarily zero
40Why must the original term and discount period be kept separate when a note is sold?
Concept
- Only the longer one can be used for every calculation
- Neither affects the proceeds
- They are always the same duration
- They apply to different calculations and waiting periods
41A simple discount note has face value $6,000.00, annual discount rate 6.00%, and term 90 days. Find the bank discount.
Calculation
- $90.00
- $360.00
- $5,910.00
- $88.77
42A simple discount note has face value $12,500.00, annual discount rate 7.50%, and term 120 days. Find the bank discount.
Calculation
- $937.50
- $312.50
- $308.22
- $12,187.50
43A simple discount note has face value $18,000.00, annual discount rate 8.00%, and term 150 days. Find the bank discount.
Calculation
- $591.78
- $600.00
- $1,440.00
- $17,400.00
44A simple discount note has face value $8,400.00, annual discount rate 9.50%, and term 75 days. Find the bank discount.
Calculation
- $798.00
- $8,233.75
- $166.25
- $163.97
45A simple discount note has face value $25,000.00, annual discount rate 5.40%, and term 200 days. Find the bank discount.
Calculation
- $750.00
- $1,350.00
- $739.73
- $24,250.00
46How much cash is received from a $7,300.00 simple discount note at 6.00% for 90 days?
Calculation
- $7,190.50
- $7,300.00
- $109.50
- $7,409.50
47How much cash is received from a $13,800.00 simple discount note at 7.50% for 120 days?
Calculation
- $345.00
- $13,800.00
- $13,455.00
- $14,145.00
48How much cash is received from a $19,300.00 simple discount note at 8.00% for 150 days?
Calculation
- $18,656.67
- $19,943.33
- $19,300.00
- $643.33
49How much cash is received from a $9,700.00 simple discount note at 9.50% for 75 days?
Calculation
- $9,891.98
- $191.98
- $9,508.02
- $9,700.00
50How much cash is received from a $26,300.00 simple discount note at 5.40% for 200 days?
Calculation
- $27,089.00
- $789.00
- $25,511.00
- $26,300.00
51A $6,000.00 simple discount note is discounted at 6.00% for 90 days. Find its annualized effective rate on proceeds.
Calculation
- 5.91%
- 6.09%
- 1.50%
- 6.00%
52A $12,500.00 simple discount note is discounted at 7.50% for 120 days. Find its annualized effective rate on proceeds.
Calculation
- 7.50%
- 7.69%
- 2.50%
- 7.32%
53A $18,000.00 simple discount note is discounted at 8.00% for 150 days. Find its annualized effective rate on proceeds.
Calculation
- 7.74%
- 8.28%
- 3.33%
- 8.00%
54A $8,400.00 simple discount note is discounted at 9.50% for 75 days. Find its annualized effective rate on proceeds.
Calculation
- 1.98%
- 9.50%
- 9.69%
- 9.32%
55A $25,000.00 simple discount note is discounted at 5.40% for 200 days. Find its annualized effective rate on proceeds.
Calculation
- 3.00%
- 5.57%
- 5.24%
- 5.40%
56A business needs net proceeds of $5,000.00. What face value should a simple discount note have at 6.00% for 90 days? Report the computed face value to the nearest cent.
Calculation
- $5,076.14
- $4,926.11
- $5,075.00
- $5,000.00
57A business needs net proceeds of $9,000.00. What face value should a simple discount note have at 7.50% for 120 days? Report the computed face value to the nearest cent.
Calculation
- $9,230.77
- $9,000.00
- $9,225.00
- $8,780.49
58A business needs net proceeds of $14,500.00. What face value should a simple discount note have at 8.00% for 150 days? Report the computed face value to the nearest cent.
Calculation
- $14,983.33
- $14,032.26
- $15,000.00
- $14,500.00
59A business needs net proceeds of $7,500.00. What face value should a simple discount note have at 9.50% for 75 days? Report the computed face value to the nearest cent.
Calculation
- $7,651.43
- $7,500.00
- $7,648.44
- $7,354.44
60A business needs net proceeds of $22,000.00. What face value should a simple discount note have at 5.40% for 200 days? Report the computed face value to the nearest cent.
Calculation
- $22,000.00
- $22,680.41
- $22,660.00
- $21,359.22
61A $6,000.00 simple discount note for 90 days has a bank discount of $90.00. Find its annual bank discount rate.
