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vekshin1
1 year ago
12

Roger Fox made deposits of $900 semiannually to Reed Bank at the end of each period, which pays 6% interest compounded semiannua

lly. After seven years Roger made no more deposits. What will be the balance in the account eight years after the last deposit?
Business
1 answer:
Molodets [167]1 year ago
6 0

The balance in the account eight years after the last deposit is $24,676.68

What is an ordinary annuity?

Ordinary annuity means a fixed amount that would be paid over a period of time, with payments being made at the end of each period.

Like in this scenario, the $900 would be deposited every six months into the Reed Bank account for 7 years, in essence, our first task is to determine the balance in the account as at the time of last deposit in 7 years using the future value formula of an ordinary annuity as shown below:

FV=annuity payment*(1+r)^N-1/r

annuity payment=$900

r=semiannual interest rate=6%/2=0.03

N=number of semiannual payments in 7 years=7*2=14

FV=$900*(1+0.03)^14-1/0.03

FV=$900*(1.03)^14-1/0.03

FV=$900*(1.51258972485511-1)/0.03

FV=$900*0.51258972485511/0.03

FV=$15,377.69

The balance in the account eight years after the last deposit can be computed using the future value formula of a single cash of $15,377.69

FV=PV*(1+r)^N

PV=balance at the time of last deposit=$15,377.69

r=semiannual interest rate=6%/2=0.03

N=number of semiannual periods in 8 years=8*2=16

FV=$15,377.69*(1+0.03)^16

FV=$24,676.68

Find out more about the future value of an ordinary annuity on:brainly.com/question/5303391

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6 0
1 year ago
Make a case that development economics might be merely a combination of all the other subfields of economics, only applied to lo
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Answer:

Case explained below

Explanation:

Development economics is a branch of economics which deals with economic aspects of the development process in low income countries. Its focus is not only on methods of promoting economic development, economic growth and structural change but also on improving the potential for the mass of the population, either through health, education and workplace conditions, whether through public or private channels.

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8 0
3 years ago
The management of California Corporation is considering the purchase of a new machine costing $400,000. The company's desired ra
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Answer:

c. 1.14

Explanation:

Year         Cash Flow    PV Factor 10%     PV of Cash flows

                        ($)                                                              ($)

Year 1             180,000         0.909                     163,620

Year 2             120,000         0.826                       99,120

Year 3             100,000         0.751                       75,100

Year 4               90,000         0.683                       61,470

Year 5               90,000         0.621                       55,890

                                                                Total              =    455,200

Initial cash outflow = $400,000

Cash inflow = $455,200

So, we can calculate the present value index by using following formula,

Present value index = Cash inflow ÷ Cash outflow

= $455,200 ÷ $400,000

= 1.14

4 0
3 years ago
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