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stepan [7]
3 years ago
6

Assume that a bond makes 10 equal annual payments of $1,000 starting one year from today. The bond will make an additional payme

nt of $100,000 at the end of the last year, year 10. (This security is sometimes referred to as a coupon bond.) If the discount rate is 3.5$% per annum, what is the current price of the bond? (Hint: Recognize that this bond can be viewed as two cash flow streams: (1) a 10-year annuity with annual payments of $1,000, and (2) a single cash flow of $100,000 arriving 10 years from today. Apply the tools you've learned to value both cash flow streams separately and then add.)
Business
1 answer:
ohaa [14]3 years ago
6 0

Answer:

$79,208.48

Explanation:

The computation of the current price of the bond is shown below:-

<u>Number of    Cash flow    PV annuity factor    Discounted cash </u>

<u>years                                                                        flow</u>

1 -10  years     $1,000                 8.3166                      $8,316.6

10 years        $100,000            0.7089188                $70,891.88

Current price of the bond                                        $79,208.48

Refer to the PV annuity factor so that we get to know the discounting factor value.

You might be interested in
Dan, and Mike are brothers. They plan to begin savings plans when each is exactly 25. Each brother plans to save $6,000 per year
anzhelika [568]

Answer:

1. How much will Dan have in his traditional IRA account at 67? Follow the proper taxation for this type of retirement account.

A) Amount available to invest after taxes per month?

  • $500

B) Amount in account at age 67?

  • $2,813,492

C) Briefly explain the taxation on withdrawals from a Traditional IRA

  •  IRA contributions are made before income taxes are paid, that is why Dan's monthly contributions are higher. The disadvantage is that Dan's plan will be taxed later.

2. How much will Mike have in his Roth IRA at age 67? Follow the proper taxation for this type of retirement account.

A) Amount available to invest after taxes per month?

  • $375 until 59.5 years old, then $500

B) Amount in account at age 67

  • $2,072,879

c) Briefly explain the taxation on the withdrawals from a Roth IRA

  • Roth IRA contributions are made after income taxes are paid, that is why Mike's monthly contributions are lower. The advantage is that Mike's plan will not be taxed later.

3. If both brothers are expected to be taxed at a 20% tax rate in retirement, which retirement plan will have the best after tax results?

  • In this case, since the tax rate is higher while they are working (25%), than once they retire (20%), the traditional IRA account could make more sense except that since the time span is very long, your account will accumulate a lot of earned interest. The total principal invested into the traditional IRA account is $252,000 and the interest gained is $2,561,492 and that part will be taxed once you start withdrawing money. In order to determine which account would be better, you need to estimate how many years will Dan and Mike live after retiring, the longer they live the best option is the Roth IRA account.  

Explanation:

the formula to determine the future value of an annuity is:

FV = P x [(1 + r)ⁿ - 1] / r

Dan's monthly contribution = $500

Mike's monthly contribution = $500 x (1 - 25%) = $375 until age 59.5, then $500

Dan's n =  42 years x 12 months = 504

r = 9% / 12 = 0.75%

Mike's n = 414 for $375 and 90 for $500

Dan's FV = $500 x [(1 + 0.75%)⁵⁰⁴ - 1] / 0.75% = $2,813,492

Mike's FV = $375 x [(1 + 0.75%)⁴¹⁴ - 1] / 0.75% = $1,052,612

then $1,052,612 x (1.09)⁷°⁵ = $2,008,940

Mike's FV = $500 x [(1 + 0.75%)⁹⁰ - 1] / 0.75% = $63,939

total = $2,008,940 + $63,939 = $2,072,879

7 0
4 years ago
Do you think marketers truly have the power to change the way we think? If so, what are the
EleoNora [17]

Answer:

Yes.

Implication : Manipulate demand and choices

Explanation:

<em>Marketing</em> involves communicating the product to the customers at the right price, to the right people and delivering to the right place.

If one of the 4Ps is marketed well for one product customers will have greater attention of that products against another, thus changing the way we think.

4 0
3 years ago
What would best explain why the equilibrium price of pink salmon decreased and the equilibrium quantity increased?
11Alexandr11 [23.1K]

The boom in delivery was greater than the lower in demand.

Each growth in supply and reduction in demand effects in price fall. but, when the delivery will increase plenty greater than lower in demand the equilibrium amount is certain to boom as well.

Here is the way to locate the equilibrium rate of a product:

1. Use the supply function for quantity. you operate the delivery system, Qs = x + YP, to find the supply line algebraically or on a graph. ...

2. Use the call for characteristic for quantity. ...

3. Set the 2 quantities identical in terms of rate. ...

remedy for the equilibrium price.

Learn more about Equilibrium quantity here

brainly.com/question/22569960

#SPJ4

5 0
1 year ago
White House officials often exude more confidence than they actually feel about future prospects for the economy. Why might this
Alina [70]

Answer:

Following are the answer to this question:

Explanation:

It is a great approach since it encourages and guarantees enhanced investment in infrastructure. Even so, a reduction in the possible future investment funds caused by government confidence will also result in business mistakes or failures throughout the investment process, and that's why the officials of the White House frequently exude a greater level of pride in prospects for the economic system than they feel.

3 0
3 years ago
As of December 31, 2016, Nala Incorporated reported accounts receivable for $275,000 less allowance for doubtful accounts of $27
Rudik [331]

Answer:

a. 1. Debit Accounts receivable $180,000

Credit Sales $180,000

2. Debit cash $125,000

Credit Accounts receivable $125,000

3. Debit Sales return $20,000

Credit $20,000

4. Debit Provision for bad debts expense $35,000

Credit Accounts receivable $35,000

5. Debit Accounts receivable $ $2,500

Credit Provision for bad debts expense $2,500

Debit Cash $2,500

Credit Accounts receivable $2,500

B. Debit Bad debts expense $27,500

Credit provision for bad debt expense $27,500

Explanation:

1. Sale on account will increase the accounts receivable. So we have to debit accounts receivable and credit to sales in the amount of $180,000

2. Collections will decrease the accounts receivable due payments made by the customer. So we have to debit cash and credit accounts receivable by $125,000

3. Sales return is a contra asset account that will decrease the accounts receivable and also the net sales. So we will debit sales return and credit accounts receivable in the amount of $20,000

4. Write offs will decrease the provision for bad debts account as well as the accounts receivable accounts by $35,000

5. Recovery of bad debts previously written off has no effect in accounts receivable but will increase the provision for bad debts due to reversal of entry previously made. First, we will reverse the original written off entry. Debit Accounts receivable and credit provision for bad debts expense in the amount of $2,500. Then we will record the collection by debiting cash and crediting accounts receivable in the amount of $2,500

B. Let’s determine the balance of accounts receivable first,

Beg. $275,000 + 180,000 sale on account - 125,000 collection - 20,000 sales return - 35,000 write-off = $275,000

Therefore, $275,000 x 10% = $27,500

Entry:

Debit Bad debts expense $27,500

Credit provision for bad debts expense $27,500

3 0
3 years ago
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