Description Usage Arguments Details Value Note Author(s) See Also Examples
Solves for either the number of payments, the payment amount, or the amount of a loan. The payment amount, interest paid, principal paid, and balance of the loan are given for a specified period.
1 |
Loan |
loan amount |
n |
the number of payments/periods |
pmt |
value of level payments |
i |
nominal interest rate convertible ic times per year |
ic |
interest conversion frequency per year |
pf |
the payment frequency- number of payments per year |
t |
the specified period for which the payment amount, interest paid, principal paid, and loan balance are solved for |
Effective Rate of Interest: eff.i=(1+\frac{i}{ic})^{ic}-1
j=(1+eff.i)^{\frac{1}{pf}}-1
Loan=pmt*{a_{≤ft. {\overline {\, n \,}}\! \right |j}}
Balance at the end of period t: B_t=pmt*{a_{≤ft. {\overline {\, n-t \,}}\! \right |j}}
Interest paid at the end of period t: i_t=B_{t-1}*j
Principal paid at the end of period t: p_t=pmt-i_t
Returns a matrix of input variables, calculated unknown variables, and amortization figures for the given period.
Assumes that payments are made at the end of each period.
One of n, pmt, or Loan must be NA (unknown).
If pmt is less than the amount of interest accumulated in the first period, then the function will stop because the loan will never be paid off due to the payments being too small.
If the pmt is greater than the loan amount plus interest accumulated in the first period, then the function will stop because one payment will pay off the loan.
t cannot be greater than n.
Kameron Penn and Jack Schmidt
1 2 3 4 5 | amort.period(Loan=100,n=5,i=.01,t=3)
amort.period(n=5,pmt=30,i=.01,t=3,pf=12)
amort.period(Loan=100,pmt=24,ic=1,i=.01,t=3)
|
Amortization
Loan 100.00000
PMT 20.60398
Eff Rate 0.01000
Years 5.00000
At Time 3: 3.00000
Int Paid 0.60596
Princ Paid 19.99802
Balance 40.59798
Amortization
Loan 149.627429
PMT 30.000000
Eff Rate 0.010000
i^(12) 0.009954
Periods 5.000000
Years 0.416667
At Time 3: 3.000000
Int Paid 0.074535
Princ Paid 29.925465
Balance 59.925424
Amortization
Loan 100.000000
PMT 24.000000
Eff Rate 0.010000
Years 4.277206
At Time 3: 3.000000
Int Paid 0.537700
Princ Paid 23.462300
Balance 30.307700
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