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- d = (p r1 (1 + r1)^m r2 (1 + r2)^n)/
- (-r1 + (1 + r2)^n (r1 + (-1 + (1 + r1)^m) r2))
- d is the periodic payment
- p is the loan amount
- r1 is the periodic rate for the first m periods
- r2 is the periodic rate for the next n periods
- p = 100,000
- r1 = 0.03
- m = 2
- r2 = 0.04
- n = 3
- pv1 = d/(1 + r1)
- pv2 = d/((1 + r1) (1 + r1))
- pv3 = d/((1 + r1) (1 + r1) (1 + r2))
- pv4 = d/((1 + r1) (1 + r1) (1 + r2) (1 + r2))
- pv5 = d/((1 + r1) (1 + r1) (1 + r2) (1 + r2) (1 + r2))
- p = ((1 + r1)^-m (1 + r2)^-n (-d r1 +
- d (1 + r2)^n (r1 + (-1 + (1 + r1)^m) r2)))/(r1 r2)
- d = (p r1 (1 + r1)^m r2 (1 + r2)^n)/
- (-r1 + (1 + r2)^n (r1 + (-1 + (1 + r1)^m) r2))
- ∴ d = 22078.67
- p = 1,000,000
- r1 = (1 + 0.03)^(1/12) - 1 = 0.00246627
- m = 5*12 = 60
- r2 = (1 + 0.04)^(1/12) - 1 = 0.00327374
- n = (25 - 5)*12 = 240
- p = 1,000,000
- r1 = 0.03/12 = 0.0025
- m = 5*12 = 60
- r2 = 0.04/12 = 0.00333333
- n = (25 - 5)*12 = 240
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