Answered

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What is the present value of 60,000php due in 6yrs.at 6% compounded quarterly.?

Sagot :

AGboiiidn

[tex]\large{\mathcal{SOLUTION:}}[/tex]

Using the formula

  • [tex]\rm{P = F - P(1+\frac{r}{n})^{nt}}[/tex]

[tex] \\ [/tex]

Given:

  • F = 60,000
  • T = 6
  • R = 6% or 0.06
  • N = quarterly or 4 times a year

[tex] \\ [/tex]

Solving ,

  • [tex]\rm{P = F - P(1+\frac{r}{n})^{nt}}[/tex]

  • [tex]\rm{P = 60,000 - P(1+\frac{0.06}{4})^{4×6}}[/tex]

  • [tex]\rm{P = 60,000 - P(1+0.015)^{24}}[/tex]

  • [tex]\rm{P = 60,000 - P(1.015)^{24}}[/tex]

  • [tex]\rm{P = 60,000 - P(1.4295)}[/tex]

  • [tex]\rm{P = 60,000 - 1.4295P}[/tex]

  • [tex]\rm{P +1.4295P = 60,000}[/tex]

  • [tex]\rm{2.4295P = 60,000}[/tex]

  • [tex]\rm{P = 60,000÷2.4295}[/tex]

  • [tex]\rm{P = 24,696.4376}[/tex]

Therefore , the Present value is Php 24,696.44

[tex] \\ [/tex]

[tex]\large{\mathcal{ANSWER:}}[/tex]

  • the Present value is Php 24,696.44

[tex] \\ [/tex]