ANNUITY GROWING ANNUITY Interest rate 0.02 Interest rate 0.02 Growth rate 0.01 Period Cash flow Period Cash flow 1 1000 1 1000 2 1000 2 1010 3 1000 3 1020.1 4 1000 4 1030.301 5 1000 5 1040.60401 PV CLASSICAL FORMULA 4713.459509 PV CLASSICAL FORMULA 4806.781618 PV ANNUITY FORMULA 4713.459509 PV ANNUITY FORMULA 4806.781618 PERPETUITY Interest rate 0.2 Period Cash flow PV PV perpetuity 1 1000 833.3333333 5000 2 1000 1527.777778 5000 3 1000 2106.481481 5000 4 1000 2588.734568 5000 5 1000 2990.61214 5000 6 1000 3325.510117 5000 7 1000 3604.591764 5000 8 1000 3837.159803 5000 9 1000 4030.966503 5000 10 1000 4192.472086 5000 11 1000 4327.060071 5000 12 1000 4439.216726 5000 13 1000 4532.680605 5000 14 1000 4610.567171 5000 15 1000 4675.472642 5000 GROWING PERPETUITY Interest rate 0.2 Growth rate 0.01 Period Cash flow PV PV grow. perpetuity 1 1000 833.3333333 5263.157895 2 1010 1534.722222 5263.157895 3 1020.1 2125.05787 5263.157895 4 1030.301 2621.923708 5263.157895 5 1040.60401 3040.119121 5263.157895 6 1051.01005 3392.10026 5263.157895 7 1061.520151 3688.351052 5263.157895 8 1072.135352 3937.695469 5263.157895 9 1082.856706 4147.560353 5263.157895 10 1093.685273 4324.19663 5263.157895 11 1104.622125 4472.865497 5263.157895 12 1115.668347 4597.995127 5263.157895 13 1126.82503 4703.312565 5263.157895 14 1138.09328 4791.954742 5263.157895 15 1149.474213 4866.561908 5263.157895 ##### Sheet/List 2 ##### Period Cash flows Discount rates for NPV profile NPV 0 -10000 0 1 3500 0.01 2 4000 0.02 3 4500 0.03 0.04 Interest rate 0.05 0.05 0.06 NPV 0.07 0.08 0.09 0.1 0.11 0.12 ##### Sheet/List 3 ##### Loan Interest rate N. of Periods Payment Total payment Total interests 10000 0.05 1 2 3 4 5 6 7 8 9 10