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bonufazy [111]
3 years ago
11

Trade credit and discounts are important strategies used by firms in the daily operations of their business. Calculate the cost

of a firm's trade credit in each of the following situations (answers should be carried out to 2 decimal points, e.g. 35.78%, not 35% or 36% !) a) 2/12, Net 32 b) 3/15, Net 36 c) 2.5/18, Net 35 d) 2.25/20, Net 38
Business
1 answer:
Olegator [25]3 years ago
5 0

Answer:

When a discount is given as 2/12, Net 32, it means that the customer is allowed a 2% discount if they pay off their purchase in 12 days. If they don't, they would have to pay off the full amount in 32 days.

The Cost of a firm's credit is calculated by the formula:

= Discount %/ ( 100% - Discount %) * (360/Allowed payment days - Discount days)

a. 2 / 12, Net 32

= (2%/ (100 - 2% )) * (360 / (32 - 12))

= 36.73%

b) 3/15, Net 36

= (3%/ (100 - 3% )) * (360 / (36 - 15))

= 53.02%

c) 2.5/18, Net 35

= (2.5%/ (100 - 2.5% )) * (360 / (35 - 18))

= 54.30%

d) 2.25/20, Net 38

= (2.25%/ (100 - 2.25% )) * (360 / (38 - 20))

= 46.04%

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Ans. The annuity that will be equivalent to the publisher´s advance would be $26.40 per year, for 9 years at 7% interest rate.

Explanation:

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Where: r is our discount rate (7%) and n the periods from now when she will receive that $500 amount. This should look like this.

PresentValue=\frac{500}{(1+0.07)^{9} } =271.97

Ok, so the equivalent amount of money today of those $500 in nine years is $271.97, but the author wants $100 today so the remaining amount has to be used to find the equal annual payments to be made in order to be equivalent to re remaining balance ($171.97). We now need to use the following equation.

Present Value=\frac{A((1+r)^{n}-1 )}{r(1+r)^{n} }

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171.97=\frac{A((1+0.07)^{9}-1 )}{0.07(1+0.07)^{9} }

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Therefore, the equivalent amount of money of $500 in 9 years is $100 today and $26.40 every year, at the end of the year, for nine years.

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