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gavmur [86]
3 years ago
15

A U.S. treasury bond (selling at a par value of $1,000) that matures at the end of five years is said to have a coupon rate of 6

% if, after paying $1,000, the purchaser receives $30 at the end of each of the following nine six-month periods and then receives $1,030 at the end of the the tenth period. That is, the bond pays a simple interest rate of 3% per six-month period, with the principal repaid at the end of five years. Assuming a continuously compounded interest rate of 5%, find the present value of such a stream of cash payments.
Business
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

$1,042.04

Explanation:

to calculate the present value using a continuously compounded interest rate, we can use the following 2 formulas:

1) present value = cash flow / eⁿˣ

  • e = 2.71828
  • x = 5% / 2 = 2.5%
  • n = 10
  • cash flow = $1,030

present value = $1,030 / 2.71828¹⁰ˣ⁰°⁰²⁵ = $1,030 / 1.284 = $802.16

2) present value of an annuity = payment [(1 - e⁻ⁿˣ) / (eˣ - 1)]

  • payment = $30
  • x = 2.5%
  • n = 9
  • e = 2.71828

present value = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30(0.2015 / 0.0252) = $239.88

present value of the stream of cash flows = $802.16 + $239.88 = $1,042.04

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Unfortunately, Angie doesn't have enough money in her account right now. She needs to make additional contributions at the end o
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Answer: $770.22

Explanation:

If she makes equal contributions then those would be annuities. The $9,000 she wants to have will be the future value of the amount currently in her account and the annuity.

9,000 = 5,000 ( 1 + r) ^ n + ( annuity * future value interest factor of an annuity, 9%,  3 years)

9,000 = 5,000 ( 1 + 9%) ^ 3 + ( Annuity * 3.2781)

9,000 = 6,475.145‬ + 3.2781 * Annuity

Annuity  = (9,000 - 6,475.145‬) / 3.2781

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4 0
3 years ago
On October 1, Vista View Company rented warehouse space to a tenant for $3,600 per month. The tenant paid five months' rent in a
Damm [24]

Answer:

The adjusting entry needed on December 31 is:

Debit Unearned Rent revenue $10,800

Credit Rent Revenue $10,800

Explanation:

Following the Accrual accounting - an accounting method that revenue or expenses are recorded when a transaction occurs rather than when payment is received or made.

The tenant paid five months' rent in advance on October 1. From October 1 to December 31, Vista View Company had rented warehouse space to a tenant for 3 months.

The adjusting entry needed on December 31 is:

Debit Unearned Rent revenue $10,800  ($3,600 x 3 = $10,800)

Credit Rent Revenue $10,800

7 0
3 years ago
Most before and after ads will__the difference in the two photos
diamong [38]

Answer:

c. exaggerate

Explanation:

Typically, before and after photos is used by company to convince the customers that their product has a desired effect. You can see this in advertisement for almost every products for weight loss (such as appetite suppressant or workout equipment.)

The before after photos that showed in the advertisement often exaggerated in order to give positive impression toward their product. For example, the companies often took the before and after photo from different angle in order to make the people seems slimmer.

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Answer:

Find answers below.

Explanation:

Risk management can be defined as the process of identifying, evaluating, analyzing and controlling potential threats or risks present in a business as an obstacle to its capital, revenues and profits. This ultimately implies that, risk management involves prioritizing course of action or potential threats in order to mitigate the risk that are likely to arise from such business decisions.

Price risk is the risk of a decline in a bond's value due to an increase in interest rates. This risk is higher on bonds that have long maturities than on bonds that will mature in the near future.

Reinvestment risk is the risk that a decline in interest rates will lead to a decline in income from a bond portfolio. This risk is obviously high on callable bonds. It is also high on short-term bonds because the shorter the bond's maturity, the fewer the years before the relatively high old-coupon bonds will be replaced with new low-coupon issues. Which type of risk is more relevant to an investor depends on the investor's investment horizon, which is the period of time an investor plans to hold a particular investment. Longer maturity bonds have high price risk but low reinvestment risk, while higher coupon bonds have a higher level of reinvestment risk and a lower level of price risk. To account for the effects related to both a bond's maturity and coupon, many analysts focus on a measure called duration, which is the weighted average of the time it takes to receive each of the bond's cash flows.

The bonds which would have the largest duration is a 10 year - zero coupon bond.

3 0
3 years ago
Which process can you use to save an audio recording onto a recordable cd? select one:
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