College of Business and Public Administration

FINANCIAL CALCULATIONS

Try A Few Financial Calculations

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Compound Interest

Amount: A = P*(1 + r)n
Eff. Rate: ER = (1 + r)n - 1
where P = principal, r = interest per period, n = no. of periods

Principal ($)
Annual Rate of Interest (%)
No. of periods per year
Years



Amount ($)
Effective Annual Rate (%)

 

Mortgage Payments

Monthly Payment: R = P * r / (1 - (1 + r)-n)
Debt Balance after K payments: D = P * (1 + r)k - R * ((1 + r)k - 1)/r)
where P = principal, r = interest rate per period, n = no. of periods, k = no. of payments

Principal ($)
Annual Rate of Interest (%)
Years
K = No. of Payments



Monthly Payment ($)
Debt after K payments ($)

 

Accelerating Mortgage Payments

Want to pay more than the monthly payment shown...
See how many months it takes to pay off the mortgage

n = ln[x/(x - Pr)] / ln (1 + r)

Principal ($)
Annual Rate of Interest (%)
Monthly Payment ($)



No. of Payments

 

Future Value of an Annuity

Future Value: FV = R * ((1 + r)n - 1)/r)
where R = payment, r = rate of interest, and n = no. of payments

Amount of the Periodic Payment ($)
Interest rate per Period (%)
Number of Payments



Future Value of Annuity ($)

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