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Loan Payment Formula Symbolic Formula in Excel Format Interpretation PMT = P*(r/n)/(1 - (1 + r/n)^(-n*t)) The amount PMT that must be paid n times
Loan Payment Formula | ||||||||
Symbolic Formula in Excel Format | Interpretation | |||||||
PMT = P*(r/n)/(1 - (1 + r/n)^(-n*t)) | The amount PMT that must be paid n times per year for t years to pay off a loan principal amount of P at an APR of r is given by the right-hand side of the formula. | |||||||
Sample problem: What is the monthly payment amount needed to pay off a loan principal amount of $10,000 over 4 years, given an interest rate of 7.3%? | ||||||||
Inputs: | Formatting instructions: | |||||||
P | r | n | t | Dollar amounts: format as Currency with 2 decimal places | ||||
$10,000.00 | 0.07% | 12 | 4 | Rate: format as Percentage with 1 decimal place | ||||
Application of the formula to the inputs: | Periods/Years: format at Number with 0 decimal places | |||||||
Inflation Rate Formula | ||||||||
Symbolic Formula in Excel Format | Interpretation | |||||||
IR = (new CPI - old CPI)/(old CPI) | Given an old CPI value at one point and a new CPI value n years later, the n-year inflation rate IR is given by the right-hand side of the formula. | |||||||
Sample problem: The CPI value in January 2009 was 211.143; the CPI value in January 2014 was 233.916. What was the 5-year inflation rate between January 2009 and January 2014? | ||||||||
Inputs: | Formatting instructions: | |||||||
CPI New | CPI Old | IR | n = | CPI values: format as Number with 3 decimal places | ||||
233.916 | 211.143 | 0.108 | 5 | Inflation rate: format as Percentage with 3 decimal places | ||||
Application of the formula to the inputs: |
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