128 lines
7.8 KiB
JSON
128 lines
7.8 KiB
JSON
{
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"actors_person": ["{person_title} {person_first_name} {person_last_name}", "{person_first_name} {person_last_name}", "{person_title} {person_last_name}"],
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"actors_company": ["{company_prefix} {company_suffix}", "{company_prefix} {company_industry}"],
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"actions_loan_present_singular": ["borrows", "takes out a loan for", "secures financing for", "needs a loan of", "is seeking a loan of"],
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"actions_loan_present_plural": ["borrow", "take out a loan for", "secure financing for", "need a loan of", "are seeking a loan of"],
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"actions_loan_past_singular": ["borrowed", "took out a loan for", "secured financing for", "received a loan of"],
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"actions_loan_past_plural": ["borrowed", "took out a loan for", "secured financing for", "received a loan of"],
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"actions_investment_present_singular": ["invests", "deposits", "puts", "plans to invest", "wants to deposit"],
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"actions_investment_present_plural": ["invest", "deposit", "put", "plan to invest", "want to deposit"],
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"actions_investment_past_singular": ["invested", "deposited", "put", "made an investment of"],
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"actions_investment_past_plural": ["invested", "deposited", "put", "made an investment of"],
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"actions_repayment_present_singular": ["repays", "settles", "amortizes", "makes a payment on"],
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"actions_repayment_present_plural": ["repay", "settle", "amortize", "make a payment on"],
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"actions_repayment_past_singular": ["repaid", "settled", "amortized", "made a payment on"],
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"actions_repayment_past_plural": ["repaid", "settled", "amortized", "made a payment on"],
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"actions_receive_present_singular": ["receives", "obtains", "gets", "is due to receive"],
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"actions_receive_present_plural": ["receive", "obtain", "get", "are due to receive"],
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"actions_receive_past_singular": ["received", "obtained", "got"],
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"actions_receive_past_plural": ["received", "obtained", "got"],
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"actions_earn_present_singular": ["earns", "accumulates", "yields"],
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"actions_earn_present_plural": ["earn", "accumulate", "yield"],
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"actions_earn_past_singular": ["earned", "accumulated", "yielded"],
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"actions_earn_past_plural": ["earned", "accumulated", "yielded"],
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"time_phrases_duration": ["for a period of", "over", "for", "during"],
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"time_phrases_point": ["at the end of", "after", "in"],
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"rate_phrases": ["at a rate of", "with an interest of", "at an annual rate of", "earning interest at"],
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"compounding_phrases": ["compounded {compounding_frequency_adverb}", "with {compounding_frequency_adverb} compounding"],
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"purpose_phrases_loan": ["for {item_loan}", "to finance {item_loan}", "to purchase {item_loan}"],
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"purpose_phrases_investment": ["in {item_investment}", "into {item_investment}", "to grow their capital through {item_investment}"],
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"question_starters_what_is": ["What is the", "Determine the", "Calculate the", "Find the", "What will be the", "What was the"],
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"question_starters_how_much": ["How much is the", "How much will be the", "How much was the", "How much should be"],
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"question_starters_how_long": ["How long will it take for", "How many years are needed for", "What is the time period for"],
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"scenario_introductions": [
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"Consider a scenario where {actor}",
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"{actor} is planning to",
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"Suppose {actor}",
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"Imagine {actor} needs to"
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],
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"scenario_connectors": [
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"The terms of the agreement state that",
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"It is known that",
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"Given that",
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"Assuming that"
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],
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"scenario_closures_question_prefix": [
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"Based on this information,",
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"Therefore,",
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"With these conditions,"
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],
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"solution_guidance": {
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"identify_knowns": "First, let's identify the given values (knowns) in the problem:",
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"state_formula": "The relevant formula for this problem is:",
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"substitute_values": "Now, we substitute the known values into the formula:",
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"perform_calculation": "Performing the calculation:",
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"intermediate_step": "The intermediate result for {step_name} is:",
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"final_answer_is": "Therefore, the {unknown_variable_description} is:",
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"convert_time_to_years": "Convert the time period to years: {original_time_value} {original_time_unit} = {converted_time_value_years} years.",
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"calculate_interest_rate_per_period": "Calculate the interest rate per compounding period (i): i = r / m = {nominal_rate_decimal} / {compounding_periods_per_year} = {interest_rate_per_period_decimal}.",
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"calculate_total_periods": "Calculate the total number of compounding periods (n): n = t * m = {time_in_years} years * {compounding_periods_per_year} = {total_periods} periods.",
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"check_leap_year": "{year} is {is_or_is_not} a leap year.",
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"days_in_period": "The number of days from {start_date} to {end_date} is {number_of_days} days."
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},
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"variable_descriptions": {
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"P": "principal amount",
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"F": "future value",
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"I": "interest amount",
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"i_simple_annual": "annual simple interest rate",
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"n_time_years": "time period in years",
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"n_time_months": "time period in months",
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"n_time_days": "time period in days",
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"r_nominal_annual": "nominal annual interest rate",
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"m_compounding_periods_per_year": "number of compounding periods per year",
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"i_rate_per_period": "interest rate per compounding period",
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"n_total_compounding_periods": "total number of compounding periods",
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"ER": "effective interest rate",
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"Db": "banker's discount amount",
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"d_discount_rate": "discount rate",
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"Proceeds": "proceeds from the loan",
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"I_exact_simple": "exact simple interest amount",
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"F_exact_simple": "future value with exact simple interest",
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"I_ordinary_simple": "ordinary simple interest amount",
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"F_ordinary_simple": "future value with ordinary simple interest",
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"start_date": "start date of the period",
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"end_date": "end date of the period",
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"time_base_days": "day count basis for the year (time base)",
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"n_time_years_fractional": "time period as a fraction of a year"
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},
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"solution_guidance": {
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"identify_knowns": "First, let's identify the given values (knowns) in the problem:",
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"state_formula": "The relevant formula for this problem is:",
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"substitute_values": "Now, we substitute the known values into the formula:",
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"perform_calculation": "Performing the calculation:",
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"intermediate_step": "The intermediate result for {step_name} is:",
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"final_answer_is": "Therefore, the {unknown_variable_description} is:",
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"convert_time_to_years": "Convert the time period to years: {original_time_value} {original_time_unit} = {converted_time_value_years} years.",
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"calculate_interest_rate_per_period": "Calculate the interest rate per compounding period (i): i = r / m = {nominal_rate_decimal} / {compounding_periods_per_year} = {interest_rate_per_period_decimal}.",
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"calculate_total_periods": "Calculate the total number of compounding periods (n): n = t * m = {time_in_years} years * {compounding_periods_per_year} = {total_periods} periods.",
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"check_leap_year": "{year} is {is_or_is_not} a leap year.",
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"days_in_period": "The number of days from {start_date} to {end_date} is {number_of_days} days.",
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"determine_time_base_exact": "For exact simple interest, the time base is the actual number of days in the reference year ({year}), which is {days_in_year} days.",
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"determine_time_base_ordinary": "For ordinary simple interest, the time base is 360 days.",
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"calculate_n_time_years_fractional": "Calculate the time as a fraction of a year (t_fractional): t_fractional = number of days / time base = {n_time_days} / {time_base_days} = {n_time_years_fractional_value}."
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},
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"compounding_frequency_adverbs": {
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"annually": "annually",
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"semi-annually": "semi-annually",
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"quarterly": "quarterly",
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"monthly": "monthly",
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"bi-monthly": "bi-monthly",
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"semi-monthly": "semi-monthly",
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"continuously": "continuously"
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}
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}
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