I need help in solving this question below. Thanks Investment X offers to pay yo
ID: 2640488 • Letter: I
Question
I need help in solving this question below.
Thanks
Investment X offers to pay you $5,400 per year for seven years, whereas Investment Y offers to pay you $7,500 per year for four years. Calculate the present value for Investment X and Y if the discount rate is 6 percent. (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)) Present value Investment Investment Calculate the present value for Investment X and Y if the discount rate is 16 percent. (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)) Present value InvestmentExplanation / Answer
Present value of annuity
PV = C * [1-(1+i)^-n]/i
where
C = savings per period
i = interest rate per period
n = number of periods
a)
present value of investment X = 5400 * [1-(1+6%)^-7]/6%
= $30,144.86
present value of investment Y = 7500 * [1-(1+6%)^-4]/6%
= $25,988.29
b)
at 16% discount rate
present value of investment X = 5400 * [1-(1+16%)^-7]/16%
= $21,808.25
present value of investment Y = 7500 * [1-(1+16%)^-4]/16%
= $20986.36
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