With answers from 54 AI models.
หุ้นกู้อนุพันธ์ทีจ่ายผลตอบแทนอ้างอิงกับดอกเบียในตลาดเงิน(interest rate-linked notes) มูลค่า 1000 บาทอายุ 1 ปี จ่ายผลตอบแทนปีละครัง โดยมีเงือนไขชําระหนีเมือครบกําหนดอายุสัญญา คือ จํานวนเงินทีได้รับชําระคืน = มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1% (10% - MLR เฉลีย) ] } ตัวเลือกใดแสดงจํานวนเงินทีจะได้รับชําระคืน เมือหุ้นกู้อนุพันธ์ครบกําหนดอายุสัญญาได้ถูกต้อง
Using dataset from ThaiExam Dataset.
Let's solve this step by step:
The repayment formula is: Amount = Face Value + {Face Value × [max(1%, (10% - MLR average))]} Face Value = 1000 baht
Let's check each option:
For option D (MLR = 12%): 10% - 12% = -2% max(1%, -2%) = 1% Amount = 1000 + (1000 × 1%) = 1000 + 10 = 1010 baht
This matches option D, and it's the correct calculation. When MLR is higher than 10%, the formula uses the minimum 1% return. The other options don't follow the correct calculation pattern.
{"correct_answer_key":"d"}
This question is about an interest rate-linked note with a face value of 1,000 baht and a 1-year term. The repayment formula is:
Amount received = Face value + {Face value × [max(1%, (10% - average MLR))]}
Let's calculate each option:
a) If average MLR = 5%: Amount = 1,000 + {1,000 × [max(1%, (10% - 5%))]} = 1,000 + {1,000 × [max(1%, 5%)]} = 1,000 + {1,000 × 5%} = 1,000 + 50 = 1,050 baht (not 1,060)
b) If average MLR = 6%: Amount = 1,000 + {1,000 × [max(1%, (10% - 6%))]} = 1,000 + {1,000 × [max(1%, 4%)]} = 1,000 + {1,000 × 4%} = 1,000 + 40 = 1,040 baht (not 1,060)
c) If average MLR = 11%: Amount = 1,000 + {1,000 × [max(1%, (10% - 11%))]} = 1,000 + {1,000 × [max(1%, -1%)]} = 1,000 + {1,000 × 1%} = 1,000 + 10 = 1,010 baht (not 1,110)
d) If average MLR = 12%: Amount = 1,000 + {1,000 × [max(1%, (10% - 12%))]} = 1,000 + {1,000 × [max(1%, -2%)]} = 1,000 + {1,000 × 1%} = 1,000 + 10 = 1,010 baht
Option D is the only correct calculation.
{"correct_answer_key":"d"}
Let me understand the question about the interest rate-linked note.
The note has a face value of 1,000 Baht with a 1-year term.
The repayment formula is: Repayment Amount = Face Value + { Face Value x [max(1%, (10% - average MLR)) ] }
Let's analyze each option to find the correct answer:
a) If average MLR = 5%: Repayment Amount = 1,000 + {1,000 x [max(1%, (10% - 5%))]} = 1,000 + {1,000 x [max(1%, 5%)]} = 1,000 + {1,000 x 5%} = 1,000 + 50 = 1,050 Baht
The option states 1,060 Baht, which is incorrect.
b) If average MLR = 6%: Repayment Amount = 1,000 + {1,000 x [max(1%, (10% - 6%))]} = 1,000 + {1,000 x [max(1%, 4%)]} = 1,000 + {1,000 x 4%} = 1,000 + 40 = 1,040 Baht
The option states 1,060 Baht, which is incorrect.
c) If average MLR = 11%: Repayment Amount = 1,000 + {1,000 x [max(1%, (10% - 11%))]} = 1,000 + {1,000 x [max(1%, -1%)]} = 1,000 + {1,000 x 1%} = 1,000 + 10 = 1,010 Baht
The option states 1,110 Baht, which is incorrect.
d) If average MLR = 12%: Repayment Amount = 1,000 + {1,000 x [max(1%, (10% - 12%))]} = 1,000 + {1,000 x [max(1%, -2%)]} = 1,000 + {1,000 x 1%} = 1,000 + 10 = 1,010 Baht
The option states 1,010 Baht, which matches our calculation.
Therefore, option d is correct.
Wait, I should double-check my calculations to make sure.
a) If average MLR = 5%: 10% - 5% = 5% max(1%, 5%) = 5% 1,000 + (1,000 × 5%) = 1,000 + 50 = 1,050 Baht (not 1,060 as stated)
b) If average MLR = 6%: 10% - 6% = 4% max(1%, 4%) = 4% 1,000 + (1,000 × 4%) = 1,000 + 40 = 1,040 Baht (not 1,060 as stated)
c) If average MLR = 11%: 10% - 11% = -1% max(1%, -1%) = 1% 1,000 + (1,000 × 1%) = 1,000 + 10 = 1,010 Baht (not 1,110 as stated)
d) If average MLR = 12%: 10% - 12% = -2% max(1%, -2%) = 1% 1,000 + (1,000 × 1%) = 1,000 + 10 = 1,010 Baht (matches the stated amount)
So option d is correct.
Actually, let me look more carefully at this equation again: Repayment Amount = Face Value + { Face Value x [ max(1%, (10% - MLR average)) ] }
For option d, if MLR average = 12%: 10% - 12% = -2% max(1%, -2%) = 1% Face Value + {Face Value x 1%} = 1,000 + 10 = 1,010 Baht
This matches option d, which states that if the MLR average is 12%, the repayment amount is 1,010 Baht.
So the correct answer is option d.
This question is about calculating the repayment amount for an interest rate-linked note. According to the formula:
Repayment Amount = Face Value + { Face Value × [max(1%, (10% - average MLR)) ] }
Let me check each option:
a) If MLR = 5%: 1000 + 1000×max(1%, 5%) = 1000 + 50 = 1050 (not 1060) b) If MLR = 6%: 1000 + 1000×max(1%, 4%) = 1000 + 40 = 1040 (not 1060) c) If MLR = 11%: 1000 + 1000×max(1%, -1%) = 1000 + 10 = 1010 (not 1110) d) If MLR = 12%: 1000 + 1000×max(1%, -2%) = 1000 + 10 = 1010 ✓
{"correct_answer_key":"d"}
Let me analyze this interest rate-linked note problem step by step.
The formula given is: Amount received = Face value + {Face value × [max(1%, (10% - Average MLR))]}
Where face value = 1,000 baht
Let me calculate for each option:
a) If average MLR = 5%:
b) If average MLR = 6%:
c) If average MLR = 11%:
d) If average MLR = 12%:
{"correct_answer_key": "d"}
This is a question about interest rate-linked notes in Thai. Let me translate and understand the problem:
The question is about derivative bonds that pay returns based on money market interest rates (interest rate-linked notes) with:
Where MLR is the Minimum Lending Rate.
So the formula is: Payment = 1000 + 1000 × max(1%, (10% - average MLR))
Let me check each option:
a) If average MLR = 5%: max(1%, (10% - 5%)) = max(1%, 5%) = 5% Payment = 1000 + 1000 × 5% = 1000 + 50 = 1050 baht The option says 1060 baht - INCORRECT
b) If average MLR = 6%: max(1%, (10% - 6%)) = max(1%, 4%) = 4% Payment = 1000 + 1000 × 4% = 1000 + 40 = 1040 baht The option says 1060 baht - INCORRECT
c) If average MLR = 11%: max(1%, (10% - 11%)) = max(1%, -1%) = 1% Payment = 1000 + 1000 × 1% = 1000 + 10 = 1010 baht The option says 1110 baht - INCORRECT
d) If average MLR = 12%: max(1%, (10% - 12%)) = max(1%, -2%) = 1% Payment = 1000 + 1000 × 1% = 1000 + 10 = 1010 baht The option says 1010 baht - CORRECT
I analyze the bond's payment mechanism by calculating returns under different MLR scenarios. When MLR exceeds 10%, the payment is capped at 1% above face value. Option d accurately reflects this calculation, making it the precise solution to the problem.
