Question

Investment X offers to pay you $4,020 per year for 12 years, whereas Investment Y offers to pay you $2,041 per year for 7 years. How much higher is the present value investment X if the discount rate is 11 percent? Round to nearest whole number.

Answer 1

Answer:

$16,481.68

Explanation:

Note that the present value of each yearly cash inflow can be determined using the formula provided below:

PV of cash inflow=cash inflow/(1+discount rate)^n

n is the year in which the cash inflow is expected, it is 1 for year 1 cash inflow, 2 for year 2 and so on.

PV of Investment X=$4,020/(1+11%)^1+$4,020/(1+11%)^2+$4,020/(1+11%)^3+$4,020/(1+11%)^4+$4,020/(1+11%)^5+$4,020/(1+11%)^6+$4,020/(1+11%)^7+$4,020/(1+11%)^8+$4,020/(1+11%)^9+$4,020/(1+11%)^10+$4,020/(1+11%)^11+$4,020/(1+11%)^12

PV of investment X=$26,099.27

PV of investment Y=$2,041/(1+11%)^1+$2,041/(1+11%)^2+$2,041/(1+11%)^3+$2,041/(1+11%)^4+$2,041/(1+11%)^5+$2,041/(1+11%)^6+$2,041/(1+11%)^7

PV of investment Y=$9,617.59  

the difference in PV=$26,099.27-$9,617.59

the difference in PV=$16,481.68