Calculation
- 72.00%
- 1.50%
- 6.09%
- 6.00%
62A $12,500.00 simple discount note for 120 days has a bank discount of $312.50. Find its annual bank discount rate.
Calculation
- 7.69%
- 2.50%
- 90.00%
- 7.50%
63A $18,000.00 simple discount note for 150 days has a bank discount of $600.00. Find its annual bank discount rate.
Calculation
- 96.00%
- 3.33%
- 8.00%
- 8.28%
64A $8,400.00 simple discount note for 75 days has a bank discount of $166.25. Find its annual bank discount rate.
Calculation
- 114.00%
- 9.50%
- 9.69%
- 1.98%
65A $25,000.00 simple discount note for 200 days has a bank discount of $750.00. Find its annual bank discount rate.
Calculation
- 64.80%
- 3.00%
- 5.57%
- 5.40%
66A simple discount note has face value $6,000.00, discount rate 6.00%, and bank discount $76.00. Find its term in days; round any fractional day UP.
Calculation
- 81 days
- 78 days
- 86 days
- 76 days
67A simple discount note has face value $12,500.00, discount rate 7.50%, and bank discount $167.00. Find its term in days; round any fractional day UP.
Calculation
- 67 days
- 65 days
- 66 days
- 64 days
68A simple discount note has face value $18,000.00, discount rate 8.00%, and bank discount $259.00. Find its term in days; round any fractional day UP.
Calculation
- 67 days
- 64 days
- 65 days
- 66 days
69A simple discount note has face value $8,400.00, discount rate 9.50%, and bank discount $145.00. Find its term in days; round any fractional day UP.
Calculation
- 65 days
- 67 days
- 68 days
- 66 days
70A simple discount note has face value $25,000.00, discount rate 5.40%, and bank discount $612.00. Find its term in days; round any fractional day UP.
Calculation
- 166 days
- 163 days
- 175 days
- 164 days
71A 120-day simple-interest note at 6.00% is settled by a balloon payment of $5,100.00. Find its original principal.
Calculation
- $5,000.00
- $4,998.00
- $100.00
- $5,100.00
72A 90-day simple-interest note at 8.00% is settled by a balloon payment of $7,344.00. Find its original principal.
Calculation
- $7,197.12
- $7,344.00
- $7,200.00
- $144.00
73A 160-day simple-interest note at 7.50% is settled by a balloon payment of $12,400.00. Find its original principal.
Calculation
- $400.00
- $12,000.00
- $11,986.67
- $12,400.00
74A 180-day simple-interest note at 4.50% is settled by a balloon payment of $16,360.00. Find its original principal.
Calculation
- $16,360.00
- $360.00
- $15,991.90
- $16,000.00
75A 100-day simple-interest note at 9.00% is settled by a balloon payment of $9,635.00. Find its original principal.
Calculation
- $235.00
- $9,635.00
- $9,394.13
- $9,400.00
76A simple-interest note with principal $7,400.00 matures for $7,548.00 after 120 days. What annual interest rate does it carry?
Calculation
- 5.88%
- 0.50%
- 2.00%
- 6.00%
77A simple-interest note with principal $9,600.00 matures for $9,792.00 after 90 days. What annual interest rate does it carry?
Calculation
- 7.84%
- 8.00%
- 2.00%
- 0.67%
78A simple-interest note with principal $14,400.00 matures for $14,880.00 after 160 days. What annual interest rate does it carry?
Calculation
- 7.50%
- 3.33%
- 0.62%
- 7.26%
79A simple-interest note with principal $18,400.00 matures for $18,814.00 after 180 days. What annual interest rate does it carry?
Calculation
- 4.50%
- 0.38%
- 2.25%
- 4.40%
80A simple-interest note with principal $11,800.00 matures for $12,095.00 after 100 days. What annual interest rate does it carry?
Calculation
- 9.00%
- 8.78%
- 0.75%
- 2.50%
81A simple-interest note for $8,600.00 at 6.00% matures for $8,772.00. Find the term in ordinary-interest days.
Calculation
- 119 days
- 10 days
- 121 days
- 120 days
82A simple-interest note for $10,800.00 at 8.00% matures for $11,016.00. Find the term in ordinary-interest days.
Calculation
- 89 days
- 90 days
- 91 days
- 7.5 days
83A simple-interest note for $15,600.00 at 7.50% matures for $16,120.00. Find the term in ordinary-interest days.
