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pentagon [3]
3 years ago
8

Fancy Cat Products has a project that will cost $241,000 today and will generate monthly cash flows of $5,730 for the next 55 mo

nths.
What is the rate of return of this project when expressed as an APR?


a. 12.47%


b. 10.41%


c. 12.10%


d. 13.83%


e. 11.17%
Business
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

Option C is correct one.

<u>The rate of return of this project when expressed as an APR is 12.10%</u>

Explanation:

Here initial cost of project pv = -$241,000

monthly payment pmt = $5,730

time nper = 55 months

Monthly rate of return RATE = RATE(nper,pmt,pv)

= RATE(55,5730,-241000)

= 1.01%

 

APR = 12* monthly rate of return = 12*1.01% = 12.10%

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Sanford Co. sells $500,000 of 10% bonds on March 1, 2020. The bonds pay interest on September 1 and March 1. The due date of the
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Answer:

ATTACHED file with the bonds schedule

Explanation:

First, we solve for the proceed from the issuance:

PV of the coupon:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

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time 7 (3 and a half year x 2 payment per year)

rate 0.06 (12% annual / 2)

25000 \times \frac{1-(1+0.06)^{-7} }{0.06} = PV\\

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PV of maturity:

\frac{Maturity}{(1 + rate)^{time} } = PV  

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time   7.00

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\frac{500000}{(1 + 0.06)^{7} } = PV  

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PV m  $332,528.5568

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Then we construct the bonds schedule as follows:

procceds 472,088

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discount on bonds payable -27,912

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market rate 0.06

ionterest expense: carrying value times market rate:

472,088 x 0.06 = 28,325.29

cash outlay          25,000

amortization          3,325.29

carrying value after first payment:

472,088 + 3,325.29 = 475,413.29

and the process repeat for all periods.

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