You just signed a consulting contract that will pay you $38,000, $42,000, and $45,000 annually at the end of the next three years, respectively. What is the present value of this contract given a discount rate of 10.5? a. $102138.76.b. $108.3076.c. $112860.33.d. $92433.2.e. $96.422.15.

Respuesta :

Answer:

A. $[tex]102138.76[/tex]

Explanation:

[tex]Since~ there~ are~ uneven ~cash~ flows,~ we ~will~ have~ to ~calculate ~each\\ cash ~flow ~separately ~for~ that~ year.[/tex]

[tex]We~have~to~use~the~formula~which~is:[/tex]

[tex]PV=\frac{CF}{(1+r)^n} +\frac{CF}{(1+r)^n}+\frac{CF}{(1+r)^n}[/tex]

[tex]Where:[/tex]

[tex]CF=Cash~Flows[/tex]

[tex]r=Discount~rate[/tex]

[tex]n=number~of~period.[/tex]

[tex]Putting~up~all~the~values,~we~get:[/tex]

[tex]PV=\frac{38,000}{(1+0.105)^1}+ \frac{42,000}{(1+0.105)^2} +\frac{42,000}{(1+0.105)^3}=[/tex] $[tex]102138.76[/tex]

[tex]Thus,~option~``a"~is~correct![/tex]