Investment X offers to pay you $5,500 per year for 9 years, whereas Investment Y offers to pay...
Question:
Investment X offers to pay you $5,500 per year for 9 years, whereas Investment Y offers to pay you $7,900 per year for 5 years. If the discount rate is 5 percent, what is the present value of these cash flows? If the discount rate is 15 percent, what is the present value of these cash flows?
Computing for the Present Value of Cash Flows:
Present value is the current value of a future some of money computed using a specified rate of return. It is the amount that we will invest today to get the desired future amount. It is necessarily lower than the future amount as we take into account the time value of money. The value of money received today is worth more than the value received in the future as that amount can be invested and earn interest.
Answer and Explanation: 1
Present value of cash flows is computed as: (Cashflow x (1-(1+i)^-n))/i
Investment X
if discount rate is 5%:
PV = (Cashflow x (1-(1+i)^-n))/i
PV = $5,500 x (1-(1.05)^(-9))/ 0.05
PV = $39,093.02
if discount rate is 15%:
PV = (Cashflow x (1-(1+i)^-n))/i
PV = $5,500 x (1-(1.15)^(-9))/ 0.15
PV = $26,243.71
Investment Y
if discount rate is 5%:
PV = (Cashflow x (1-(1+i)^-n))/i
PV = $7,900 x (1-(1.05)^(-9))/ 0.05
PV = $56,151.79
if discount rate is 15%:
PV = (Cashflow x (1-(1+i)^-n))/i
PV = $7,900 x (1-(1.15)^(-9))/ 0.15
PV = $37,695.51
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Chapter 6 / Lesson 1The value of investments changes over time, and this can be applied to multiple cash flows. Identify how to calculate both the present and future values applied specifically to cash flows.
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