# CapitalR

## Functions

##### Annuity Loan Calculation

Calculates the payment, present value, future value, rate, or the number of periods

$$annuity(type = "pmt", pv = -2000, fv = 0, n = 4 * 12, r = 0.06/12, end = TRUE)$$

• type Select the loan parameter to return:
• "pmt" Periodic Payment
• "pv" Present Value
• "fv" Future Value
• "nper" Number of Periods
• "rate" Rate
• r Periodic Rate
• n Number of Periods
• end Logical. If FALSE payments are made at the beginning of the period
##### Interest Payment

Calculates the interest portion of the periodic payment at period “x”

$$ipmt(pv = 20000, fv = 0, n = 5 * 12, r = 0.05/12, x = 12, end = TRUE)$$

• pv Present Value
• fv Future Value
• r Periodic Rate
• n Number of Periods
• x Period
• end Logical. If FALSE payments are made at the beginning of the period
##### Principal Payment

Calculates the principal portion of the periodic payment at period “x”

$$ppmt(pv = 20000, fv = 0, n = 5 * 12, r = 0.05/12, x = 12, end = TRUE)$$

• pv Present Value
• fv Future Value
• r Periodic Rate
• n Number of Periods
• x Period
• end Logical. If FALSE payments are made at the beginning of the period
##### Amortization Schedule

Returns the loan amortization schedule

$$schedule(r = 0.06/12, n = 10 * 12, pv = -5000, fv = 0, end = TRUE)$$

• pv Present Value
• fv Future Value
• r Periodic Rate
• n Number of Periods
• end Logical. If FALSE payments are made at the beginning of the period
##### Amortization Schedule with Irregular Payments

Returns the loan amortization schedule with irregular payments

$$irregular(payments = c(0, 200, -100, 500), dates = c("2019-01-01", "2019-02-08", "2019-03-20", "2019-05-05"), apr = 0.05, pv = 2000, info = TRUE)$$

• payments Vector of payments, inital payment must be 0
• dates Vector of Dates in which payments take place
• apr Annual Percent Rate
• pv Present Value
• info Logical. If set to ‘TRUE’, information about the dataframe arrangement will be printed
##### Present Value

$$pv(fv = 20000, n = 5 * 12, r = 0.08 / 12)$$

• fv Future Value
• n Number of Periods
• r Discount Rate
##### Future Value

$$fv(pv = 20000, n = 5 * 12, r = 0.08 / 12)$$

• pv Present Value
• n Number of Periods
• r Discount Rate
##### Geometric Mean Return

Computes the geometric mean return of a vector of periodic returns in decimal form

$$geometric(c(0.20, 0.05, -0.50, 0.75, 0.25))$$

##### Return Calculation

Calculates the periodic return, supply a vector of numerical asset prices

$$r.calc(c(80, 65, 70, 75, 90, 105))$$