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Your firm sells for cash only; but it is thinking of offering credit, allowing c

ID: 2774840 • Letter: Y

Question

Your firm sells for cash only; but it is thinking of offering credit, allowing customers 90 days to pay. Customers understand the time value of money, so they would all wait and pay on the 90th day. To carry these receivables, you would have to borrow funds from your bank at a nominal 8%, daily compounding based on a 360-day year. You want to increase your base prices by exactly enough to offset your bank interest cost. To the closest whole percentage point, by how much should you raise your product prices?

Explanation / Answer

Solution.

Total interest on borrow fund = $1,099.43

P.V of intrest  $1,099.43 x .0993 = 109.17       

increase your base prices by = $109.17.      

                 

Day principle Rate Interest Amount 1 $1 8.00% $               0.08 $                 1.08 2 $                1.08 8.00% $               0.09 $                 1.17 3 $                1.17 8.00% $               0.09 $                 1.26 4 $                1.26 8.00% $               0.10 $                 1.36 5 $                1.36 8.00% $               0.11 $                 1.47 6 $                1.47 8.00% $               0.12 $                 1.59 7 $                1.59 8.00% $               0.13 $                 1.71 8 $                1.71 8.00% $               0.14 $                 1.85 9 $                1.85 8.00% $               0.15 $                 2.00 10 $                2.00 8.00% $               0.16 $                 2.16 11 $                2.16 8.00% $               0.17 $                 2.33 12 $                2.33 8.00% $               0.19 $                 2.52 13 $                2.52 8.00% $               0.20 $                 2.72 14 $                2.72 8.00% $               0.22 $                 2.94 15 $                2.94 8.00% $               0.23 $                 3.17 16 $                3.17 8.00% $               0.25 $                 3.43 17 $                3.43 8.00% $               0.27 $                 3.70 18 $                3.70 8.00% $               0.30 $                 4.00 19 $                4.00 8.00% $               0.32 $                 4.32 20 $                4.32 8.00% $               0.35 $                 4.66 21 $                4.66 8.00% $               0.37 $                 5.03 22 $                5.03 8.00% $               0.40 $                 5.44 23 $                5.44 8.00% $               0.43 $                 5.87 24 $                5.87 8.00% $               0.47 $                 6.34 25 $                6.34 8.00% $               0.51 $                 6.85 26 $                6.85 8.00% $               0.55 $                 7.40 27 $                7.40 8.00% $               0.59 $                 7.99 28 $                7.99 8.00% $               0.64 $                 8.63 29 $                8.63 8.00% $               0.69 $                 9.32 30 $                9.32 8.00% $               0.75 $               10.06 31 $              10.06 8.00% $               0.81 $               10.87 32 $              10.87 8.00% $               0.87 $               11.74 33 $              11.74 8.00% $               0.94 $               12.68 34 $              12.68 8.00% $               1.01 $               13.69 35 $              13.69 8.00% $               1.10 $               14.79 36 $              14.79 8.00% $               1.18 $               15.97 37 $              15.97 8.00% $               1.28 $               17.25 38 $              17.25 8.00% $               1.38 $               18.63 39 $              18.63 8.00% $               1.49 $               20.12 40 $              20.12 8.00% $               1.61 $               21.72 41 $              21.72 8.00% $               1.74 $               23.46 42 $              23.46 8.00% $               1.88 $               25.34 43 $              25.34 8.00% $               2.03 $               27.37 44 $              27.37 8.00% $               2.19 $               29.56 45 $              29.56 8.00% $               2.36 $               31.92 46 $              31.92 8.00% $               2.55 $               34.47 47 $              34.47 8.00% $               2.76 $               37.23 48 $              37.23 8.00% $               2.98 $               40.21 49 $              40.21 8.00% $               3.22 $               43.43 50 $              43.43 8.00% $               3.47 $               46.90 51 $              46.90 8.00% $               3.75 $               50.65 52 $              50.65 8.00% $               4.05 $               54.71 53 $              54.71 8.00% $               4.38 $               59.08 54 $              59.08 8.00% $               4.73 $               63.81 55 $              63.81 8.00% $               5.10 $               68.91 56 $              68.91 8.00% $               5.51 $               74.43 57 $              74.43 8.00% $               5.95 $               80.38 58 $              80.38 8.00% $               6.43 $               86.81 59 $              86.81 8.00% $               6.94 $               93.76 60 $              93.76 8.00% $               7.50 $             101.26 61 $            101.26 8.00% $               8.10 $             109.36 62 $            109.36 8.00% $               8.75 $             118.11 63 $            118.11 8.00% $               9.45 $             127.55 64 $            127.55 8.00% $            10.20 $             137.76 65 $            137.76 8.00% $            11.02 $             148.78 66 $            148.78 8.00% $            11.90 $             160.68 67 $            160.68 8.00% $            12.85 $             173.54 68 $            173.54 8.00% $            13.88 $             187.42 69 $            187.42 8.00% $            14.99 $             202.41 70 $            202.41 8.00% $            16.19 $             218.61 71 $            218.61 8.00% $            17.49 $             236.09 72 $            236.09 8.00% $            18.89 $             254.98 73 $            254.98 8.00% $            20.40 $             275.38 74 $            275.38 8.00% $            22.03 $             297.41 75 $            297.41 8.00% $            23.79 $             321.20 76 $            321.20 8.00% $            25.70 $             346.90 77 $            346.90 8.00% $            27.75 $             374.65 78 $            374.65 8.00% $            29.97 $             404.63 79 $            404.63 8.00% $            32.37 $             437.00 80 $            437.00 8.00% $            34.96 $             471.95 81 $            471.95 8.00% $            37.76 $             509.71 82 $            509.71 8.00% $            40.78 $             550.49 83 $            550.49 8.00% $            44.04 $             594.53 84 $            594.53 8.00% $            47.56 $             642.09 85 $            642.09 8.00% $            51.37 $             693.46 86 $            693.46 8.00% $            55.48 $             748.93 87 $            748.93 8.00% $            59.91 $             808.85 88 $            808.85 8.00% $            64.71 $             873.56 89 $            873.56 8.00% $            69.88 $             943.44 90 $            943.44 8.00% $            75.48 $         1,018.92 91 $        1,018.92 8.00% $            81.51 $         1,100.43 $      1,099.43
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