In: Accounting
A Ghanaian football player has been approached by 5 top football clubs from Europe offering to sign him.
We will evaluate proposal of each club one by one.
Interest rate (given) = 4% p.a.
Club 1- Bologna F.C.
This club promises to give €200000 every year(assuming year end). We will discount all the payments and find the present value of the offer.
Discount factor at year 1 = 1/1.04 = 0.9615
At year 2 = (1/1.04)^2 = 0.9246 and so on..
PVIF = Caashflow * Discount factor (Column2 * Column3)
Years | Cashflow | Discount factor (4%,n) | PVIF |
1 | € 200,000 | 0.9615 | € 192,308 |
2 | € 200,000 | 0.9246 | € 184,911 |
3 | € 200,000 | 0.8890 | € 177,799 |
4 | € 200,000 | 0.8548 | € 170,961 |
5 | € 200,000 | 0.8219 | € 164,385 |
Present value= | € 890,364 |
Club 2- FK Zalgiris
This club proposes a total package of €1,050,000 at the end of the contract period.
Present value = Cashflow * Discount factor
Cashflow at year 5= €1,050,000 (rest , no other cashflows)
Discount factor = (1/1.04)^5 = 0.8219
Present value = €1,050,000 * 0.8219 = € 863023
Club 3 - Panathinaikos
The club is offering €195,000 every year but payable at the start of each year. This implies payment at beginning of year 2 is as good as payment at the end of year 1 and so on.
Years | Cashflow | Discount factor (4%,n) | PVIF |
0 | € 195,000 | 1 | € 195,000 |
1 | € 195,000 | 0.9615 | € 187,500 |
2 | € 195,000 | 0.9246 | € 180,288 |
3 | € 195,000 | 0.8890 | € 173,354 |
4 | € 195,000 | 0.8548 | € 166,687 |
Present value = | € 902,830 |
Club 4- SC Bastia
This club is offering a total package of €897,000 and the whole amount will be paid to him immediately i.e. now/today.
So Present value= €897,000
Club 5- FC Dynamo Kyiv
This club proposes an annual payment of €32,000 up to a time the player will be tired of receiving the payments, i.e. for an indefinite period.
Present value in case of indefinite period = Annual cashflow/ Interest rate
= €32,000 / 4%
Present value = €800,000
Summary | |
Club name | Present value |
Bologna F.C. | € 890,364 |
FK Zalgiris | € 863,023 |
Panathinaikos | € 902,830 |
SC Bastia | € 897,000 |
FC Dynamo Kyiv | € 800,000 |
Based on financial grounds, the player should sign for Panathinaikos based in Greece since present value of the payments by this club is the highest of all i.e. € 902,830.