Conceptual Overview: Explore the amount $1 is discounted for different compound interest rates across time. The graph shows the discounted value of $1 over time. Move the slider to change the compound interest rate and observe how the curve for the present value of S1 changes. The red dotted cursor lines show the present value of $1 at a specific time period in the future. Drag on the graph to select different time periods PVN = FV (1+/) (1+0.050)30 = $0.86 Present Value of $1 10 0.0 08 0.6 04 02 18 20 00 10 12 Periods 1. What is the present value of $1 due in 3 years when the discount interest rate is 10%? . $1.33 b. $1.00 C. $0.75 d. 30.10 2. How much is each 51 due in 14 years at a discount rate of 5% worth today? a $0.86 b. 50.51 c. $1.98 d. $1.00 Select 3. Bond long will pay $1 in 20 years with a discount interest rate of 5% and Bond Short will pay 51 in 5 years with a discount interest rate of 10% which bond as the higher present value a Long greater than Short b. Short greater than Long c. Long and short have same present value d. Not enough information to determine Save Continue PVN = F x = (1 + x = (1 +0.100)* = $0.75 1.33 Present Value of $1 0.8- 0.75 0.6 04 02 16 14 12 8 10 18 20 Periods 0.0 0 %Inte10 20 10 PVN = FVN = (1 + x = (1+0.050)30 = 1.16 = $0.86 Present Value of $1 0.86 0.8 0.6 0.4 0.2 16 14 12 10 18 20 Periods 8 0.0 0 2 3 %Int=5 20 10 0