From: Valuing options to renew at future market value: the case of commercial property leases
R | Initial rental payment |
P | Initial property price of office with a lease |
\(T_{1}/T_{2}\) | Expected transaction costs for a renewal lease/new lease for the landlord at the end of Lease 1 |
\(S_{1}/S_{2}/S_{3}\) | Expected transaction costs for a renewal lease/new lease/office purchase by the tenant at the end of Lease 1 |
\(E\left( R \right)\) | Expected rental payment of a lease (renewed or new) at the end of Lease 1 |
V | Expected vacancy costs in one period between two consecutive contracts |
W | Expected vacancy period/waiting time between the two consecutive contracts |
\(E\left( {r_{1} } \right)\)/\(E\left( {r_{2} } \right)\) | Expected opportunity cost of capital invested by tenant/landlord in the office asset |
\(E\left( d \right)\) | Expected depreciation rate of the office |
π | Expected capital investment (property price) in the office at the end of Lease 1 |
\(q_{1}/q_{2}\) | Tenant’s probability to purchase under the influence of market risk with a renewal option/no renewal option |
\(q_{3}\) | Tenant’s probability to renew under the influence of private risks |
\(q_{4}\) | Probability of renewal faced by the landlord (to estimate payoffs with the option) |
\(ECO/ECL_{1}/ECL_{2}\) | Expected equivalent user cost of owning/leasing for the renewed lease/leasing for the new lease at the end nodes of the tenant’s decision tree |
ECE | Expected certainty equivalent; equivalent payoffs that are projected from ECL1 and ECL2 |
EPL1/EPL2 | Expected equivalent rental income from renewal/a new lease at the end nodes of the decision tree for the landlord |