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lesantik [10]
3 years ago
10

Nick is considering investing in a two year $10,000 bond paying a coupon rate of 4%. The market interest rate is 5%. Calculate t

he present value (PV) of the bond.
Business
1 answer:
LiRa [457]3 years ago
3 0

Answer:

$9,813.76        

Explanation:

The net present value of the bond can be calculated using the following formula:

PV of Bond ($) = PV of future coupon payments (Step1) + PV of redemption Amount

So here

PV of Bond ($) =  $743.76 (Step1) + $10,000 x Discount Factor at 5% and 2 years time

PV of Bond ($) = $743.76 + $10,000 / (1+5%)^2 = $743.76 + $9,070

PV of Bond ($) = $9,813.76

<u>Step 1: PV of future coupon payments</u>

And Present value of this annual cash flow that would be received in first 2 years is:

Present Value = Future Annual Cash Inflow (Step2)   * Annuity factor at 5% and at 2 years time

Present Value = $400 * [1  -  (1+r)^-n] / r

= $400 * [1  - (1+5%)^-2] / 5%  = $400 x 1.8594 = $743.76

Step 2: Future Annual Cash Inflow

Annual return is the coupon interest received, so this implies that:

Annual Cash Inflow = Face value * Coupon rate

Here

Face value of the bond is $10,000

Coupon rate is 4%

So by putting values, we have:

Annual Cash Inflow = $10,000 x 4% = $400

You might be interested in
What is an opportunity cost
xxMikexx [17]

Answer:

B

Explanation:

Opportunity cost is the valje of the next best alternative forgone when a choice is made.

7 0
2 years ago
Evans products uses a process costing system with two processing departments: the mixing department and the finishing department
Mice21 [21]

Answer:

A debit to Work-in-Process Inventory, Finishing Department of $140,000

Explanation:

Data provided

Cost transferred per unit = $4

Units transferred = 35,000

Total cost of units transferred = Cost transferred per unit × Units transferred

= $4 × 35,000

= $140,000

Therefore Process department is a finishing department. From the last processing department to finished goods and when only finished goods are debited.

$140,000 will be paid to the Work-in-Process Inventory, Mixing Department and debited to the Finishing Department, Work-in-Process Inventory.

3 0
3 years ago
A retired auto mechanic hopes to open a rustproofing shop. Customers would be local new-car dealers. Two locations are being con
Lady bird [3.3K]

Answer:

X = 325 cars will yield same profit in both locations

Explanation:

Location                                            City                                         Outskirts

Dealer Price                                        $                                            $

(98 x 330)                                       32340                                       32340

Labour,Material                                                                                    

and Transportation Cost              

($30/car x 330 cars)                         (9900)                                          

( $38/car x 330 cars)                                                                           (12540)

<u>Fixed Cost                                          (6950)                                        (4350)</u>

Profit                                                  15,490                                       15450

City will yield greatest profit if monthly demand is 330 cars

Location                                            City                                         Outskirts

Dealer Price                                        $                                            $

(98 x 430)                                           42,140                                     42,140                                      

Labour,Material                                                                                    

and Transportation Cost              

($30/car x 430 cars)                         (12900)                                          

( $38/car x 430 cars)                                                                           (16340)

<u>Fixed Cost                                           (6950)                                        (4350)</u>

Profit                                                   22,290                                       21450

City will yield greatest profit if monthly demand is 430 cars

b)

let X be the volume of output for both sites to yield same profit

City

Dealer Price = 98X

Labour, material and transportation= 30X

Fixed cost = 6950

Profit = 98X-(30X+6950)

Outskirts

Dealer Price = 98X

Labour,Material and transportation = 38X

Fixed Cost = 4350

Profit = 98X-(38X+4350)

Both Profits are same therefore

98X-30X-6950 = 98X-38X -4350

-30X+38X = -4350+6950

-8X = 2600

X = 325 cars will yield same profit in both locations

3 0
3 years ago
Fragmental Co. leased a portion of its store to another company for eight months beginning on October 1, at a monthly rate of $9
Leviafan [203]

Answer:

Debit cash $7800

Credit unearned revenue $7800

Explanation:

The amount of $7800 was received in cash on October 1. Therefore, the cash account will be debited with the $7800 received.

The corresponding credit entry of $7800 will be to the unearned revenue account since the revenue has not been earned. Revenue will be earned at the end of each month of the lease. This account will subsequently debited each time the revenue is earned i.e at the end of each lease month.

3 0
3 years ago
You buy a used car for $18,000. You were given 3% interest over 3 years. What is your
makkiz [27]

Answer:

$545

Explanation:

The total amount of interest to be paid is obtained by the formula.

I= p x r x t,

Where  I= interest

 P= principal amount

 R= interest rate

 T= time

In this case

I= $18,000 x 3/100 x 3

I= $18,000 x 0.03 x 3

I=$18,000 x 0.09

Interest paid will be $1,620

Total amount to be repaid is the principal amount plus interest

=$18,000 + $1,620

=$19,620.

The amount of  $19,620 will be repaid in 3 years( 36 months)

monthly payment will be

=$19,620 /36

=$545

Monthly repayments will be $545

5 0
3 years ago
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