Round Industrial

Apr

by Charlotte

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Can someone help me do this consumer math problem?

Background:
McCabe Industrial Corp. borrowed $795,000 for an upgrade of its plant, borrowing the money at 8.8% compounded daily for 6 years. McCabe is not required to make any payments to the lender until maturity, but is required to set up a sinking fund for the purpose of accumulating the loan's maturity value.

This is what's required.

Required:
If they make quarterly deposits into an account earning 4%, how much should each payment be? (Round your answer to 2 decimal places.)
I don't have any idea how to work out this problem. So a step by step would be really nice.

Assuming that the interest bearing account is compounding interest at the same daily basis as the debt, we can use a net interest rate of 4.8%. Using A = P(1 + r/n)^n(t) yields a total due at the end of 6 years as $1,037,335.78 In 24 quarterly installments paid into the account of $43,222.32 assuming that the first payment into the account is made immediately.

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