Starr Company decides to establish a fund that it will use 1 year from now to replace an aging production facility. The company will make a $94,000 initial contribution to the fund and plans to make quarterly contributions of $50,000 beginning in three months. The fund earns 4%, compounded quarterly. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your "Table Factor" to 4 decimal places and final answer to the nearest whole dollar.)
What will be the value of the fund 1 year from now?
Mark Welsch deposits $7,100 in an account that earns interest at an annual rate of 8%, compounded quarterly. The $7,100 plus earned interest must remain in the account 4 years before it can be withdrawn. How much money will be in the account at the end of 4 years? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.)
Solution 1:
| Computation of Value of fund one year from now | ||||
| Quarterly Period | Beginning Balance | Deposit | Interest earned (Beginning balance * 1%) | Ending balance |
| 0 | $0 | $94,000 | $0 | $94,000 |
| 1 | $94,000 | $50,000 | $940 | $144,940 |
| 2 | $144,940 | $50,000 | $1,449 | $196,389 |
| 3 | $196,389 | $50,000 | $1,964 | $248,353 |
| 4 | $248,353 | $50,000 | $2,484 | $300,837 |
Therefore value of the fund 1 year from now = $300,837
Solution 2:
Deposit amount = $7,100
Interest rate = 8% annual, 2% quarterly
Periods = 4 years or 16 semiannual periods
Total money in account at the end of 4 years = $7,100 * (1+0.02) ^ 16
= $7,100 * 1.3728 = $9,747
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