Calculation
- 13.3333 days
- 160 days
- 159 days
- 161 days
84A simple-interest note for $19,600.00 at 4.50% matures for $20,041.00. Find the term in ordinary-interest days.
Calculation
- 181 days
- 179 days
- 180 days
- 15 days
85A simple-interest note for $13,000.00 at 9.00% matures for $13,325.00. Find the term in ordinary-interest days.
Calculation
- 99 days
- 101 days
- 100 days
- 8.33333 days
86A hypothetical $10,000.00 Treasury bill has a 5.20% annual discount rate and a 13-week term. Use T = weeks/52. What is its purchase price?
Calculation
- $10,000.00
- $10,130.00
- $130.00
- $9,870.00
87A hypothetical $20,000.00 Treasury bill has a 6.50% annual discount rate and a 26-week term. Use T = weeks/52. What is its purchase price?
Calculation
- $20,000.00
- $20,650.00
- $650.00
- $19,350.00
88A hypothetical $15,000.00 Treasury bill has a 4.80% annual discount rate and a 4-week term. Use T = weeks/52. What is its purchase price?
Calculation
- $15,055.38
- $14,944.62
- $55.38
- $15,000.00
89A hypothetical $25,000.00 Treasury bill has a 7.40% annual discount rate and a 13-week term. Use T = weeks/52. What is its purchase price?
Calculation
- $25,000.00
- $25,462.50
- $24,537.50
- $462.50
90A hypothetical $5,000.00 Treasury bill has a 6.00% annual discount rate and a 26-week term. Use T = weeks/52. What is its purchase price?
Calculation
- $4,850.00
- $5,000.00
- $5,150.00
- $150.00
91A hypothetical $10,000.00 Treasury bill is offered at a 5.20% discount rate for 13 weeks. Using weeks/52, find its annualized effective yield on the purchase price.
Calculation
- 1.30%
- 5.20%
- 5.13%
- 5.27%
92A hypothetical $20,000.00 Treasury bill is offered at a 6.50% discount rate for 26 weeks. Using weeks/52, find its annualized effective yield on the purchase price.
Calculation
- 3.25%
- 6.50%
- 6.30%
- 6.72%
93A hypothetical $15,000.00 Treasury bill is offered at a 4.80% discount rate for 4 weeks. Using weeks/52, find its annualized effective yield on the purchase price.
Calculation
- 4.82%
- 4.78%
- 4.80%
- 0.37%
94A hypothetical $25,000.00 Treasury bill is offered at a 7.40% discount rate for 13 weeks. Using weeks/52, find its annualized effective yield on the purchase price.
Calculation
- 7.40%
- 1.85%
- 7.27%
- 7.54%
95A hypothetical $5,000.00 Treasury bill is offered at a 6.00% discount rate for 26 weeks. Using weeks/52, find its annualized effective yield on the purchase price.
Calculation
- 6.00%
- 5.83%
- 6.19%
- 3.00%
96A 150-day note dated February 12, 2025 is sold to a bank on April 16, 2025. How many days are in the bank discount period?
Calculation
- 150 days
- 88 days
- 63 days
- 87 days
97A 180-day note dated May 03, 2024 is sold to a bank on August 03, 2024. How many days are in the bank discount period?
Calculation
- 92 days
- 88 days
- 89 days
- 180 days
98A 120-day note dated October 07, 2025 is sold to a bank on November 17, 2025. How many days are in the bank discount period?
Calculation
- 79 days
- 120 days
- 41 days
- 80 days
99A 210-day note dated January 15, 2026 is sold to a bank on May 12, 2026. How many days are in the bank discount period?
Calculation
- 117 days
- 210 days
- 93 days
- 94 days
100A 160-day note dated November 19, 2024 is sold to a bank on February 01, 2025. How many days are in the bank discount period?
Calculation
- 87 days
- 86 days
- 74 days
- 160 days
101A $8,000.00, 120-day note bears 6.00% simple interest. It is sold after 45 days to a bank charging 8.00% discount. What is the bank discount?
Calculation
- $217.60
- $160.00
- $133.33
- $136.00
102A $12,500.00, 180-day note bears 7.50% simple interest. It is sold after 100 days to a bank charging 6.50% discount. What is the bank discount?
