JJJ is renting a storefront. The lease is for 6 years, and the monthly rent is $3,000 until the lease ends. The first payment is due today. Calculate the present value of the entire stream of payments if the APR is 8%, continuously compounded.

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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JJJ is renting a storefront. The lease is for 6 years, and the monthly rent is $3,000 until the lease ends. The first payment is due today. Calculate the present value of the entire stream of payments if the APR is 8%, continuously compounded.

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Step 1

In the above question to calculate the present value of payments we will use Present value function in excel. Just simply type =PV in excel to start the function

Formula:

=PV(Rate,nper,pmt,fv)

Rate=8%/12 (Annual rate of return)

We will divide rate by 12 as we are compounding monthly.

Nper=6*12 (Number of years)

We will multiply Years with 12 as we are compounding monthly and need value in months

Pmt=3000 (Given) (Monthly payments)

(we will not divide it by 12 as we are already given monthly payments)

fv=0 (not given)

 

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