Enter the periodic payment amount, discount rate, and lease term into the calculator to determine the present value of lease payments.
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PV of Lease Formula
The following equation is used to calculate the PV of a lease.
PV = PMT * (1 - (1 + r)^(-n)) / r
- Where PV is the present value of the lease ($)
- PMT is the periodic payment ($)
- r is the discount rate (decimal)
- n is the total number of payments
To calculate the present value of a lease, discount each future payment to its current worth using the formula above.
What is a PV of Lease?
Definition:
PV of a Lease typically refers to the total value in today’s dollars of all the future lease payments owed over the course of a lease agreement. It helps illustrate the true cost of the lease when factoring in the time value of money.
How to Calculate PV of Lease?
Example Problem:
The following example outlines the steps and information needed to calculate the PV of a Lease.
First, determine the periodic payment. In this example, the payment amount is $300 per month.
Next, determine the discount rate (annual) and convert if needed. Suppose the monthly discount rate is 0.5% (r = 0.005). Also, determine the number of monthly payments (n). Let’s say there are 36 monthly payments.
Finally, calculate the PV of the lease using the formula above:
PV = PMT × (1 – (1 + r)-n) / r
PV = $300 × (1 – (1 + 0.005)-36) / 0.005
PV ≈ $9,977.56
FAQ
What factors influence the PV of a lease?
The present value of a lease is influenced by the periodic payment amount, the number of payments, and the discount rate. A higher discount rate reduces the present value, while a larger or more frequent payment schedule increases it.
Is the PV of a lease the same as the total lease cost?
The present value of a lease is not exactly the same as the total payments. It represents the sum of those payments adjusted back to today’s dollars, illustrating the true economic cost when accounting for the time value of money.
How can I reduce the PV of my lease?
Reducing the number of payments, lowering the payment amount, or securing a lower discount rate (through better credit or market conditions) will decrease the present value of the lease. Negotiating favorable terms and being mindful of interest rates and fees can also help.