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B.BCIN.V.23.WS23 Mathematics for Business and Economics ILV - 1

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A loan of € 800 000 should be repaid within 25 years. The payments should be always made at

the end of the year and the interest is 1% per annum.

Calculate

the residual debt after 10 years. Round to integer.

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A loan of €

300 000 should be repaid within 40 years. The payments should be always made at

the end of the year and the interest is 1% per annum.

Calculate the

interest in the third year. Round to integer.

Hint: Write

down the third line of the loan plan!

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A loan of €

500 000 should be repaid within 25 years. The payments should be always made at

the end of the year and the interest is 3% per annum.

Calculate the

yearly instalment. Round to two decimal places.

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You are facing two offers for selling your company:

Offer A: 1 Mio in 2 years, 1 Mio in 4 years.

Offer B: consists of 4 yearly payments, that are payed at the end of each year (first in one year). How much should these payments be in order to gain an equivalent offer to A? (i=3% p.a., round to EUR)

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You are facing two offers for selling your company:

Offer A: 1 Mio in 2 years, 1 Mio in 4 years.

Offer B: 1 Mio immediately, half a Million in 2 years and 1.2 Mio in 4 years.

What is the future value (in 4 years) of Offer B, if you calculate with an interest rate of 3% per year (round to EUR)?

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