Looking at this interest rate-linked note with face value of 1000 baht, the payment formula at maturity is: Payment = Face value + {Face value × [max(1%, (10% - average MLR))]}
Let me calculate each option:
a) MLR = 5%: max(1%, 5%) = 5% → 1000 + (1000 × 5%) = 1050 baht ≠ 1060
b) MLR = 6%: max(1%, 4%) = 4% → 1000 + (1000 × 4%) = 1040 baht ≠ 1060
c) MLR = 11%: max(1%, -1%) = 1% → 1000 + (1000 × 1%) = 1010 baht ≠ 1110
d) MLR = 12%: max(1%, -2%) = 1% → 1000 + (1000 × 1%) = 1010 baht = 1010 ✓
When MLR exceeds 10%, the formula uses the minimum 1% rate, resulting in a payment of 1010 baht.
{"correct_answer_key":"d"}
Let me analyze this interest rate-linked note step by step.
The formula given is: Amount received = Face value + {Face value × [max(1%, (10% - Average MLR))]}
Where face value = 1000 baht
Let me check each option:
Option A: MLR average = 5%
Option B: MLR average = 6%
Option C: MLR average = 11%
Option D: MLR average = 12%
{"correct_answer_key":"d"}
Let me understand this question step by step. This is about interest rate-linked notes in Thai.
The formula given is: Amount received = Face value + {Face value x [max(1%, (10% - average MLR))]}
Face value = 1000 baht Term = 1 year
Let me check each option:
a) If average MLR = 5% max(1%, (10% - 5%)) = max(1%, 5%) = 5% Amount = 1000 + (1000 x 5%) = 1000 + 50 = 1050 baht But the option says 1060 baht, so this is incorrect.
b) If average MLR = 6% max(1%, (10% - 6%)) = max(1%, 4%) = 4% Amount = 1000 + (1000 x 4%) = 1000 + 40 = 1040 baht But the option says 1060 baht, so this is incorrect.
c) If average MLR = 11% max(1%, (10% - 11%)) = max(1%, -1%) = 1% Amount = 1000 + (1000 x 1%) = 1000 + 10 = 1010 baht But the option says 1110 baht, so this is incorrect.
d) If average MLR = 12% max(1%, (10% - 12%)) = max(1%, -2%) = 1% Amount = 1000 + (1000 x 1%) = 1000 + 10 = 1010 baht The option says 1010 baht, so this matches!
Let me double-check option d: MLR = 12% 10% - 12% = -2%
When comparing -2% with 1%, the higher value prevails, confirming the 1% calculation. This validates the final amount of 1010 baht for option d.
This question is about interest rate-linked notes with a specific payout formula. Let me calculate each option using the given formula:
Amount received = Face value + {Face value × [max(1%, (10% - average MLR))]}
Where face value = 1000 baht
Checking each option:
{"correct_answer_key":"d"}
To determine the correct answer, we need to calculate the amount received based on the given formula for each option:
Formula:
จำนวนเงินที่ได้รับชำระคืน = มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ] }
Given:
มูลค่าทีตราไว้ = 1000 บาท
Let's evaluate each option:
Option A: MLR เฉลี่ย = 5%
Option B: MLR เฉลี่ย = 6%
Option C: MLR เฉลี่ย = 11%
Option D: MLR เฉลี่ย = 12%
Correct Answer:
{"correct_answer_key":"d"}
The question describes an interest rate-linked note with the following terms:
Option A (MLR เฉลี่ย = 5%):
Option B (MLR เฉลี่ย = 6%):
Option C (MLR เฉลี่ย = 11%):
Option D (MLR เฉลี่ย = 12%):
{"correct_answer_key":"d"}
The question involves calculating the repayment amount for a derivative bond with a face value of 1000 baht and a 1-year maturity. The repayment formula is:
[ \text{Repayment} = \text{Face value} + \left{ \text{Face value} \times \max\left(1%, (10% - \text{Average MLR})\right) \right} ]
where:
The options provide different average MLR values and claimed repayment amounts. The correct option must match the calculated repayment using the formula.
Option a: Average MLR = 5%
Calculation:
(\max(1%, (10% - 5%)) = \max(1%, 5%) = 5%)
Repayment = (1000 + 1000 \times 5% = 1000 + 50 = 1050) baht
Claimed repayment is 1060 baht → Incorrect (1050 ≠ 1060).
Option b: Average MLR = 6%
Calculation:
(\max(1%, (10% - 6%)) = \max(1%, 4%) = 4%)
Repayment = (1000 + 1000 \times 4% = 1000 + 40 = 1040) baht
Claimed repayment is 1060 baht → Incorrect (1040 ≠ 1060).
Option c: Average MLR = 11%
Calculation:
(\max(1%, (10% - 11%)) = \max(1%, -1%) = 1%) (since 1% > -1%)
Repayment = (1000 + 1000 \times 1% = 1000 + 10 = 1010) baht
Claimed repayment is 1110 baht → Incorrect (1010 ≠ 1110).
Option d: Average MLR = 12%
Calculation:
(\max(1%, (10% - 12%)) = \max(1%, -2%) = 1%) (since 1% > -2%)
Repayment = (1000 + 1000 \times 1% = 1000 + 10 = 1010) baht
Claimed repayment is 1010 baht → Correct (1010 = 1010).
Only option d correctly matches the calculated repayment amount based on the given formula.
{"correct_answer_key": "d"}
This question asks about an interest rate-linked note with a face value of 1000 baht and a maturity of 1 year. The repayment at maturity is calculated as:
Repayment = Face Value + {Face Value * [max(1%, (10% - Average MLR))]}.
Let's analyze each option:
a) Average MLR = 5%: Repayment = 1000 + {1000 * [max(1%, (10% - 5%))]} = 1000 + {1000 * [max(1%, 5%)]} = 1000 + (1000 * 5%) = 1000 + 50 = 1050 baht. This contradicts the option stating 1060 baht.
b) Average MLR = 6%: Repayment = 1000 + {1000 * [max(1%, (10% - 6%))]} = 1000 + {1000 * [max(1%, 4%)]} = 1000 + (1000 * 4%) = 1000 + 40 = 1040 baht. This contradicts the option stating 1060 baht.
c) Average MLR = 11%: Repayment = 1000 + {1000 * [max(1%, (10% - 11%))]} = 1000 + {1000 * [max(1%, -1%)]} = 1000 + (1000 * 1%) = 1000 + 10 = 1010 baht. This contradicts the option stating 1110 baht.
d) Average MLR = 12%: Repayment = 1000 + {1000 * [max(1%, (10% - 12%))]} = 1000 + {1000 * [max(1%, -2%)]} = 1000 + (1000 * 1%) = 1000 + 10 = 1010 baht. This matches the option.
Therefore, the correct answer is d.
{"correct_answer_key": "d"}
Let's analyze the formula: Amount Received = Face Value + { Face Value x [ max(1%, (10% - Average MLR)) ] } Face Value is 1000.
Option a: MLR = 5%. Amount = 1000 + {1000 x [max(1%, (10% - 5%))] } = 1000 + {1000 x [max(1%, 5%)]} = 1000 + {1000 x 5%} = 1000 + 50 = 1050. This contradicts the statement of 1060.
Option b: MLR = 6%. Amount = 1000 + {1000 x [max(1%, (10% - 6%))] } = 1000 + {1000 x [max(1%, 4%)]} = 1000 + {1000 x 4%} = 1000 + 40 = 1040. This contradicts the statement of 1060.
Option c: MLR = 11%. Amount = 1000 + {1000 x [max(1%, (10% - 11%))] } = 1000 + {1000 x [max(1%, -1%)]} = 1000 + {1000 x 1%} = 1000 + 10 = 1010. This contradicts the statement of 1110.
Option d: MLR = 12%. Amount = 1000 + {1000 x [max(1%, (10% - 12%))] } = 1000 + {1000 x [max(1%, -2%)]} = 1000 + {1000 x 1%} = 1000 + 10 = 1010. This matches the statement of 1010.
{"correct_answer_key":"d"}
Let's break down the calculation for the amount received at maturity:
Now let's analyze each option:
{"correct_answer_key":"d"}
The question describes an interest rate-linked note with a face value of 1000 Baht. The payoff at maturity is calculated using the formula:
Payoff = Face Value + { Face Value x [ max(1%, (10% - Average MLR)) ] }
Let's test each option:
Option A: If Average MLR = 5% (0.05)
Payoff = 1000 + { 1000 x [ max(0.01, (0.10 - 0.05)) ] }
Payoff = 1000 + { 1000 x [ max(0.01, 0.05) ] }
Payoff = 1000 + { 1000 x 0.05 } = 1000 + 50 = 1050 Baht.
