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Please help me in alll the parts it will mwan much to me A,what is the future va

ID: 2799967 • Letter: P

Question

Please help me in alll the parts it will mwan much to me

A,what is the future value of $1000 left in a savings account earning 5% for 4 years compounded semi-annually? IS b. Mary won $25,000 in lottery and is offered to either take the whole amount today, or 7 payments of S3,350 in the next 7 years. Which option should she consider if current interest rate is 2.5%, and she is not in urgent need of the cash currently? Tom needs $18,000 in 10 years, for his retirement time, to buy a boat. How much does he need to save today, if interest rate is 6% and compounded semi-annually? c.

Explanation / Answer

a.

Future value=1000*(1+(5%/2))^(4*2)=1218.40

b.

Present value of payments in 7 years=3350/1.025^1+3350/1.025^2+3350/1.025^3+3350/1.025^4+3350/1.025^5+3350/1.025^6+3350/1.025^7

=21270

the present value of 7 payments is less than 25000 today one time ,. so choose to get 25000 today

c.

need today=18000/(1+(6%/2))^(10*2)

=9966.16

the above are answers

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