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Rufina [12.5K]
3 years ago
15

Calculate the present value of $4,000 received five years from today if your investments pay (Do not round intermediate calculat

ions. Round your answers to 2 decimal places. (e.g., 32.16)) Present Value a. 6 percent compounded annually $ b. 8 percent compounded annually c. 10 percent compounded annually d. 10 percent compounded semiannually e. 10 percent compounded quarterly
Business
1 answer:
Elanso [62]3 years ago
3 0

Answer:

A = $2,989.30

B = $2,722.33

C = $2,483.68

D = $2,455.65

E = $2,441.08

Explanation:

Given:

Future value (A) = $4,000

Present value (P) = ?

Number of Year (N) = 5.

A. R = 6% = 0.06

P=\frac{A}{(1+R/100)^N}\\P=\frac{4000}{(1+0.06)^5}\\P=\frac{4000}{(1.06)^5}\\\\P=\frac{4000}{(1.06)^5}\\P=\frac{4000}{1.33822558}\\\\P=2,989.032

B. R = 8% = 0.08

P=\frac{A}{(1+R/100)^N}\\P=\frac{4000}{(1+0.08)^5}\\P=\frac{4000}{(1.08)^5}\\\\P=\frac{4000}{1.46932808}\\\\P=2,722.3327

C. R = 10% = 0.1

P=\frac{A}{(1+R/100)^N}\\P=\frac{4000}{(1+0.1)^5}\\P=\frac{4000}{(1.1)^5}\\\\P=\frac{4000}{1.61051}\\\\P=2,483.6852

D. R= 10/2 = 5% N=5*2 = 10

P=\frac{A}{(1+R/100)^N}\\P=\frac{4000}{(1+0.05)^{10}}\\P=\frac{4000}{(1.05)^{10}}\\\\P=\frac{4000}{1.62889463}\\\\P=2,455.6530

E. R = 10/4 = 2.5% N = 5*4 = 20

P=\frac{A}{(1+R/100)^N}\\P=\frac{4000}{(1+0.025)^{20}}\\P=\frac{4000}{(1.025)^{20}}\\\\P=\frac{4000}{1.63861644}\\\\P=2,441.08377

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a.

Date              Account Title                                                   Debit           Credit

Feb. 20         Cash                                                            $174,800

                     Common stock                                                              $144,000

                     Paid-In Cap. in excess of par                                          $30,800

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Common stock = 18,000 * 8

= $144,000

Paid-in cap. = 174,800 - 144,000

= $30,800

b.

Date              Account Title                                                   Debit           Credit

Feb. 20         Cash                                                            $174,800

                     Common stock                                                              $174,800

c.

Date              Account Title                                                   Debit           Credit

Feb. 20         Cash                                                            $174,800

                     Common stock                                                               $72,000

                     Paid-In Cap. in excess of par                                       $102,000

<u>Working</u>

Common stock = 4 * 18,000 = $72,000

Paid in cap = 174,000 - 72,000 = $102,000

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