In: Finance
Based on the estimated future incremental cash flows, what is the highest price (total amount, not per share) JHC should offer Mobile for a cash acquisition? Assume a cost of capital of 13%. how would I find the answer to this? what would the excel formulas be?
if the incremental values are
19200000 for year 1
18900000 for year 2
19900000 for year 3
22350000 for year 4
26900000 for year 5
28000000 for years 6-30
Lest discount all the CF using excel:
Year | CF | Discount factor | Discounted CF | ||||
1 | 19200000 | 1/1.13^1 | = | 0.884955752 | 0.884955752212389*19200000 | = | 16991150 |
2 | 18900000 | 1/1.13^2 | = | 0.783146683 | 0.783146683373796*18900000 | = | 14801472 |
3 | 19900000 | 1/1.13^3 | = | 0.693050162 | 0.693050162277696*19900000 | = | 13791698 |
4 | 22350000 | 1/1.13^4 | = | 0.613318728 | 0.613318727679377*22350000 | = | 13707674 |
5 | 26900000 | 1/1.13^5 | = | 0.542759936 | 0.542759935999449*26900000 | = | 14600242 |
6 | 28000000 | 1/1.13^6 | = | 0.480318527 | 0.48031852743314*28000000 | = | 13448919 |
7 | 28000000 | 1/1.13^7 | = | 0.425060644 | 0.425060643746142*28000000 | = | 11901698 |
8 | 28000000 | 1/1.13^8 | = | 0.376159862 | 0.37615986172225*28000000 | = | 10532476 |
9 | 28000000 | 1/1.13^9 | = | 0.332884833 | 0.332884833382522*28000000 | = | 9320775.3 |
10 | 28000000 | 1/1.13^10 | = | 0.294588348 | 0.294588348126125*28000000 | = | 8248473.7 |
11 | 28000000 | 1/1.13^11 | = | 0.260697653 | 0.260697653208961*28000000 | = | 7299534.3 |
12 | 28000000 | 1/1.13^12 | = | 0.230705888 | 0.23070588779554*28000000 | = | 6459764.9 |
13 | 28000000 | 1/1.13^13 | = | 0.204164502 | 0.20416450247393*28000000 | = | 5716606.1 |
14 | 28000000 | 1/1.13^14 | = | 0.180676551 | 0.180676550861885*28000000 | = | 5058943.4 |
15 | 28000000 | 1/1.13^15 | = | 0.159890753 | 0.159890752975119*28000000 | = | 4476941.1 |
16 | 28000000 | 1/1.13^16 | = | 0.141496242 | 0.141496241570902*28000000 | = | 3961894.8 |
17 | 28000000 | 1/1.13^17 | = | 0.125217913 | 0.125217912894603*28000000 | = | 3506101.6 |
18 | 28000000 | 1/1.13^18 | = | 0.110812312 | 0.110812312296109*28000000 | = | 3102744.7 |
19 | 28000000 | 1/1.13^19 | = | 0.098063993 | 0.0980639931823976*28000000 | = | 2745791.8 |
20 | 28000000 | 1/1.13^20 | = | 0.086782295 | 0.0867822948516793*28000000 | = | 2429904.3 |
21 | 28000000 | 1/1.13^21 | = | 0.076798491 | 0.0767984910191852*28000000 | = | 2150357.7 |
22 | 28000000 | 1/1.13^22 | = | 0.067963266 | 0.0679632663886595*28000000 | = | 1902971.5 |
23 | 28000000 | 1/1.13^23 | = | 0.060144484 | 0.0601444835297872*28000000 | = | 1684045.5 |
24 | 28000000 | 1/1.13^24 | = | 0.053225207 | 0.0532252066635285*28000000 | = | 1490305.8 |
25 | 28000000 | 1/1.13^25 | = | 0.047101953 | 0.0471019527995827*28000000 | = | 1318854.7 |
26 | 28000000 | 1/1.13^26 | = | 0.041683144 | 0.0416831440704272*28000000 | = | 1167128 |
27 | 28000000 | 1/1.13^27 | = | 0.036887738 | 0.0368877381154223*28000000 | = | 1032856.7 |
28 | 28000000 | 1/1.13^28 | = | 0.032644016 | 0.0326440160313472*28000000 | = | 914032.45 |
29 | 28000000 | 1/1.13^29 | = | 0.02888851 | 0.0288885097622541*28000000 | = | 808878.27 |
30 | 28000000 | 1/1.13^30 | = | 0.025565053 | 0.0255650528869506*28000000 | = | 715821.48 |
NPV= sum of discountec CF | = | 168296907 |
So the maximum amount that can be paid is 168296907