Using the PACED decision-making tool, what does the A stand for

A University of Iowa basketball standout is offered a choice of contracts by the New York Liberty.

Ratling [72]

Answer: The lowest interest rate at which the present value of the second contract exceeds that of the first is a. 7 percent.

Explanation:

Calculating present values is a useful way to compare cases where money is to be received in the future. The higher the present value (when comparing cases where you get money), the better. To calculate it, we make use of the next formula:

$PV=\frac{C}{(1+r)^{n}}$

Where PV: Present value,

C: Cash flow at a given period,

r: Interest rate, and

n: Number of periods that will have passed (in this case, we are talking about years).

Now, since we are getting money twice in each case (the first payment one year from today, and the final payment two years from today), we can restructure our present value formula to include these two payments. We will get something like this:

$PV=\frac{C_1}{1+r}+\frac{C_2}{(1+r)^{2}}$

Notice how each fraction represents one of the payments received, with one having an 'n' of 1 year, and the other one having an 'n' of 2 years. C₁ and C₂ represent the first and the second payment, respectively.

Now that we have our completed formula, let's review each contract's present value (PV) with the lowest interest rate (7%), just to see how it turns out. Remember that 7% equals 0.07 in any formula:

Contract A) This one gives her $100,000 one year from today and $100,000 two years from today.

$PV_{A,0.07}=\frac{100000}{1+0.07}+\frac{100000}{(1+0.07)^{2}}\\PV_{A,0.07}=93457.944+87343.873\\PV_{A,0.07}=180801.817dollars$

So Contract A's present value at 7% interest rate would be equal to $180801.817.

Contract B) The second one gives her $132,000 one year from today and $66,000 two years from today.

$PV_{B,0.07}=\frac{132000}{1+0.07}+\frac{66000}{(1+0.07)^{2}}\\PV_{B,0.07}=123364.486+57646.956\\PV_{B,0.07}=181011.442dollars$

So Contract B's present value at 7% interest rate would be equal to $181011.442, which exceeds that of Contract A.

Since among our options of interest rates, 7 percent is the lowest one, and, with this taken into account, the present value of the second contract (Contract B) exceeded that of the first (Contract A), the answer is a. 7 percent.

8 0

3 years ago

A property seller empowers an agent to market and sell a property on his behalf. what is this an example of

aev [14]

It is an example of special agency. It enables the bond of the broker and the principle in which they have a contract of having little control of each other and responsibility. These agency are hired by the seller to be able to reach out for others in selling the seller's property, allowing them to do what they are capable of but the seller has only little control of the broker.

3 0

3 years ago

Futura Inc. introduced an automobile that could run completely on electricity for longer periods of time than any other electron

Juli2301 [7.4K]

Answer:

Disruptive innovation.

Explanation:

Disruptive innovation is one that creates the way a market operates, that is it creates a new market and disrupts the old one. Existing firms and products are displaced.

In this instance when Futura Inc. introduced an automobile that could run completely on electricity for longer periods of time than any other electronic or hybrid automobile, it introduced a product that will cause disruptions in the current automobile industry.

Although there was challenges of frequent repairs, this was eventually resolved.

8 0

3 years ago

Delta Corporation has a bond issue outstanding with an annual coupon rate of 7% and 20 years remaining until maturity. The par v

denpristay [2]

Answer:

Current yield is 10.3%

Explanation:

Coupon payment = 1000 x 7% = $70 annually

Number of periods = n = 20 years

Yield to maturity = 11% annually

Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond = $70 x [ ( 1 - ( 1 + 11% )^-20 ) / 11% ] + [ $1,000 / ( 1 + 11% )^20 ]

Price of the Bond = $557.43 + $124.03 = $681.46

Current yield is the ration of coupon payment to the price of the bond.

Current Yield = Coupon Payment / Price of Bond = $70 / 681.46 = 0.1027 = 10.3%

5 0

3 years ago

Havermill Co. establishes a $250 petty cash fund on September 1. On September 30, the fund is replenished. The accumulated recei

Juli2301 [7.4K]

Answer:

<h2>The journal entry is shown below:</h2>

Explanation:

The journal entry for recording the establishment of the fund is as:

On September 1

Petty cash A/c.....................Dr $250

Cash A/c...........................Cr $250

Being recording the petty cash in the books

As creating the fund for the petty cash in the books, the account of petty cash is debited as there is increase in the assets which is debited. And the petty cash is created against cash. Therefore, the cash account is credited.

3 0

3 years ago