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Case 2.1: Divya Handtools Pvt. Ltd.

Capacity expansion
    Year          NCF           PVF       PV, 14%
             0        -250         1.000      -250.0
             1           45        0.877        39.5
             2           45        0.769        34.6
             3           45        0.675        30.4
             4           68        0.592        40.3
             5           68        0.519        35.3
             6           68        0.456        31.0
             7           68        0.400        27.2
             8           68        0.351        23.8
             9           30        0.308         9.2
           10            85        0.270        22.9
NPV                                             44.2
Year 10 cash flows include salvage value.
Minimum savings each year from replacement
Cash outlay (Rs million)                          50
Life (years)                                      10
PVFA 14%, 10                                 5.2161
Annuity (annual savings, Rs mn)                  9.6 capital recovery

Annual instalment of SBI loan
Amount (Rs million)                                  200
Interest rate                                      14%
Period (years)                                        10
PVFA 14%, 10                                     5.2161
Annual instalment (Rs mn)                           38.3

Payment at maturity - SBI loan
Amount (Rs million)                                 200
Interest rate                                      14%
Period (years)                                       10
Future value factor                              3.7072
Single payment (future value)                     741.4

Quarterly instalment - FI loan
Amount (Rs million)                                200
Annual interest rate                           13.50%
Quarterly rate                                 3.375%
Quarterly periods                                   40
PVFA 3.375%, 40                                21.7754
Quarterly instalment (Rs mn)                        9.2

The company should borrow from FI since the the annual interest rate is lower.                     1
                                                                                                   2
Lease                                                                                              3
Amount (Rs million)                                               300                              4
Period (years)                                                     10                              5
Lease rental (beginning of the year)                               52                              6
PVFA of annuity due (13.5%)                                     6.038                              7
Value of lease rentals                                          314.0                              8

The value of lease rentals is higher than the amount of borrowing (Rs 300 million).   Int. rate -half-yearly
Hence, borrowing is cheaper than leasing                                              Period
                                                                                                  20
                                                                                                  20
9%               12%                6%
                   120    0.917    110.09   0.893    107.14   0.943    113.21
                   120    0.842    101.00   0.797     95.66   0.890    106.80
                   120    0.772     92.66   0.712     85.41   0.840    100.75
                   120    0.708     85.01   0.636     76.26   0.792     95.05
                   120    0.650     77.99   0.567     68.09   0.747     89.67
                   120    0.596     71.55   0.507     60.80   0.705     84.60
                   120    0.547     65.64   0.452     54.28   0.665     79.81
                  1120    0.502    562.09   0.404    452.35   0.627    702.70
                                  1166.04           1000.00           1372.59
Int. rate -half-yearly          3%             3%             4%
                Cash flow PVF      PV       PVF   PV       PVF   PV
                          60 15.589 935.35 14.877 892.65 13.590 815.42
                       1,000  0.610 610.27 0.567 567.43 0.476 476.11
                                    1545.62        1460.08        1291.53

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financial management notes

  • 1. Case 2.1: Divya Handtools Pvt. Ltd. Capacity expansion Year NCF PVF PV, 14% 0 -250 1.000 -250.0 1 45 0.877 39.5 2 45 0.769 34.6 3 45 0.675 30.4 4 68 0.592 40.3 5 68 0.519 35.3 6 68 0.456 31.0 7 68 0.400 27.2 8 68 0.351 23.8 9 30 0.308 9.2 10 85 0.270 22.9 NPV 44.2 Year 10 cash flows include salvage value. Minimum savings each year from replacement Cash outlay (Rs million) 50 Life (years) 10 PVFA 14%, 10 5.2161 Annuity (annual savings, Rs mn) 9.6 capital recovery Annual instalment of SBI loan Amount (Rs million) 200 Interest rate 14% Period (years) 10 PVFA 14%, 10 5.2161 Annual instalment (Rs mn) 38.3 Payment at maturity - SBI loan Amount (Rs million) 200 Interest rate 14% Period (years) 10 Future value factor 3.7072 Single payment (future value) 741.4 Quarterly instalment - FI loan Amount (Rs million) 200 Annual interest rate 13.50% Quarterly rate 3.375% Quarterly periods 40 PVFA 3.375%, 40 21.7754 Quarterly instalment (Rs mn) 9.2 The company should borrow from FI since the the annual interest rate is lower. 1 2 Lease 3 Amount (Rs million) 300 4 Period (years) 10 5 Lease rental (beginning of the year) 52 6 PVFA of annuity due (13.5%) 6.038 7 Value of lease rentals 314.0 8 The value of lease rentals is higher than the amount of borrowing (Rs 300 million). Int. rate -half-yearly Hence, borrowing is cheaper than leasing Period 20 20
  • 2. 9% 12% 6% 120 0.917 110.09 0.893 107.14 0.943 113.21 120 0.842 101.00 0.797 95.66 0.890 106.80 120 0.772 92.66 0.712 85.41 0.840 100.75 120 0.708 85.01 0.636 76.26 0.792 95.05 120 0.650 77.99 0.567 68.09 0.747 89.67 120 0.596 71.55 0.507 60.80 0.705 84.60 120 0.547 65.64 0.452 54.28 0.665 79.81 1120 0.502 562.09 0.404 452.35 0.627 702.70 1166.04 1000.00 1372.59 Int. rate -half-yearly 3% 3% 4% Cash flow PVF PV PVF PV PVF PV 60 15.589 935.35 14.877 892.65 13.590 815.42 1,000 0.610 610.27 0.567 567.43 0.476 476.11 1545.62 1460.08 1291.53