Derek will deposit $9,359.00 per year for 18.00 years into an account that earns 4.00%, The first deposit is made next year. He has $18,418.00 in his account today. How much will be in the account 49.00 years from today

Answer:

FV= $904,322.05

Explanation:

First, we will calculate the future value of the 18 deposits 19 years from now. Also the value of the $18,418 19 years from now.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit= 9,359

n= 18

i= 0.04

FV= {9,359*[(1.04^18) - 1]} / 0.04

FV= $240,015.42

FV= PV*(1+i)^n

FV= 18,418*(1.04^19)

FV= $38,803.95

Total FV= 240,015.42 + 38,803.95= $278,819.37

Finally, the value of the account for the remaining 30 years:

FV= 278,819.37*(1.04^30)

FV= $904,322.05

At the beginning of the year, Cann Co. started construction on a new $2 million addition to its plant. Total construction expenditures made during the year were $200,000 on January 2, $600,000 on May 1, and $300,000 on December 1. On January 2, the company borrowed $500,000 for the construction at 12%. The only other outstanding debt the company had was a 10% interest rate, long-term mortgage of $800,000, which had been outstanding the entire year. What amount of interest should Cann capitalize as part of the cost of the plant addition

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