A company set aside a sum of rupess 5000 annualy for 10 year to pay of...
Calculation of Accumulated Fund:
- Principal amount = Rs. 5000 x 10 = Rs. 50,000
- Annual interest rate = 5%
- Compounding frequency = annually
- Number of periods = 10
Using the formula for compound interest, we can calculate the accumulated fund:
Accumulated Fund = Principal x (1 + (Annual Interest Rate/Compounding Frequency))^(Compounding Frequency x Number of Periods)
Accumulated Fund = 50,000 x (1 + (0.05/1))^(1 x 10)
Accumulated Fund = 50,000 x 1.62889
Accumulated Fund = Rs. 81,444.50
Calculation of Surplus for Full Redemption:The debenture issue is for Rs. 60,000, but the accumulated fund is Rs. 81,444.50. Therefore, the surplus for full redemption is:
Surplus = Accumulated Fund - Debenture Issue
Surplus = 81,444.50 - 60,000
Surplus = Rs. 21,444.50
Explanation:The company set aside Rs. 5000 annually for 10 years to pay off a debenture issue of Rs. 60,000. The fund accumulated 5% per annum compounded annually. Using the formula for compound interest, we calculated the accumulated fund to be Rs. 81,444.50. Since the debenture issue is for Rs. 60,000, the surplus for full redemption is calculated by subtracting the debenture issue from the accumulated fund, which is Rs. 21,444.50. This surplus can be used by the company for other purposes.