Option A states 1060 Baht, so it's incorrect.
Option B: If Average MLR = 6% (0.06)
Payoff = 1000 + { 1000 x [ max(0.01, (0.10 - 0.06)) ] }
Payoff = 1000 + { 1000 x [ max(0.01, 0.04) ] }
Payoff = 1000 + { 1000 x 0.04 } = 1000 + 40 = 1040 Baht.
Option B states 1060 Baht, so it's incorrect.
Option C: If Average MLR = 11% (0.11)
Payoff = 1000 + { 1000 x [ max(0.01, (0.10 - 0.11)) ] }
Payoff = 1000 + { 1000 x [ max(0.01, -0.01) ] }
Payoff = 1000 + { 1000 x 0.01 } = 1000 + 10 = 1010 Baht.
Option C states 1110 Baht, so it's incorrect.
Option D: If Average MLR = 12% (0.12)
Payoff = 1000 + { 1000 x [ max(0.01, (0.10 - 0.12)) ] }
Payoff = 1000 + { 1000 x [ max(0.01, -0.02) ] }
Payoff = 1000 + { 1000 x 0.01 } = 1000 + 10 = 1010 Baht.
Option D states 1010 Baht, which matches the calculation.
{"correct_answer_key":"d"}
The question describes a derivative bond (interest rate-linked note) with a face value of 1000 Baht and a 1-year maturity. The payoff at maturity is calculated as:
Amount Received = Face Value + { Face Value x [ max(1%, (10% - Average MLR)) ] }
Let's break down the formula and test each option:
The variable part of the return is max(1%, (10% - Average MLR)). This means the minimum additional return is 1% of the face value, and the maximum is determined by 10% - Average MLR, but it cannot go below 1%.
Let's evaluate each option:
a) หาก MLR เฉลี่ย เท่ากับ 5% จะได้รับเงินสดคืน 1060 บาท
max(1%, (10% - 5%)) = max(1%, 5%) = 5%b) หาก MLR เฉลี่ย เท่ากับ 6% จะได้รับเงินสดคืน 1060 บาท
max(1%, (10% - 6%)) = max(1%, 4%) = 4%c) หาก MLR เฉลี่ย เท่ากับ 11% จะได้รับเงินสดคืน 1110 บาท
max(1%, (10% - 11%)) = max(1%, -1%) = 1% (because the return cannot be less than 1%)d) หาก MLR เฉลี่ย เท่ากับ 12% จะได้รับเงินสดคืน 1010 บาท
max(1%, (10% - 12%)) = max(1%, -2%) = 1% (because the return cannot be less than 1%){"correct_answer_key":"d"}
The repayment amount is calculated using the formula: Total Repayment = Face Value + {Face Value x [max(1%, (10% - Average MLR))]}. We test option D where the Average MLR is 12%. The interest rate is max(1%, (10% - 12%)) = max(1%, -2%), which equals 1%. The interest earned is 1000 Baht * 1% = 10 Baht. Therefore, the total repayment is 1000 (face value) + 10 (interest) = 1010 Baht. This matches option D.
{"correct_answer_key":"d"}
The question describes an interest rate-linked note with a specific repayment formula. Let's break down the formula and test each option:
Repayment = Face Value + (Face Value * max(1%, (10% - Average MLR)))
Face Value = 1000 Baht
Option a: MLR = 5% Repayment = 1000 + (1000 * max(1%, (10% - 5%))) Repayment = 1000 + (1000 * max(1%, 5%)) Repayment = 1000 + (1000 * 5%) Repayment = 1000 + 50 Repayment = 1050 Baht. This is incorrect.
Option b: MLR = 6% Repayment = 1000 + (1000 * max(1%, (10% - 6%))) Repayment = 1000 + (1000 * max(1%, 4%)) Repayment = 1000 + (1000 * 4%) Repayment = 1000 + 40 Repayment = 1040 Baht. This is incorrect.
Option c: MLR = 11% Repayment = 1000 + (1000 * max(1%, (10% - 11%))) Repayment = 1000 + (1000 * max(1%, -1%)) Repayment = 1000 + (1000 * 1%) Repayment = 1000 + 10 Repayment = 1010 Baht. This is incorrect.
Option d: MLR = 12% Repayment = 1000 + (1000 * max(1%, (10% - 12%))) Repayment = 1000 + (1000 * max(1%, -2%)) Repayment = 1000 + (1000 * 1%) Repayment = 1000 + 10 Repayment = 1010 Baht. This is correct.
{"correct_answer_key":"d"}
คำอธิบาย:
สูตรการคำนวณเงินที่ได้รับคืน = 1,000 + [1,000 × max(1%, (10% - MLR เฉลี่ย))]
ลองคำนวณแต่ละตัวเลือก:
a) MLR เฉลี่ย 5% → (10%-5%) = 5% > 1% → ได้ 1,000 + (1,000×5%) = 1,050 บาท (ไม่ใช่ 1,060)
b) MLR เฉลี่ย 6% → (10%-6%) = 4% > 1% → ได้ 1,000 + (1,000×4%) = 1,040 บาท (ไม่ใช่ 1,060)
c) MLR เฉลี่ย 11% → (10%-11%) = -1% < 1% → ใช้ 1% → ได้ 1,000 + (1,000×1%) = 1,010 บาท (ไม่ใช่ 1,110)
d) MLR เฉลี่ย 12% → (10%-12%) = -2% < 1% → ใช้ 1% → ได้ 1,000 + (1,000×1%) = 1,010 บาท (ถูกต้อง)
ดังนั้น ตัวเลือกที่ถูกต้องคือ d
{"correct_answer_key":"d"}
คำอธิบาย:
สูตรการคำนวณเงินที่ได้รับชำระคืนคือ
มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ] }
โดยมูลค่าที่ตราไว้ = 1000 บาท
เราจะคำนวณแต่ละกรณี:
กรณี MLR = 5%
10% - 5% = 5% > 1%
ดังนั้นใช้ 5%
เงินคืน = 1000 + 1000 x 5% = 1000 + 50 = 1050 บาท (ไม่ใช่ 1060)
กรณี MLR = 6%
10% - 6% = 4% > 1%
เงินคืน = 1000 + 1000 x 4% = 1040 บาท (ไม่ใช่ 1060)
กรณี MLR = 11%
10% - 11% = -1% < 1%
ใช้ 1%
เงินคืน = 1000 + 1000 x 1% = 1010 บาท (ไม่ใช่ 1110)
กรณี MLR = 12%
10% - 12% = -2% < 1%
ใช้ 1%
เงินคืน = 1000 + 1000 x 1% = 1010 บาท (ตรงกับตัวเลือก d)
ดังนั้น ตัวเลือกที่ถูกต้องคือ d.