Calculation
- $468.75
- $180.56
- $421.48
- $187.33
103A $24,000.00, 150-day note bears 9.00% simple interest. It is sold after 90 days to a bank charging 9.50% discount. What is the bank discount?
Calculation
- $900.00
- $985.63
- $394.25
- $380.00
104A $15,000.00, 210-day note bears 5.50% simple interest. It is sold after 135 days to a bank charging 7.00% discount. What is the bank discount?
Calculation
- $225.77
- $218.75
- $632.15
- $481.25
105A $32,000.00, 240-day note bears 8.00% simple interest. It is sold after 150 days to a bank charging 9.00% discount. What is the bank discount?
Calculation
- $758.40
- $2,022.40
- $720.00
- $1,706.67
106A $9,200.00, 120-day note bears 6.00% simple interest. It is sold after 45 days to a bank charging 8.00% discount. What are the seller's proceeds?
Calculation
- $9,384.00
- $9,227.60
- $9,133.76
- $9,043.60
107A $13,700.00, 180-day note bears 7.50% simple interest. It is sold after 100 days to a bank charging 6.50% discount. What are the seller's proceeds?
Calculation
- $13,751.80
- $14,008.44
- $13,494.69
- $14,213.75
108A $25,200.00, 150-day note bears 9.00% simple interest. It is sold after 90 days to a bank charging 9.50% discount. What are the seller's proceeds?
Calculation
- $26,145.00
- $24,786.04
- $25,731.04
- $25,110.09
109A $16,200.00, 210-day note bears 5.50% simple interest. It is sold after 135 days to a bank charging 7.00% discount. What are the seller's proceeds?
Calculation
- $16,475.92
- $16,719.75
- $16,037.03
- $15,956.17
110A $33,200.00, 240-day note bears 8.00% simple interest. It is sold after 150 days to a bank charging 9.00% discount. What are the seller's proceeds?
Calculation
- $34,970.67
- $34,183.83
- $32,872.43
- $32,413.16
111A $10,400.00, 120-day note bears 6.00% simple interest. It is sold after 45 days to a bank charging 8.00% discount. What is the seller's gain above the original principal?
Calculation
- $176.80
- $10,431.20
- $208.00
- $31.20
112A $14,900.00, 180-day note bears 7.50% simple interest. It is sold after 100 days to a bank charging 6.50% discount. What is the seller's gain above the original principal?
Calculation
- $15,235.46
- $558.75
- $335.46
- $223.29
113A $26,400.00, 150-day note bears 9.00% simple interest. It is sold after 90 days to a bank charging 9.50% discount. What is the seller's gain above the original principal?
Calculation
- $556.33
- $990.00
- $433.68
- $26,956.33
114A $17,400.00, 210-day note bears 5.50% simple interest. It is sold after 135 days to a bank charging 7.00% discount. What is the seller's gain above the original principal?
Calculation
- $261.89
- $17,696.36
- $296.36
- $558.25
115A $34,400.00, 240-day note bears 8.00% simple interest. It is sold after 150 days to a bank charging 9.00% discount. What is the seller's gain above the original principal?
Calculation
- $1,019.39
- $35,419.39
- $1,834.67
- $815.28
116A non-interest-bearing note for $11,600.00 is sold with 75 days remaining until maturity. The bank uses a 8.00% discount rate. What proceeds does the seller receive?
Calculation
- $11,793.33
- $11,406.67
- $11,600.00
- $193.33
117A non-interest-bearing note for $16,100.00 is sold with 80 days remaining until maturity. The bank uses a 6.50% discount rate. What proceeds does the seller receive?
Calculation
- $232.56
- $15,867.44
- $16,100.00
- $16,332.56
118A non-interest-bearing note for $27,600.00 is sold with 60 days remaining until maturity. The bank uses a 9.50% discount rate. What proceeds does the seller receive?
Calculation
- $28,037.00
- $27,163.00
- $437.00
- $27,600.00
119A non-interest-bearing note for $18,600.00 is sold with 75 days remaining until maturity. The bank uses a 7.00% discount rate. What proceeds does the seller receive?
Calculation
- $18,328.75
- $271.25
- $18,871.25
- $18,600.00
120A non-interest-bearing note for $35,600.00 is sold with 90 days remaining until maturity. The bank uses a 9.00% discount rate. What proceeds does the seller receive?
Calculation
- $35,600.00
- $801.00
- $36,401.00
- $34,799.00