Deferred Perpetuity PV

Exercise ID: tvm-real-013

Exam TrapsUneven Cash Flows

Description

An investment pays $1,000 per year forever, with the first payment occurring 4 years from today. Discount rate is 5%. Calculate PV.

Given Values

N
3
I/Y
5%
PMT
0
FV
20000
PV
0

Objective

Calculate PV


Steps

Total 10 steps

Step 1:Clear TVM Registers

💡 Always clear TVM before starting a new problem.

Key Sequence:

2ndFV

Before Key Press:

0.00

After Key Press:

0.00

1500ms

Step 2:Input N = 3

Key Sequence:

3

Before Key Press:

0.00

After Key Press:

3

1200ms

Step 3:Store in N

Key Sequence:

N

Before Key Press:

3

After Key Press:

N=3.00

1000ms

Step 4:Input I/Y = 5

Key Sequence:

5

Before Key Press:

N=3.00

After Key Press:

5

1200ms

Step 5:Store in I/Y

Key Sequence:

I/Y

Before Key Press:

5

After Key Press:

I/Y=5.00

1000ms

Step 6:Input PMT = 0

Key Sequence:

0

Before Key Press:

I/Y=5.00

After Key Press:

0

1200ms

Step 7:Store in PMT

Key Sequence:

PMT

Before Key Press:

0

After Key Press:

PMT=0.00

1000ms

Step 8:Input FV = 20000

Key Sequence:

20000

Before Key Press:

PMT=0.00

After Key Press:

20000

2000ms

Step 9:Store in FV

Key Sequence:

FV

Before Key Press:

20000

After Key Press:

FV=20000.00

1000ms

Step 10:Compute PV

Key Sequence:

CPTPV

Before Key Press:

FV=20000.00

After Key Press:

PV=-17276.75

1500ms

Calculator Display
0.00
Speed:← →
💡 Press Space to quickly pause/play
⚠️ Common Mistakes and Traps
  • 1.Discounting back 4 years instead of 3 (Perpetuity formula gives value at t-1)
  • 2.Using N=infinity (not possible on calculator)
  • 3.Forgetting the two-step process

(Expand the sections to view answers and common mistakes before printing.)

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