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9. A person borrows $1000 to be repaid with two equal instalments, one in 6 months, the other at the end of 1 year. What will

ActSci Mathematics of Finance Equations of Value

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Answer #1

Let the size of each payment be "x".

(i) Focal date is 1 year hence: x[1+(0.08)(6/12)] + x = 1000[1+(0.08)(12/12)

or 2.04x = 1080

or x = $529.41

(ii) Focal date is today: x[1+(0.08)(6/12)]^(-1) + x[1+(0.08)(12/12)]^(-1) = 1000

or 1.8875x = 1000

or x = $529.81

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