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Question on how to get this solution, see comments below and THX! Effective cost of trade...

Question on how to get this solution, see comments below and THX!

Effective cost of trade credit = [(1 + 0.0101)^(365 / 45)] - 1

                                                  = [(1.0101)^(365/45)] - 1

                                                 = [(1.0101)^8.11] - 1-------what is this symbol mean? multiple the two or how do I get 1.0849?

                                                 = 1.0849 -1

                                                 = 0.0849 or 8.49%

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Answer #1

Explanation:

Effective cost of trade credit = [(1 + 0.0101) ^ (365 / 45)] - 1

                                                   = [(1.0101) ^ (365/45)] - 1

                                                   = [(1.0101) ^8.11] – 1

The symbol ^ means power to; for example 5^3 means 5 power to 3 or 5 multiplied three times in following manner

5^3 = 5 * 5 *5 = 125

Similarly [(1.0101) ^8.11] means 1.0101 power to 8.11

To calculate the value of [(1.0101) ^8.11] you can use calculator where you have to write 1.0101 then press symbol ^ and write 8.11, you will get 1.0849.

Or you can use excel in following manner

1.0101 8.11 1.0849

Therefore,

Effective cost of trade credit = 1.0849 -1

= 0.0849 (decimal form) to convert in in percentage for you have to multiply it with 100 therefore 0.0849 * 100 = 8.49%

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