Question

Knowledge Check 01 A friend asks to borrow $635.52 today and promises to repay you $1,000 with interest compounded annually a
TABLE 1 Future Value of $1 FV = $1(1+ 6.09 7.016 8.09 9.04 10.096 12.096 20.096 1.06000 1.12360 1.19102 1.07000 1.14490 1 ORD
TABLE 2 Present Value of $1 51 PV (1 w 1.044 1.594 20N 2.596 3.04 15 4.04 4.5 $.046 5.5 6,048 7209 8.04 9.046 10.046 11.09 12
TABLE 3 Future Value of an Ordinary Annuity of $1 (1+1) - 1 FVA 9.09 12.09 SI 4546 1.56 6.09 07 SE 09 1.544 5.54 1.0000 10000
TABLE 4 Present Value of an ordinary Annuity of $1 1 PVA 304 4,046 24 1.54 3.59 5.546 4.546 5.09 Lo 0.99010 3.04 097007 1 098
TABLES Future Value of an Annuity Due of $ FVAD X (1+0) 1.09 2.046 TAS 4,04 456 5.046 7.04 9.096 100% 12.09 20.045 1 10100 1.
TABLE 6 Present Value of an Annuity Due of $1 (1 PVAD X (1+1) 7.046 9.646 2.046 4.046 3048 1.596 3.596 5.046 1.00000 195238 6
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Answer #1

Amount of borrowed = $635.52

Amount to be paid in future = $1,000

Interest rate (i) = 12%

Time period (n) = ?

Amount of borrowed = Amount to be paid in future x Present value factor (12%, n)

635.52 = 1,000 x Present value factor (12%, n)

Present value factor (12%, n) = 0.63552

By looking at the Present value factor table, we can find that factor value 0.63552 at 12% interest rate lies in the row of 4 year.

Number of years = 4

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