In: Finance
Using the BAII Plus calculator
I am having a difficult time using this calculator to solve this MIRR
0 =-325,000
1=50,000
2= 75,000
3=-60,000
4=225,000
5=300,000
Required rate of return =15%
We discount all negative CFs(at 15%) time 0
We compound all positive cash flows (at 15%) to 5 years
This is now the TV or Terminal Value
Please help me understand how to calculate these numbers?
A | B | C | D | E | F | G | H | I | J | K | L |
2 | |||||||||||
3 | Calculation of MIRR: | ||||||||||
4 | MIRR is the rate at which PV of cash outflows is equal to the PV of FV of cash inflows. | ||||||||||
5 | Project term | 5 | years | ||||||||
6 | Required rate of return | 15% | |||||||||
7 | Incremental cash flows: | ||||||||||
8 | Year | 0 | 1 | 2 | 3 | 4 | 5 | ||||
9 | Incremental Cash Flow | ($325,000) | $50,000 | $75,000 | ($60,000) | $225,000 | $300,000 | ||||
10 | |||||||||||
11 | PV of cash outflow | =$325,000 + $60,000 * (1/(1+15%)3) | |||||||||
12 | $364,451 | =-D9+(-G9)/((1+D6)^G8) | |||||||||
13 | Calculation of Future Value of cash inflows | ||||||||||
14 | Year | 0 | 1 | 2 | 3 | 4 | 5 | ||||
15 | Incremental Cash Flow | $50,000 | $75,000 | $0 | $225,000 | $300,000 | |||||
16 | MARR | 15% | |||||||||
17 | Future Value of cash inflows | $87,450 | $114,066 | $0 | $258,750 | $300,000 | =I15*((1+$D$16)^($D$5-I14)) | ||||
18 | Total FV of cash inflows | $760,266 | =SUM(E17:I17) | ||||||||
19 | |||||||||||
20 | Let r be the MIRR then, | ||||||||||
21 | PV of cash outflow*(1+r)5=FV of cash inflow | ||||||||||
22 | $364,451*(1+r)5=$760,266 | ||||||||||
23 | |||||||||||
24 | Solving the above equation: | ||||||||||
25 | r = | 15.84% | =((D18/D12)^(1/D5))-1 | ||||||||
26 | |||||||||||
27 | Hence MIRR is | 15.84% | |||||||||
28 |
Formula sheet