{"correct_answer_key":"d"}
คำอธิบาย: สัญญาหุ้นกู้อนุพันธ์นี้จ่ายผลตอบแทนตามอัตราดอกเบี้ยตลาด (MLR เฉลี่ย) โดยมีสูตรคำนวณเงินคืนคือ มูลค่าที่ตราไว้ (1000 บาท) บวกกับผลต่างของอัตราดอกเบี้ยสูงสุดระหว่าง 1% กับ (10% - MLR เฉลี่ย) คูณด้วยมูลค่าที่ตราไว้ ถ้า MLR เฉลี่ย ต่ำกว่า 10% ผลตอบแทนจะเป็น 1000 + 1000 x (max(1%, 10% - MLR เฉลี่ย)) ซึ่งจะได้ผลต่างตามแต่ค่า MLR เฉลี่ย
ดังนั้น คำตอบที่ถูกต้องคือ ตัวเลือก D
{"correct_answer_key":"d"}
ก่อนอื่น เรามาวิเคราะห์เงื่อนไขการชำระคืนกันก่อน:
สูตรที่โจทย์ให้มา คือ:
จำนวนเงินที่ได้รับชำระคืน = มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ × [max(1%, (10% - MLR เฉลี่ย))] }
มูลค่าที่ตราไว้ = 1,000 บาท
ลองตรวจสอบแต่ละตัวเลือก:
ตัวเลือก a: MLR เฉลี่ย = 5%
(10% - 5%) = 5% ซึ่งมากกว่า 1% ดังนั้นใช้ 5%
เงินที่ได้รับคืน = 1,000 + (1,000 × 5%) = 1,000 + 50 = 1,050 บาท (ไม่ใช่ 1,060 บาท)
ตัวเลือก b: MLR เฉลี่ย = 6%
(10% - 6%) = 4% ซึ่งมากกว่า 1% ดังนั้นใช้ 4%
เงินที่ได้รับคืน = 1,000 + (1,000 × 4%) = 1,000 + 40 = 1,040 บาท (ไม่ใช่ 1,060 บาท)
ตัวเลือก c: MLR เฉลี่ย = 11%
(10% - 11%) = -1% ซึ่งน้อยกว่า 1% ดังนั้นใช้ 1% (เพราะ max(1%, -1%) = 1%)
เงินที่ได้รับคืน = 1,000 + (1,000 × 1%) = 1,000 + 10 = 1,010 บาท (ไม่ใช่ 1,110 บาท)
ตัวเลือก d: MLR เฉลี่ย = 12%
(10% - 12%) = -2% ซึ่งน้อยกว่า 1% ดังนั้นใช้ 1%
เงินที่ได้รับคืน = 1,000 + (1,000 × 1%) = 1,000 + 10 = 1,010 บาท (ถูกต้อง)
ดังนั้น ตัวเลือกที่ถูกต้องคือข้อ d
{"correct_answer_key":"d"}
ในการคำนวณจำนวนเงินที่ได้รับชำระคืนเมื่อหุ้นกู้อนุพันธ์ครบกำหนดอายุสัญญา เราจะใช้สูตร:
[ \text{จำนวนเงินที่ได้รับชำระคืน} = \text{มูลค่าที่ตราไว้} + \left( \text{มูลค่าที่ตราไว้} \times \max(1%, (10% - \text{MLR เฉลี่ย})) \right) ]
มูลค่าที่ตราไว้คือ 1000 บาท
ดังนั้น ตัวเลือกที่ถูกต้องคือ D
{"correct_answer_key":"d"}
ในการคำนวณจำนวนเงินที่ได้รับคืนเมื่อหุ้นกู้อนุพันธ์ครบกำหนดอายุสัญญา เราจะใช้สูตรที่ให้ไว้ในคำถาม:
จำนวนเงินที่ได้รับคืน = มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ] }
โดยที่มูลค่าที่ตราไว้คือ 1000 บาท
หาก MLR เฉลี่ย เท่ากับ 5%:
หาก MLR เฉลี่ย เท่ากับ 6%:
หาก MLR เฉลี่ย เท่ากับ 11%:
หาก MLR เฉลี่ย เท่ากับ 12%:
จากการคำนวณข้างต้น ตัวเลือกที่ถูกต้องคือ "หาก MLR เฉลี่ย เท่ากับ 5% จะได้รับเงินสดคืน 1060 บาท" ซึ่งไม่ถูกต้องตามการคำนวณที่ทำ แต่ตัวเลือกที่ถูกต้องคือ "หาก MLR เฉลี่ย เท่ากับ 11% จะได้รับเงินสดคืน 1010 บาท" ซึ่งตรงกับการคำนวณ
ดังนั้นคำตอบที่ถูกต้องคือ:
{"correct_answer_key":"d"}
Let's calculate the amount to be received at maturity based on the given formula for the interest rate-linked notes. The formula is:
Amount received at maturity = Face Value + { Face Value × [ max(1%, (10% - Average MLR)) ] }
Here, the face value is 1000 Baht. We need to evaluate each option by plugging in the given Average MLR values and checking the resulting amount.
Option A: MLR = 5%
max(1%, (10% - 5%)) = max(1%, 5%) = 5%
Amount = 1000 + (1000 × 5%) = 1000 + 50 = 1050 Baht
(Incorrect, as the option states 1060 Baht)
Option B: MLR = 6%
max(1%, (10% - 6%)) = max(1%, 4%) = 4%
Amount = 1000 + (1000 × 4%) = 1000 + 40 = 1040 Baht
(Incorrect, as the option states 1060 Baht)
Option C: MLR = 11%
max(1%, (10% - 11%)) = max(1%, -1%) = 1%
Amount = 1000 + (1000 × 1%) = 1000 + 10 = 1010 Baht
(Incorrect, as the option states 1110 Baht)
Option D: MLR = 12%
max(1%, (10% - 12%)) = max(1%, -2%) = 1%
Amount = 1000 + (1000 × 1%) = 1000 + 10 = 1010 Baht
(Correct, as the option states 1010 Baht)
Thus, the correct answer is option D.
{"correct_answer_key":"d"}
First, the user has provided another multiple-choice question in JSON format. I need to follow the same pattern as before: provide a brief explanation, then respond in JSON with the "correct_answer_key".
The question is in Thai, and it seems to be about financial instruments, specifically interest rate-linked notes. Let me translate and understand it.
The question describes: "Interest rate-linked notes with a value of 1000 Baht, 1-year term, pays returns annually. The repayment condition at maturity is: Amount received = Face value + { Face value x [ max(1%, (10% - Average MLR)) ] }"
MLR probably stands for Market Lending Rate or something similar.
So, the formula for the amount received at maturity is:
Amount = 1000 + {1000 x [max(1%, (10% - Average MLR))]}
Simplifying, Amount = 1000 * (1 + max(1%, (10% - Average MLR)))
More precisely: Amount = 1000 + [1000 * max(1%, (10% - Average MLR))] = 1000 * [1 + max(1%, (10% - Average MLR))]
Now, the options are:
a: If average MLR = 5%, receive 1060 Baht
b: If average MLR = 6%, receive 1060 Baht
c: If average MLR = 11%, receive 1110 Baht
d: If average MLR = 12%, receive 1010 Baht
I need to calculate for each scenario what the actual amount should be and see which one matches.
Let’s denote:
Let r = average MLR
Then, additional return = max(1%, (10% - r))
So, Total Amount = 1000 + [1000 * max(1%, (10% - r))]
Or, Total Amount = 1000 * [1 + max(1%, (10% - r))]
First, for option a: r = 5%
10% - r = 10% - 5% = 5%
max(1%, 5%) = 5%
So, Amount = 1000 + (1000 * 5%) = 1000 + (1000 * 0.05) = 1000 + 50 = 1050 Baht
But option a says 1060 Baht. That's not matching. So, a is incorrect.
Option a claims 1060, but calculation shows 1050. So, wrong.
For option b: r = 6%
10% - r = 10% - 6% = 4%
max(1%, 4%) = 4% (since 4% > 1%)
Amount = 1000 + (1000 * 4%) = 1000 + 40 = 1040 Baht
Option b says 1060 Baht. Not matching. So, b is incorrect.
For option c: r = 11%
10% - r = 10% - 11% = -1%
max(1%, -1%) = 1% (since 1% > -1%)
Amount = 1000 + (1000 * 1%) = 1000 + 10 = 1010 Baht
Option c says 1110 Baht. That's not matching. I got 1010, but it says 1110. So, c is incorrect.
That can't be right. Let me double-check the formula.
The formula is: Amount = Face value + { Face value x [ max(1%, (10% - MLR)) ] }
For r=11%, max(1%, (10%-11%)) = max(1%, -1%) = 1%
So, 1000 + (1000 * 0.01) = 1000 + 10 = 1010
But option c says 1110, which is wrong.
For option d: r = 12%
10% - r = 10% - 12% = -2%
max(1%, -2%) = 1%
Amount = 1000 + (1000 * 1%) = 1000 + 10 = 1010 Baht
Option d says 1010 Baht. That matches!
Option d: "หาก MLR เฉลีย เท่ากับ 12% จะได้รับเงินสดคืน 1010 บาท" which is "If average MLR = 12%, receive 1010 Baht"
Yes, my calculation for d is exactly 1010.
But earlier for c, I calculated 1010, but option c says 1110, which is incorrect, so c is wrong.
The question is to find which option is correct, meaning which statement is true.
So, for a: Calculated 1050, but says 1060 → false
b: Calculated 1040, but says 1060 → false
c: Calculated 1010, but says 1110 → false
d: Calculated 1010, and says 1010 → true
So, d is the correct one.
Is that right? For c, with r=11%, amount=1010, but option c claims 1110, which is wrong, so the statement in c is incorrect.
Yes.
Perhaps I misread the formula. Let me double-check the original question.
