Southern Tours is considering acquiring Holiday Vacations. Management believes Holiday Vacations can generate cash flows of $187,000, $220,000, and $245,000 over the next three years, respectively. After that time, they feel the business will be worthless. Southern Tours has determined that a 13.5 percent rate of return is applicable to this potential acquisition. What is Southern Tours willing to pay today to acquire Holiday Vacations

Respuesta :

Answer:

The correct answer is $503,098.

Explanation:

According to the scenario, the given data are as follows:

Payment 1st year = $187,000

Payment 2nd year = $220,000

Payment 3rd year = $245,000

Rate of interest = 13.5%

So, We can calculate the amount Southern Tours willing to pay by using following formula:

We add the payment for 3 years by simple interest as:

=  [tex]\frac{payment (1st year)}{1+r^{t1} }[/tex] + [tex]\frac{payment (2nd year)}{1+r^{t2} }[/tex] + [tex]\frac{payment (3rd year)}{1+r^{t3} }[/tex]

=  [tex]\frac{187,000}{1+0.135 }[/tex] + [tex]\frac{220,000}{1+0.135^{2} }[/tex] + [tex]\frac{245,000}{(1+0.135)^{3} }[/tex]

= $503,098

Hence, the amount Southern Tours willing to pay is $503,098.