1. **State the problem:**
Calculate the cash budget for each quarter, including borrowings and repayments, to maintain a minimum cash balance of $10,000.
2. **Given data:**
- Beginning cash balance: $38,000
- Minimum cash balance required: $10,000
- Quarterly interest rate: 3%
- Cash receipts and disbursements for each quarter:
- Q1: Receipts $270,000, Disbursements $323,000
- Q2: Receipts $420,000, Disbursements $293,000
- Q3: Receipts $300,000, Disbursements $283,000
- Q4: Receipts $320,000, Disbursements $303,000
3. **Formula and rules:**
Cash balance at end of quarter = Beginning cash + Receipts - Disbursements + Borrowings - Repayments
Borrow if cash balance falls below $10,000 to maintain minimum balance.
Interest on loans is 3% quarterly, paid when repaid.
4. **Calculate quarter by quarter:**
**Quarter 1:**
\[
\text{Beginning cash} = 38000
\]
\[
\text{Cash available before borrowing} = 38000 + 270000 - 323000 = -15000
\]
Since -15000 < 10000 (minimum), borrow enough to reach $10,000:
\[
\text{Needed} = 10000 - (-15000) = 25000
\]
Borrow $25,000.
Ending cash:
\[
-15000 + 25000 = 10000
\]
**Quarter 2:**
\[
\text{Beginning cash} = 10000
\]
\[
\text{Cash available before borrowing} = 10000 + 420000 - 293000 = 137000
\]
No borrowing needed since $137,000 > $10,000.
Assuming no repayment yet.
**Quarter 3:**
\[
\text{Beginning cash} = 137000
\]
\[
\text{Cash available before borrowing} = 137000 + 300000 - 283000 = 154000
\]
No borrowing needed.
**Quarter 4:**
\[
\text{Beginning cash} = 154000
\]
\[
\text{Cash available before borrowing} = 154000 + 320000 - 303000 = 171000
\]
No borrowing needed.
5. **Loan repayment and interest:**
Loan principal = $25,000 from Q1.
Interest for one quarter = $25000 \times 0.03 = 750
Repay loan at end of Q4:
Total repayment = $25000 + $750 = $25750
Ending cash after repayment:
\[
171000 - 25750 = 145250
\]
**Final summary:**
- Borrow $25,000 at start of Q1
- Maintain minimum cash balance $10,000 each quarter
- Repay loan plus interest $25,750 at end of Q4
- Ending cash balance after repayment: $145,250
**Answer:**
The company needs to borrow $25,000 at the beginning of Q1 and repay $25,750 at the end of Q4 to maintain the minimum cash balance of $10,000 throughout the year.
Cash Budget Cd4B04
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