"จํานวนเงินทีได้รับชําระคืน = มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1% (10% - MLR เฉลีย) ] }"
It's written as: max(1% (10% - MLR เฉลีย)
In the text: "max(1% (10% - MLR เฉลีย)"
It might be max(1%, (10% - MLR)) which is what I assumed.
Perhaps it's max(1%, 10% - MLR), yes.
Another way: in the text, it's "max(1% (10% - MLR เฉลีย)", which might be missing a comma, but I think it's max(1%, (10% - MLR)).
Assuming that's correct.
So, yes, for d, it matches.
Therefore, the correct answer is d.
Now, to respond: Provide a brief explanation, then respond in JSON with {"correct_answer_key":"d"}
Brief explanation: For MLR = 12%, the return is max(1%, 10% - 12%) = max(1%, -2%) = 1%, so total amount = 1000 + (1000 * 0.01) = 1010 Baht, which matches option d. The other options do not match the calculated values.
Yes.
This question involves calculating the repayment amount for interest rate-linked notes with a face value of 1000 Baht. The formula is: Amount = 1000 + [1000 × max(1%, (10% - Average MLR))].
Thus, option D is accurate.
{"correct_answer_key":"d"}
First, the user is providing another multiple-choice question in JSON format. I need to follow the same pattern as before: provide a brief explanation, then respond in JSON with the "correct_answer_key".
The question is in Thai, and it seems to be about financial instruments, specifically interest rate-linked notes. Let me translate and understand it.
The question describes: A bond with a face value of 1000 Baht, 1-year term, pays returns annually, and at maturity, the amount received is: Face value + { Face value x [ max(1%, (10% - Average MLR)) ] }
Where MLR likely stands for Market Lending Rate or something similar.
So, the formula for the amount received at maturity is:
Amount = 1000 + {1000 x [max(1%, (10% - Average MLR))]}
Simplifying, Amount = 1000 * (1 + max(1%, (10% - Average MLR)))
More precisely: Amount = 1000 + [1000 * max(1%, (10% - Average MLR))] = 1000 * [1 + max(1%, (10% - Average MLR))]
Now, the options are:
a: If average MLR = 5%, receive 1060 Baht
b: If average MLR = 6%, receive 1060 Baht
c: If average MLR = 11%, receive 1110 Baht
d: If average MLR = 12%, receive 1010 Baht
I need to calculate for each scenario what the actual amount should be and see which one matches.
Let’s denote:
Let r = max(1%, (10% - Average MLR))
Then, Amount = 1000 + (1000 * r) = 1000 * (1 + r)
For option a: MLR average = 5%
10% - 5% = 5%
max(1%, 5%) = 5% = 0.05
So, Amount = 1000 + (1000 * 0.05) = 1000 + 50 = 1050 Baht
But option a says 1060 Baht. That's not matching. So, a is incorrect.
For option b: MLR average = 6%
10% - 6% = 4%
max(1%, 4%) = 4% = 0.04
Amount = 1000 + (1000 * 0.04) = 1000 + 40 = 1040 Baht
Option b says 1060 Baht. Not matching. So, b is incorrect.
For option c: MLR average = 11%
10% - 11% = -1%
max(1%, -1%) = 1% = 0.01
Amount = 1000 + (1000 * 0.01) = 1000 + 10 = 1010 Baht
Option c says 1110 Baht. That's not matching. I got 1010, but it says 1110. So, c is incorrect.
That can't be right. Let me double-check the formula.
The question says: จํานวนเงินทีได้รับชําระคืน = มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1% (10% - MLR เฉลีย) ] }
It's written as: max(1% (10% - MLR เฉลีย))
In the text: max(1% (10% - MLR average))
It might be max(1%, (10% - MLR average))
For c, I calculated 1010, but option says 1110. Perhaps I have the formula wrong.
Maybe it's not addition, or perhaps I need to look back.
The formula is: มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1%, (10% - MLR average)) ] }
Yes, that's what I have.
For c: MLR = 11%, 10% - 11% = -1%, max(1%, -1%) = 1%, so 1000 + (1000 * 0.01) = 1010
But option c says 1110, which is wrong.
For d: MLR average = 12%
10% - 12% = -2%
max(1%, -2%) = 1% = 0.01
Amount = 1000 + (1000 * 0.01) = 1000 + 10 = 1010 Baht
Option d says 1010 Baht. Oh! So for d, it matches.
Is that the correct one? The question is to find which option is correct, meaning which statement is true.
For d: If MLR = 12%, amount = 1010, and the option says 1010, so that's correct.
Earlier for a, b, c, they don't match.
For a: Calculated 1050, option says 1060 — incorrect
b: Calculated 1040, option says 1060 — incorrect
c: Calculated 1010, option says 1110 — incorrect
d: Calculated 1010, option says 1010 — correct
So, d is the correct answer.
Is that right? For c, I calculated 1010, but option c says 1110, which is wrong, so the statement in c is false.
Yes, so only d's statement is true.
Therefore, the correct answer key is "d".
My response should be: Brief explanation, then JSON with {"correct_answer_key":"d"}
This question involves calculating the maturity value of an interest rate-linked note with a face value of 1,000 Baht. The formula for the amount received is:
Face Value + {Face Value × [max(1%, (10% - Average MLR))]}
Thus, option D is the correct statement.
{"correct_answer_key":"d"}
Let's calculate the repayment amount based on the given formula for the interest rate-linked notes. The formula is:
Repayment Amount = Face Value + { Face Value × [ max(1%, (10% - Average MLR)) ] }
Here, the Face Value is 1000 Baht. We need to evaluate each option by plugging in the given Average MLR values and checking the resulting repayment amount.
Option A: Average MLR = 5%
max(1%, (10% - 5%)) = max(1%, 5%) = 5%
Repayment = 1000 + (1000 × 5%) = 1000 + 50 = 1050 Baht
(Incorrect, as the option states 1060 Baht)
Option B: Average MLR = 6%
max(1%, (10% - 6%)) = max(1%, 4%) = 4%
Repayment = 1000 + (1000 × 4%) = 1000 + 40 = 1040 Baht
(Incorrect, as the option states 1060 Baht)
Option C: Average MLR = 11%
max(1%, (10% - 11%)) = max(1%, -1%) = 1%
Repayment = 1000 + (1000 × 1%) = 1000 + 10 = 1010 Baht
(Incorrect, as the option states 1110 Baht)
Option D: Average MLR = 12%
max(1%, (10% - 12%)) = max(1%, -2%) = 1%
Repayment = 1000 + (1000 × 1%) = 1000 + 10 = 1010 Baht
(Correct, as the option states 1010 Baht)
Thus, the correct answer is option D.
{"correct_answer_key":"d"}
{ "correct_answer_key": "d" }
สูตรการคำนวณเงินคืน
= 1,000 + 1,000 × max(1%, 10% – MLR เฉลี่ย)
ตัวเลือก d ระบุว่า MLR = 12% จะได้รับ 1,010 บาท ซึ่งตรงกับการคำนวณข้างต้น
{"correct_answer_key":"d"}
เพื่อคำนวณจำนวนเงินที่จะได้รับชำระคืนเมื่อหุ้นกู้อนุพันธ์ครบกำหนดอายุสัญญา เราต้องใช้สูตรที่กำหนด:
จำนวนเงินที่ได้รับชำระคืน = มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ] }
ลองคำนวณสำหรับตัวเลือกแต่ละตัว:
สำหรับตัวเลือก a: หาก MLR เฉลี่ยเท่ากับ 5%
สำหรับตัวเลือก b: หาก MLR เฉลี่ยเท่ากับ 6%
สำหรับตัวเลือก c: หาก MLR เฉลี่ยเท่ากับ 11%
สำหรับตัวเลือก d: หาก MLR เฉลี่ยเท่ากับ 12%
เมื่อดูผลลัพธ์ของการคำนวณ ตัวเลือกที่แสดงจำนวนเงินที่จะได้รับชำระคืนเมื่อหุ้นกู้อนุพันธ์ครบกำหนดอายุสัญญาได้ถูกต้องคือ:
{"correct_answer_key":"a"}
To determine the correct answer, let's analyze the given condition for the payment at the end of the term:
จำนวนเงินที่ได้รับชำระคืน = มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย) ] }
Given that the face value (มูลค่าที่ตราไว้) is 1000 บาท, the formula simplifies to: = 1000 + { 1000 x [ max(1%, (10% - MLR เฉลี่ย) ] } = 1000 + { [ max(1%, (10% - MLR เฉลี่ย) ] x 1000 }
Let's examine each option by calculating the amount to be received at the end of the term based on the given MLR เฉลี่ย:
a) หาก MLR เฉลี่ย เท่ากับ 5% = 1000 + { [ max(1%, (10% - 5%) ] x 1000 } = 1000 + { [ max(1%, 5%) ] x 1000 } = 1000 + (5% x 1000) = 1000 + 50 = 1050 บาท (not 1060)
b) หาก MLR เฉลี่ย เท่ากับ 6% = 1000 + { [ max(1%, (10% - 6%) ] x 1000 } = 1000 + { [ max(1%, 4%) ] x 1000 } = 1000 + (4% x 1000) = 1000 + 40 = 1040 บาท (not 1060)
c) หาก MLR เฉลี่ย เท่ากับ 11% = 1000 + { [ max(1%, (10% - 11%) ] x 1000 } = 1000 + { [ max(1%, -1%) ] x 1000 } = 1000 + (1% x 1000) = 1000 + 10 = 1010 บาท (not 1110)
d) หาก MLR เฉลี่ย เท่ากับ 12% = 1000 + { [ max(1%, (10% - 12%) ] x 1000 } = 1000 + { [ max(1%, -2%) ] x 1000 } = 1000 + (1% x 1000) = 1000 + 10 = 1010 บาท (correct)
Thus, the correct statement is d) หาก MLR เฉลี่ย เท่ากับ 12% จะได้รับเงินสดคืน 1010 บาท.
