How to calculate the interest rate of an investment with financing?

fabiospark

New Member
Joined
May 29, 2015
Messages
13
Think of a series of events like this:
- event 1: out cash flow to buy a 240k€ photovoltaic plant with my money (liquid) [event 1 = -240000€ | cell C1]
- event 2 to 21, one on each subsequent year: the PV plant gives me back 35k€ a year [event 2 =+35000€ | cell C2],........ [event n =+35000€ | cell C21]
- event 22: I spend 20k€ to get the PV plant dismantled [event 22 =-20000 | cell C22]

If I want to know the interest paid back by this investment I use the function TIR.COST(C1:C22,0.1) and I get something around 13%.

Now let's say I don't want to use my money to buy the PV so I get a loan from the bank at the interest rate of 5% for 20 years.
How can I calculate the interest paid back by the PV, considering also the financial costs of the loan, taking into account that yearly I will have
to pay back the bank with 18.000€?
Not being an expert, this is what I thought to do:
- event 1 (C1) = zero This is because the bank is paying the PV [C1 = 0]
- event 2 to 21, one on each subsequent year: the PV plant gives me back 35k€ a year and I have to give the bank 18k€ so [event 2 =+35000-18000=17000€ | cell C2],........ [event n =+17000€ | cell C21]
- event 22: I spend 20k€ to get the PV plant dismantled [event 22 =-20000 | cell C22]

But if I use the same TIR.COST function as before [TIR.COST(C1:C22,0.1)] I get something around 0.00000048%: what am I doing wrong?

Thanks.
fabio
 

Excel Facts

Back into an answer in Excel
Use Data, What-If Analysis, Goal Seek to find the correct input cell value to reach a desired result
play a little bit with the green cell, your loan of the bank.
suppose you start with 10.000€ instead of 240.000€ , your PV with help of the bank 'll have an IR of 13.6%.
With a loan of 100.000 already 18.5%, with 200.000€ 47% and then it goes quick passing 100% to 1000% (1600% at 239.000)
So at 240.000€ is is too big to calculate, meaning you won the lotto.

Map1
ABCD
1my own PVloancombined
2year-19178
30-240000239000-1000
4135000-1917815822
5235000-1917815822
6335000-1917815822
7435000-1917815822
8535000-1917815822
9635000-1917815822
10735000-1917815822
11835000-1917815822
12935000-1917815822
131035000-1917815822
141135000-1917815822
151235000-1917815822
161335000-1917815822
171435000-1917815822
181535000-1917815822
191635000-1917815822
201735000-1917815822
211835000-1917815822
221935000-1917815822
232035000-1917815822
2421-20000-20000
25
2613,30%5,00%1582,20%
Blad1
Cell Formulas
RangeFormula
C2C2=PMT(0.05,20,C3)
A3:A24A3=SEQUENCE(22,,0)
C4:C23C4=+$C$2
D3:D24D3=+C3+B3
B26:C26B26=IRR(B3:B24,0.11)
D26D26=IRR(D3:D24,0.07)
Dynamic array formulas.
 
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