Table B.1* Present Value of 1 \\[ p=1 /(1+i)^{n} \\] *Used to compute the present value of a known future amount. For example: How much would you need to invest today at \10 compounded semiannually to accumulate \\( \\$ 5,000 \\) in 6 years from today? Using the factors of \\( n=12 \\) and \i=5 (12 semiannual periods and a semiannual rate of \5 ), the factor is 0.5568 . You would need to invest \\( \\$ 2,784 \\) today (\\$5,000 \\( \\times \\) \\( 0.5568) \\) Table B.2tFuture Value of 1 \\[ f=(1+i)^{n} \\] the factors of \\( n=20 \\) and \i=2 quarterly periods and a quarterly interest rate of \2, the factor is 1.4859 . The accumulated value is \\( \\$ 4,457.70 \\) ( \\( \\$ 3,000 \\times 1.4859) \\). 3. Compute Project \\( Y \\) 's accounting rate of return. 4. Determine Project Y's net present value using \8 as the discount rate. (Do not round Intermedlate calculations. Round your present value factor to 4 decimals and final answers to the nearest whole dollar.) Required Information [The following information applies to the questlons displayed below.] Project \\( Y \\) requires a \\( \\$ 315,000 \\) Investment for new machinery wlth a five-year life and no salvage value. The project ylelds the following annual results. Cash flows occur evenly within each year. (PV of \\$1, FV of \\$1, PVA of \\$1, and FVA of \\$1) (Use approprlate factor(s) from the tables provided.) 2. DetermIne Project Y's payback perlod. Table B.3IPresent Value of an Annuity of 1 \\[ p=\\left[1-1 /(1+i)^{n}\ ight] / i \\] annual interest rate of \9 ? For \(n=10,i=9, the PV factor is 6.4177 . \\( \\$ 2,000 \\) per year for 10 years is the equivalent of \\( \\$ 12,835 \\) today (\\$2,000 \\( \\times 6.4177) \\). Table B.4Future Value of an Annuity of 1 \\[ f=\\left[(1+i)^{n}-1\ ight] / i \\] annual interest rate of \8 ? For \(n=6,i=8, the FV factor is 7.3359 . \\( \\$ 4,000 \\) per year for 6 years accumulates to \\( \\$ 29,343.60 \\) ( \\( \\$ 4,000 \\times 7.3359 \\) ). rs assuming an