{"correct_answer_key":"d"}
To solve this, let's break down the information given and analyze the options.
The interest rate-linked note pays out based on a formula that seems to involve the Maximum of (1%, (10% - MLR average)). Let's assume MLR stands for a reference interest rate or a similar benchmark.
Given:
We need to calculate based on the options provided and see which one matches.
The correct calculation based on given choices seems to relate to option "d" if MLR = 12%, implying a 10 - 12 = -2%, but since that is a negative and 1% is the floor, it matches 1010.
So,
{"correct_answer_key":"d"}
To determine the correct answer, we need to evaluate the given formula for the repayment amount based on the Minimum Lending Rate (MLR). The formula is:
[ \text{Repayment Amount} = \text{Principal} + \left( \text{Principal} \times \max \left( 1%, \left( 10% - \text{MLR} \right) \right) \right) ]
Let's evaluate each option:
Option A: If MLR = 5% [ \text{Repayment Amount} = 1000 + \left( 1000 \times \max \left( 1%, \left( 10% - 5% \right) \right) \right) = 1000 + \left( 1000 \times 5% \right) = 1000 + 50 = 1050 ] This is incorrect.
Option B: If MLR = 6% [ \text{Repayment Amount} = 1000 + \left( 1000 \times \max \left( 1%, \left( 10% - 6% \right) \right) \right) = 1000 + \left( 1000 \times 4% \right) = 1000 + 40 = 1040 ] This is incorrect.
Option C: If MLR = 11% [ \text{Repayment Amount} = 1000 + \left( 1000 \times \max \left( 1%, \left( 10% - 11% \right) \right) \right) = 1000 + \left( 1000 \times 1% \right) = 1000 + 10 = 1010 ] This is incorrect.
Option D: If MLR = 12% [ \text{Repayment Amount} = 1000 + \left( 1000 \times \max \left( 1%, \left( 10% - 12% \right) \right) \right) = 1000 + \left( 1000 \times 1% \right) = 1000 + 10 = 1010 ] This is correct.
Therefore, the correct answer is option D.
{"correct_answer_key":"d"}
To determine the correct answer, we need to calculate the payout based on the given formula and the provided MLR (Maximum Lending Rate) values.
Formula: [ \text{Payout} = \text{Face Value} + \left( \text{Face Value} \times \max\left(1% \times (10% - \text{MLR}_{\text{เฉลีย}})\right) \right) ]
Given:
Calculations:
For MLR = 5%: [ \max\left(1% \times (10% - 5%)\right) = \max\left(1% \times 5%\right) = \max\left(0.01 \times 0.05\right) = \max\left(0.0005\right) = 0.0005 ] [ \text{Payout} = 1000 + \left(1000 \times 0.0005\right) = 1000 + 0.5 = 1000.5 \text{ THB} ]
For MLR = 6%: [ \max\left(1% \times (10% - 6%)\right) = \max\left(1% \times 4%\right) = \max\left(0.01 \times 0.04\right) = \max\left(0.0004\right) = 0.0004 ] [ \text{Payout} = 1000 + \left(1000 \times 0.0004\right) = 1000 + 0.4 = 1000.4 \text{ THB} ]
For MLR = 11%: [ \max\left(1% \times (10% - 11%)\right) = \max\left(1% \times (-1%)\right) = \max\left(0.01 \times (-0.01)\right) = \max\left(-0.0001\right) = 0 ] [ \text{Payout} = 1000 + \left(1000 \times 0\right) = 1000 + 0 = 1000 \text{ THB} ]
For MLR = 12%: [ \max\left(1% \times (10% - 12%)\right) = \max\left(1% \times (-2%)\right) = \max\left(0.01 \times (-0.02)\right) = \max\left(-0.0002\right) = 0 ] [ \text{Payout} = 1000 + \left(1000 \times 0\right) = 1000 + 0 = 1000 \text{ THB} ]
Conclusion:
{"correct_answer_key":"b"}
To determine the correct answer, we need to calculate the amount of money returned when the Maturity Loan Rate (MLR) is given. The formula provided is:
[ \text{Returned Amount} = \text{Face Value} + (\text{Face Value} \times \max(1%, (10% - \text{MLR}_{\text{effective}}))) ]
The face value is 1000 baht.
Let's calculate for each option:
[ \text{Returned Amount} = 1000 + (1000 \times \max(1%, (10% - 5%))) ] [ \text{Returned Amount} = 1000 + (1000 \times \max(1%, 5%)) ] [ \text{Returned Amount} = 1000 + (1000 \times 1%) ] [ \text{Returned Amount} = 1000 + 10 = 1010 \text{ baht} ]
[ \text{Returned Amount} = 1000 + (1000 \times \max(1%, (10% - 6%))) ] [ \text{Returned Amount} = 1000 + (1000 \times \max(1%, 4%)) ] [ \text{Returned Amount} = 1000 + (1000 \times 1%) ] [ \text{Returned Amount} = 1000 + 10 = 1010 \text{ baht} ]
[ \text{Returned Amount} = 1000 + (1000 \times \max(1%, (10% - 11%))) ] [ \text{Returned Amount} = 1000 + (1000 \times \max(1%, -1%)) ] [ \text{Returned Amount} = 1000 + (1000 \times 1%) ] [ \text{Returned Amount} = 1000 + 10 = 1010 \text{ baht} ]
[ \text{Returned Amount} = 1000 + (1000 \times \max(1%, (10% - 12%))) ] [ \text{Returned Amount} = 1000 + (1000 \times \max(1%, -2%)) ] [ \text{Returned Amount} = 1000 + (1000 \times 1%) ] [ \text{Returned Amount} = 1000 + 10 = 1010 \text{ baht} ]
None of the options match the expected returned amount of 1060 baht. However, if we consider the calculation for MLR = 5% and MLR = 6%, both return 1010 baht.
Given the problem statement, it seems there might be a mistake in the options provided. But based on the calculations, the closest correct answer would be:
{"correct_answer_key":"a"}
To determine the correct answer, we need to evaluate the formula provided:
จํานวนเงินทีได้รับชําระคืน = มูลค่าทีตราไว้ + { มูลค่าทีตราไว้ x [ max(1% (10% - MLR เฉลีย) ] }
Given that the face value is 1000 THB, let's evaluate each option:
Thus, the correct answer is option d.
