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MS Office Forum / Excel / New Users / October 2007

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Need to solve for the total value of a commercial lease

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JasonConroy@gmail.com - 05 Oct 2007 17:00 GMT
I hope my grid below looks OK once it is posted.  I need a formula to
solve for cell G3.  I need a single cell formula to solve for the
total value of a commercial lease given the initial annual rent, the
rent increase percentage and how often (in years) that the rent is
increased.  Any ideas?

          A         B                 C           D
E                                    F              G
1
Total Value
2       Tenant   SF               $/SF   Term (yrs)      Increase
amount %       Every
X years          of Lease
3       Ross     30,000          7.00    10                 5%
2                         ???
Bernard Liengme - 05 Oct 2007 18:46 GMT
"Grid" never work well. Please confirm:
B3: 30,000 Swiss francs is the annual lease payment
C3: 7.00 converts SF to $US
D3: Is term of lease (10 years)
E3: Is the amount the lease will increase by (5%) and this will be
compounded, or you add 5% of initial payment every X years?
F3: The lease payment  will increase every x years (here every 2 years). So
in year 2 (or year 3 ?) the lease payment is 33,000? What is it in year 4 -

You want to know how much the lessee will part with over the life of the
lease?
Depending on how the questions are answered I get: 345,000SF, 347760SF,
375,000SF or 384621.3SF. Which (if any) is correct?

OR, (a bit more difficult) you want to know the present value of the lease?
In which case there are supplementary questions: (A) Is the payment made at
the start or the end of the year? (B) What value will be used for the bank
rate (the amount you could get on a savings deposit) during the life of the
lease?

best wishes
Signature

Bernard V Liengme
Microsoft Excel MVP
www.stfx.ca/people/bliengme
remove caps from email

>I hope my grid below looks OK once it is posted.  I need a formula to
> solve for cell G3.  I need a single cell formula to solve for the
[quoted text clipped - 11 lines]
> 3       Ross     30,000          7.00    10                 5%
> 2                         ???
JasonConroy@gmail.com - 05 Oct 2007 22:23 GMT
Thank you for your response!
SF in this case actually stands for square feet.  Lets just say that
the annual rent for the first year is C3.
C3:  $210,000 ($7*30,000).
D3:  10 years - Correct, term of lease
E3:  5% - Correct, this is the percentage that the lease amount
increases at the interval stated below.  This should be compounded.
F3:  2 years - Correct, this is the interval at which the increase
happens, in this case every 2 years.  In this example, the first
increase happens after 2 years (starts in year 3) and the next
increases start in years 5, 7, and 9.
G3:  This is where I would like a formula that comes up with the total
*undiscounted* value of the lease.  In this case the correct answer is
$2,320,765.

Here is the information that I am trying to capture in one cell:
Yr1   $210,000
Yr2   $210,000   0%incr
Yr3   $220,500   5%incr
Yr4   $220,500   0%incr
Yr5   $231,525   5%incr
Yr6   $231,525   0%incr
Yr7   $243,101   5%incr
Yr8   $243,101   0%incr
Yr9   $255,256   5%incr
Yr10 $255,256   0%incr
Total$2,320,765

I would like C3, D3, E3 and F3 to all be variables.
Thanks again for any help!

On Oct 5, 10:46 am, "Bernard Liengme" <blien...@stfx.TRUENORTH.ca>
wrote:
> "Grid" never work well. Please confirm:
> B3: 30,000 Swiss francs is the annual lease payment
[quoted text clipped - 41 lines]
> > 3       Ross     30,000          7.00    10                 5%
> > 2                         ???
Dana DeLouis - 06 Oct 2007 16:33 GMT
>  In this case the correct answer is $2,320,765.

Hi. Are you looking for something like this?

=(2*((ir + 1)^yr - 1)*s)/ir

where s = 210000, ir = 5%, and yr = 5.

Returns:  $2,320,765

Signature

HTH   :>)
Dana DeLouis
Windows XP & Excel 2007

> Thank you for your response!
> SF in this case actually stands for square feet.  Lets just say that
[quoted text clipped - 80 lines]
>> > 3       Ross     30,000          7.00    10                 5%
>> > 2                         ???
JasonConroy@gmail.com - 08 Oct 2007 16:49 GMT
Thank you so much Dana!
That formula does indeed work for those variables and I imagine it
would in every case where each increase interval is fully captured in
the term of the lease.  In this case, when I change the increase
interval to 3 years the formula produces a result that is $3,942.76
less than the matrix.  Any ideas for how to adjust the formula
eliminate that variance?

> >  In this case the correct answer is $2,320,765.
>
[quoted text clipped - 42 lines]
> > Yr10 $255,256   0%incr
> > Total$2,320,765
Dana DeLouis - 08 Oct 2007 22:42 GMT
Hi.  Are you looking at 3 groups of 3 payments over 9 years, plus a single
$243,101 in year 10 for a total of 2,229,176 ?  (10 Years stays constant)

Signature

Dana DeLouis

> Thank you so much Dana!
> That formula does indeed work for those variables and I imagine it
[quoted text clipped - 50 lines]
>> > Yr10 $255,256   0%incr
>> > Total$2,320,765
JasonConroy@gmail.com - 08 Oct 2007 23:40 GMT
Hi, Dana,
Yes, exactly as you described - $2,229,176.25 for 10 years.  Ideally,
the formula would work with any lease term and increase interval or
piece thereof provided in the variables.
Thanks again.

> Hi.  Are you looking at 3 groups of 3 payments over 9 years, plus a single
> $243,101 in year 10 for a total of 2,229,176 ?  (10 Years stays constant)
[quoted text clipped - 60 lines]
> >> > Yr10 $255,256   0%incr
> >> > Total$2,320,765
Dana DeLouis - 09 Oct 2007 03:21 GMT
Hi.  I think this should work:

s: 210000     'Start Value
ir: 0.05      'Interest Rate
years: 10    'Years
Grp: 3        'Groups

Ng =INT(years/Grp) 'Number of Groups
Rg =years-Grp*Ng   'Remaining Group

Fx =Grp*(((ir + 1)^Ng - 1)*s)/ir + Rg * (1 + ir)^Ng*s

= $2,229,176

Signature

HTH   :>)
Dana DeLouis
Windows XP & Excel 2007

> Hi, Dana,
> Yes, exactly as you described - $2,229,176.25 for 10 years.  Ideally,
[quoted text clipped - 69 lines]
>> >> > Yr10 $255,256   0%incr
>> >> > Total$2,320,765
Tyro - 05 Oct 2007 23:18 GMT
This array formula works for an increase in rent after 1 or 2 years. After
entering the formula, you must press Ctrl+Shift+Enter, not just enter.

G3: =(C3+SUM(C3*(1+E3)^ROW(INDIRECT("1:"&INT(D3/F3)-1))))*F3

I know Professor Liengme will come up with something better for other years.
I am no mathematician.

Tyro

P.S. (Tyro = beginner)

> C3:  $210,000 ($7*30,000).
> D3:  10 years - Correct, term of lease
[quoted text clipped - 7 lines]
>*undiscounted* value of the lease.  In this case the correct answer is
> $2,320,765.

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