Information provided:
Future value= $1,600,000
Monthly withdrawal= $25,000
Interest rate= 5.5%/12= 0.4583% per month
The number of months till the trust fund will last the client is calculated by entering the below in a financial calculator:
FV= 1,600,000
PMT= 25,000
I/Y= 0.4583
Press the CPT key and N to compute the number of months till the trust fund will last the client.
The value obtained is 56.2499
Therefore, the trust fund will last the client 56.25 months.
In case of any query, kindly comment on the solution.
a.Information provided:
Yearly payment= $7,700
Time= 7 years
Interest rate= 8%
The present value of the lease is calculated by entering the below in a financial calculator:
PMT= 7,700
N= 7
I/Y= 8
Press the CPT key and PV to compute the present value of the lease.
The value obtained is 40,089.05.
Therefore, the present value of the lease is $40,089.05.
b.It is cheaper to lease as it will cost $41,000 to buy the truck whereas, it will cost $40,089.05 to lease.
c. Annuity due refers to annuity that occurs at the beginning of a period.
This can also be solved using a financial calculator by inputting the below into the calculator:
The financial calculator is set in the end mode. Annuity due is calculated by setting the calculator to the beginning mode (BGN). To do this, press 2nd BGN 2nd SET on the Texas BA II Plus calculator.
The present value of annuity due is calculated by entering the below in a financial calculator:
PMT= 7,700
N= 7
I/Y= 8
Press the CPT key and PV in a financial calculator in BGN mode to compute the present value of annuity due.
The value obtained is 43,296.17.
Therefore, the present value of annuity due is $43,296.17.
In case of any query, kindly comment on the solution.
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