{"correct_answer_key":"d"}
คำอธิบายโดยย่อ:
การคำนวณจำนวนเงินที่จะได้รับคืนเมื่อครบกำหนดอายุสัญญา คือ
มูลค่าที่ตราไว้ + (มูลค่าที่ตราไว้ × max(1%, 10% - MLR เฉลี่ย))
• หาก MLR เฉลี่ย = 12% ⇒ 10% - 12% = -2%
เมื่อเปรียบเทียบกับ 1% จะได้ max(1%, -2%) = 1%
ดังนั้น จำนวนเงินที่จะได้รับคืน = 1000 + (1000 × 1%) = 1010 บาท
ข้อ d) จึงเป็นคำตอบที่ถูกต้อง
{"correct_answer_key":"d"}
เงื่อนไขการจ่ายคืน = 1 000 บาท + (1 000 บาท × max[ 1 %, 10 % − MLR เฉลี่ย ])
คำนวณทีละกรณี
• MLR เฉลี่ย 5 % → 10 % − 5 % = 5 % > 1 % → ดอกเบี้ย = 1 000×5 %= 50 บาท → รับคืน 1 050 บาท (ไม่ใช่ 1 060)
• MLR เฉลี่ย 6 % → 10 % − 6 % = 4 % > 1 % → ดอกเบี้ย 40 บาท → รับคืน 1 040 บาท (ไม่ใช่ 1 060)
• MLR เฉลี่ย 11 % → 10 % − 11 % = −1 % < 1 % → ดอกเบี้ย = 1 000×1 % = 10 บาท → รับคืน 1 010 บาท (ไม่ใช่ 1 110)
• MLR เฉลี่ย 12 % → 10 % − 12 % = −2 % < 1 % → ดอกเบี้ย 10 บาท → รับคืน 1 010 บาท (ตรงกับตัวเลือก d)
{"correct_answer_key":"d"}
เงื่อนไขการชำระคืน = 1 000 + 1 000 × max(1%, 10% – MLR)
ตรวจแต่ละตัวเลือก
a) MLR = 5% ⇒ 10% – 5% = 5% (> 1%) ⇒ รับ 1 000 + 1 000 × 5% = 1 050 (ไม่ใช่ 1 060)
b) MLR = 6% ⇒ 10% – 6% = 4% ⇒ รับ 1 040 (ไม่ใช่ 1 060)
c) MLR = 11% ⇒ 10% – 11% = –1% (< 1%) ⇒ ใช้ 1% ⇒ รับ 1 010 (ไม่ใช่ 1 110)
d) MLR = 12% ⇒ 10% – 12% = –2% (< 1%) ⇒ ใช้ 1% ⇒ รับ 1 010 (ตรงกับที่ระบุ)
จึงถูกต้องเฉพาะตัวเลือก d.
{"correct_answer_key":"d"}
สูตรการชำระคืนตอนครบกำหนด
Amount = FV + FV × max(1%, 10% − MLR)
หน้าตั๋ว = 1,000 บาท
ตรวจแต่ละตัวเลือก
a) MLR = 5% 10%−5%=5% max(1%,5%)=5% รับ = 1,000+1,000×0.05 = 1,050 (ไม่ใช่ 1,060)
b) MLR = 6% 10%−6%=4% max=4% รับ = 1,000+40 = 1,040 (ไม่ใช่ 1,060)
c) MLR = 11% 10%−11%=−1% max=1% รับ = 1,000+10 = 1,010 (ไม่ใช่ 1,110)
d) MLR = 12% 10%−12%=−2% max=1% รับ = 1,000+10 = 1,010 (ถูกต้อง)
{"correct_answer_key":"d"}
The note’s redemption value is calculated as: Redemption Value = Face Value + { Face Value × [max(1%, (10% – Average MLR))] }
For each option: • Option a: If MLR = 5%, then (10% – 5%) = 5% and max(1%, 5%) = 5%. Interest = 1000 × 5% = 50 baht, so total = 1050 baht (≠ 1060 baht). • Option b: If MLR = 6%, then (10% – 6%) = 4% and max(1%, 4%) = 4%. Interest = 1000 × 4% = 40 baht, so total = 1040 baht (≠ 1060 baht). • Option c: If MLR = 11%, then (10% – 11%) = –1% and max(1%, –1%) = 1%. Interest = 1000 × 1% = 10 baht, so total = 1010 baht (≠ 1110 baht). • Option d: If MLR = 12%, then (10% – 12%) = –2% and max(1%, –2%) = 1%. Interest = 1000 × 1% = 10 baht, so total = 1010 baht, which matches.
Thus, the correct answer is option d.
{"correct_answer_key": "d"}
สำหรับหุ้นกู้อนุพันธ์นี้ จำนวนเงินที่จะได้รับคืนเมือครบกำหนดจะคำนวณจากสูตร
จํานวนเงินที่ได้รับคืน = มูลค่าที่ตราไว้ + (มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ])
ให้พิจารณาตัวเลือก d: ถ้า MLR เฉลี่ย = 12% ⇒ (10% - 12%) = -2% max(1%, -2%) = 1% ⇒ ชำระคืน = 1000 + (1000 x 1%) = 1000 + 10 = 1010 บาท
ซึ่งตรงกับข้อความในตัวเลือก d
{"correct_answer_key": "d"}
The redemption amount is calculated by adding the face value (1000 baht) to the interest, which is computed as 1000 × max(1%, (10% - average MLR)). For example, if the average MLR is 12%, then (10% - 12%) equals -2%, which is less than 1%. Therefore, the maximum is 1%, and the interest is 1000 × 1% = 10 baht. Adding this to the face value gives 1000 + 10 = 1010 baht, which matches option D.
{"correct_answer_key": "d"}
คำอธิบาย: ตามสูตร ชำระคืน = 1,000 + 1,000 × max(1%, 10% − MLRเฉลี่ย)
เมื่อ MLRเฉลี่ย = 12% → 10% − 12% = −2% < 1% จึงใช้ 1%
ดอกเบี้ย = 1,000 × 1% = 10 → ได้รับคืน 1,000 + 10 = 1,010 บาท
{"correct_answer_key":"d"}
คำอธิบายสั้น ๆ
จำนวนเงินคืน = 1,000 + 1,000 × max(1%, (10% – MLR เฉลี่ย))
เมื่อ MLR เฉลี่ย = 12% ⇒ (10%–12%) = –2% < 1% จึงใช้ 1%
เงินคืน = 1,000 + 1,000×1% = 1,010 บาท
{"correct_answer_key":"d"}
คำตอบข้อ d ถูกต้อง
เมื่อคำนวณจะได้
ดอกเบี้ย = 1,000 x max(1%, 10% − MLR)
ถ้า MLR = 12% → 10% − 12% = −2% → max(1%, −2%) = 1%
ดังนั้น ได้คืน = 1,000 + (1,000 x 1%) = 1,010 บาท
{"correct_answer_key":"d"}
To determine the correct amount to be received at maturity, we need to evaluate the formula given:
[ \text{Amount received} = \text{Principal} + \left( \text{Principal} \times \max\left(1%, \left(10% - \text{MLR}\right)\right) \right) ]
The principal is 1000 บาท. Let's evaluate each option:
Option A: MLR = 5% [ \max(1%, (10% - 5%)) = \max(1%, 5%) = 5% ] [ \text{Amount received} = 1000 + (1000 \times 5%) = 1000 + 50 = 1050 \text{ บาท} ] This does not match 1060 บาท.
Option B: MLR = 6% [ \max(1%, (10% - 6%)) = \max(1%, 4%) = 4% ] [ \text{Amount received} = 1000 + (1000 \times 4%) = 1000 + 40 = 1040 \text{ บาท} ] This does not match 1060 บาท.
Option C: MLR = 11% [ \max(1%, (10% - 11%)) = \max(1%, -1%) = 1% ] [ \text{Amount received} = 1000 + (1000 \times 1%) = 1000 + 10 = 1010 \text{ บาท} ] This does not match 1110 บาท.
Option D: MLR = 12% [ \max(1%, (10% - 12%)) = \max(1%, -2%) = 1% ] [ \text{Amount received} = 1000 + (1000 \times 1%) = 1000 + 10 = 1010 \text{ บาท} ] This matches the amount stated in the option.
Therefore, the correct answer is:
{"correct_answer_key":"d"}
หุ้นกู้อนุพันธ์ในตัวอย่างนี้จ่ายผลตอบแทนตามเงื่อนไขที่ระบุไว้ โดยมีมูลค่าที่ตราไว้เท่ากับ 1,000 บาท และผลตอบแทนคำนวณจากสูตร:
$$ \text{จำนวนเงินที่ได้รับชำระคืน} = \text{มูลค่าที่ตราไว้} + {\text{มูลค่าที่ตราไว้} \times [\text{max}(1%, (10% - \text{MLR เฉลี่ย}))]} $$
ตัวเลือก A: หาก MLR เฉลี่ย = 5%
ตัวเลือก B: หาก MLR เฉลี่ย = 6%
ตัวเลือก C: หาก MLR เฉลี่ย = 11%
ตัวเลือก D: หาก MLR เฉลี่ย = 12%
ตัวเลือกที่ถูกต้องคือ D
{"correct_answer_key":"d"}
หุ้นกู้อนุพันธ์นี้มีสูตรคำนวณเงินคืนเมื่อครบกำหนดเป็น:
มูลค่าที่ตราไว้ + {มูลค่าที่ตราไว้ × [max(1%, (10% - MLR เฉลี่ย))]}.
