Schrute Company leases an automobile with a fair value of $15,005 from Rainn, Inc., on the following terms: 1.   Non-cancelable term of 50 months. 2.   Rental of $300 per month (at the beginning of each month).  3.   Shrute guarantees a residual value of $1,800 (the present value at 0.5% per month is $1,403). The expected residual value is estimated to be $1,800 at the end of the lease term. 4.   Estimated economic life of the automobile is 60 months. 5.   Schrute’s incremental borrowing rate is 6% a year (0.5% a month). Rainn’s implicit rate is unknown. What is the present value of the lease payments to determine the lease liability? Present Value of an Annuity Due with 0.5% and 60 periods: 51.98419 Present Value of an Ordinary Annuity at 0.5% and 60 periods: 48.17337352 Present Value of an Annuity Due with 0.5% and 50 periods: 44.36350 Present Value of an Ordinary Annuity with 0.5% and 50 Periods:41.56644707

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Schrute Company leases an automobile with a fair value of $15,005 from Rainn, Inc., on the following terms:

1.   Non-cancelable term of 50 months.
2.   Rental of $300 per month (at the beginning of each month). 
3.   Shrute guarantees a residual value of $1,800 (the present value at 0.5% per month is $1,403). The expected residual value is estimated to be $1,800 at the end of the lease term.
4.   Estimated economic life of the automobile is 60 months.
5.   Schrute’s incremental borrowing rate is 6% a year (0.5% a month). Rainn’s implicit rate is unknown.

What is the present value of the lease payments to determine the lease liability?

Present Value of an Annuity Due with 0.5% and 60 periods: 51.98419

Present Value of an Ordinary Annuity at 0.5% and 60 periods: 48.17337352

Present Value of an Annuity Due with 0.5% and 50 periods: 44.36350

Present Value of an Ordinary Annuity with 0.5% and 50 Periods:41.56644707

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