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Hi please help me with the problem below, make sure write down detailed steps, thank you!

Question 4 Lauren is repaying a loan of 100,000 using the sinking fund mcthod. At the end of cach ycar, she pays 7000 into a sinking fund earning 8%. At the end of 5 years, Lauren pays off the loan using the sinking fund plus an additional payment of X. Calculate X. Hint: 58,933.79

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Answer #1

The future value of sinking fund and X should equal loan principal

100000=7000/8%*(1.08^5-1)+X

=>X=100000-7000/8%*(1.08^5-1)

=>X=58933.79

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