ตรวจสอบตัวเลือก:
ดังนั้น ตัวเลือกที่ถูกต้องคือ d
{"correct_answer_key":"d"}
{"correct_answer_key":"d"}
{"correct_answer_key":"d"}
Okay, let's tackle this problem step by step. The question is about a derivative bond that pays returns linked to market interest rates. The bond has a face value of 1000 THB, a 1-year term, and pays annually. The repayment at maturity is calculated as the face value plus [face value multiplied by max(1%, (10% - average MLR))]. We need to determine which of the options correctly shows the repayment amount based on different MLR averages.
First, let me parse the formula given. The repayment formula is:
Repayment = Face Value + (Face Value × max(1%, (10% - Average MLR)))
So, the key here is understanding how the max function works here. The max function takes two values: 1% and (10% - Average MLR). The result will be whichever is higher between these two.
Let me go through each option one by one.
Option a: If average MLR is 5%, repayment is 1060 THB.
Let's compute the rate first. 10% - 5% = 5%. Then compare that to 1%. Since 5% is higher than 1%, the max is 5%. So the repayment would be 1000 + (1000 × 5%) = 1000 + 50 = 1050. But the option says 1060, which is 60 more. So this is incorrect. The correct amount should be 1050, so option a is wrong.
Option b: If average MLR is 6%, repayment is 1060.
Calculating again: 10% -6% =4%. Max(1%,4%) is 4%. So 1000 + (1000×4%) = 1040. But the option says 1060. So that's not right either. Wait, maybe I made a mistake here. Wait, 4% of 1000 is 40, so total 1040. So option b is incorrect.
Option c: If average MLR is 11%, repayment is 1110.
Compute 10% -11% = -1%. Now, compare that to 1%. The max between -1% and 1% is 1%. So the repayment is 1000 + (1000×1%) = 1010. But the option says 1110, which is way higher. So that's wrong. Wait, maybe I miscalculated. Wait, 10% minus MLR (11%) gives -1%, so the max is 1%, so 1% of 1000 is 10, so total 1010. So option c is incorrect.
Option d: If average MLR is 12%, repayment is 1010.
Calculating: 10% -12% = -2%. Max between -2% and 1% is 1%. So again, 1000 +10 =1010. The option says 1010, so that's correct. Wait, but let me check again. The question is asking which option is correct. So option d says when MLR is 12%, repayment is 1010, which matches our calculation.
Wait, but let me check all options again to be sure.
Wait, maybe I made a mistake in the formula. The problem states: "max(1% (10% - MLR average)". Wait, the original problem's formula might have a typo in the user's input? Let me check the original question again.
The user wrote: "max(1% (10% - MLR เฉลีย) ]". The Thai part might have a missing operator. The original formula in the problem is written as:
"max(1% (10% - MLR average)"
Possibly, it's supposed to be max(1%, (10% - MLR average)), which is how I interpreted it. So the calculation is correct as above.
So, the correct answer is option d. Let me confirm each option again:
Option a: MLR 5% → 10% -5% =5% → max(1%,5%)=5% → 1000*5% =50 → total 1050. So a is wrong.
Option b: MLR6% → 10-6=4% → max(1%,4%)=4% → 40 → total 1040. So b is wrong.
Option c: MLR11% → 10-11= -1% → max(1%, -1%)=1% → 10 → total 1010. But option c says 1110, which is wrong.
Option d: MLR12% → 10-12= -2% → max(1%, -2%)=1% → 10 → total 1010. So d is correct.
Therefore, the correct answer is option d.
The bond's repayment formula is:
Repayment = Face Value + (Face Value × max(1%, (10% - Average MLR)))
Option a (MLR = 5%):
Calculation: max(1%, 10% - 5%) = max(1%, 5%) = 5%
Repayment = 1000 + (1000 × 5%) = 1050 THB (not 1060). Incorrect.
Option b (MLR = 6%):
Calculation: max(1%, 10% - 6%) = max(1%, 4%) = 4%
Repayment = 1000 + (1000 × 4%) = 1040 THB (not 1060). Incorrect.
Option c (MLR = 11%):
Calculation: max(1%, 10% - 11%) = max(1%, -1%) = 1%
Repayment = 1000 + (1000 × 1%) = 1010 THB (not 1110). Incorrect.
Option d (MLR = 12%):
Calculation: max(1%, 10% - 12%) = max(1%, -2%) = 1%
Repayment = 1000 + (1000 × 1%) = 1010 THB (matches the option). Correct.
{"correct_answer_key":"d"}
เพื่อหาจำนวนเงินที่จะได้รับชำระคืนเมื่อหุ้นกู้อนุพันธ์ครบกำหนดอายุสัญญา เราต้องใช้สูตรที่กำหนด:
จำนวนเงินที่ได้รับชำระคืน = มูลค่าที่ตราไว้ + { มูลค่าที่ตราไว้ x [ max(1%, (10% - MLR เฉลี่ย)) ] }
เราจะคำนวณสำหรับแต่ละตัวเลือก:
หาก MLR เฉลี่ยเท่ากับ 5%: max(1%, (10% - 5%)) = max(1%, 5%) = 5% จำนวนเงินที่ได้รับชำระคืน = 1000 + (1000 x 5%) = 1000 + 50 = 1050 บาท
หาก MLR เฉลี่ยเท่ากับ 6%: max(1%, (10% - 6%)) = max(1%, 4%) = 4% จำนวนเงินที่ได้รับชำระคืน = 1000 + (1000 x 4%) = 1000 + 40 = 1040 บาท
หาก MLR เฉลี่ยเท่ากับ 11%: max(1%, (10% - 11%)) = max(1%, -1%) = 1% จำนวนเงินที่ได้รับชำระคืน = 1000 + (1000 x 1%) = 1000 + 10 = 1010 บาท
หาก MLR เฉลี่ยเท่ากับ 12%: max(1%, (10% - 12%)) = max(1%, -2%) = 1% จำนวนเงินที่ได้รับชำระคืน = 1000 + (1000 x 1%) = 1000 + 10 = 1010 บาท
ดังนั้น ตัวเลือกที่แสดงจำนวนเงินที่จะได้รับชำระคืนได้ถูกต้องคือ:
{"correct_answer_key":"d"}
Alright! Let's tackle this problem step by step. The user provided a multiple-choice question in Thai about interest rate-linked notes. The question involves calculating the amount received upon maturity of such notes based on the MLR (Minimum Lending Rate) average.
First, I need to understand the structure of the payment. The formula given is: Amount Received = Face Value + {Face Value × [max(1%, (10% - MLR average))]}. The face value is 1000 THB, and the note has a 1-year term with annual payment.
I should break down each option to see which one correctly applies the formula. Let's go through each option one by one.
Option A: If MLR average is 5%, then (10% - 5%) equals 5%. The max between 1% and 5% is 5%. So, the interest would be 1000 × 5% = 50 THB. Total amount = 1000 + 50 = 1050 THB. However, option A says 1060, which doesn't match. So, A is incorrect.
Option B: MLR average is 6%. (10% - 6%) = 4%. Max(1%, 4%) is 4%. Interest = 1000 × 4% = 40 THB. Total amount = 1040 THB. Option B claims 1060, which is wrong. So, B is out.
Option C: MLR average is 11%. (10% - 11%) = -1%. Since we take the max with 1%, it becomes 1%. Interest = 1000 × 1% = 10 THB. Total amount = 1010 THB. But option C states 1110, which is incorrect. So, C is not right.
Option D: MLR average is 12%. (10% - 12%) = -2%. Again, max with 1% is 1%. Interest = 1000 × 1% = 10 THB. Total amount = 1010 THB. Option D says 1010, which matches our calculation. Therefore, D is the correct answer.
{
"correct_answer_key": "d"
}