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Question #01
20 Arab Dilemmas — MCA8 Study
Calculate the expected yield of a Sukuk Al-Ijara with a tenor of 5 years, an underlying asset of 100 million and an annual rental rate of 4.2%.The calculation must be strictly Sharia compliant.
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Calculating the expected yield of a Sukuk Al-Ijara, which is an Islamic financial instrument, requires adhering to Sharia principles.In the case of a Sukuk Al-Ijara, the yield is derived from leasing the underlying asset.
**Data:**
- Underlying asset: 100 million
- Annual rental rate: 4.2%
- Term: 5 years
**Calculation:**
1. **Annual Yield**: The annual yield is calculated based on the rental rate applied to the value of the underlying asset.Therefore, for each year, the yield is:
\[
Annual Income = 100\ million \times 4.2\% = 4.2\ million
\]
2. **Total Income at the End of the Term**: To calculate the total income at the end of 5 years, we multiply the annual income by the number of years:
\[
Income\ Total = 4.2\ million \times 5 = 21\ million
\]
This calculation is strictly Sharia compliant as the yield is based on a legitimate rental transaction and does not involve interest but rather a return on the use of the asset.Furthermore, the Sukuk contract must ensure that all aspects of the lease are in accordance with Islamic principles, such as clarity in terms of the contract and ethical utilization of the underlying asset.
To calculate the expected yield of a Sukuk Al-Ijara, which is a fixed income security in accordance with Sharia principles, we need to consider the annual rental rate and the structure of the Sukuk.
1. **Underlying Asset**: 100 million (100,000,000).
2. **Annual Rental Rate**: 4.2% (0.042).
3. **Term**: 5 years.
The expected yield of a Sukuk Al-Ijara is generally calculated based on the income generated by the underlying asset, which is rent.Therefore, the calculation of total rental income over the 5 years is:
\[
\text{Total Revenue} = \text{Underlying Asset} \times \text{Annual Lease Rate} \times \text{Term}
\]
Replacing the values:
\[
\text{Total Revenue} = 100,000,000 \times 0.042 \times 5 = 21,000,000
\]
Thus, the total expected income over the 5 year period is 21 million.
For an investor, if the Sukuk is structured to have annual lease payments, the expected yield in each year would be:
\[
\text{Annual Payment} = \text{Underlying Asset} \times \text{Annual Lease Fee} = 100,000,000 \times 0.042 = 4,200,000
\]
Therefore, the expected annual income is 4.2 million, totaling 21 million at the end of the 5 years, respecting the principles of Sharia, which prohibit the payment of interest and insist on the generation of real and tangible income.
**Expected return: 4.2% per year (fixed).**
In Sukuk Al-Ijara, income is derived exclusively from rental payments (ujrah) on the underlying asset, in accordance with Sharia principles (prohibition of riba, gharar and maysir).With assets of 100 million and annual rental rate of 4.2%:
- Annual rent = 100,000,000 × 4.2% = 4,200,000
- Total in 5 years = 5 × 4,200,000 = 21,000,000 (no compounding, as the return is real rental, not debt)
The principal (asset value) is returned at maturity via repurchase or transfer, maintaining the periodic return fixed at 4.2% p.a.This calculation is determinable, transparent and linked to the effective use of the asset, in strict accordance with Sharia.
(21 million total income; annual effective rate remains 4.2%.)
The calculation of the yield of a Sukuk Al-Ijara, from the perspective of Sharia, is not based on interest
To calculate the expected yield of a Sukuk Al-Ijara, which is an Islamic financial instrument, we need to consider the rental payments that will be received over the term of the Sukuk. In the case presented:
1. **Underlying Asset:** 100 million.
2. **Annual Rental Rate:** 4.2%.
3. **Term:** 5 years.
The annual rental yield will be calculated by multiplying the asset value by the annual rental rate:
\[ \text{Annual Income} = 100 \text{ million} \times 4.2\% = 4.2 \text{ million} \]
As the Sukuk has a tenor of 5 years, the total return over the 5 years will be:
\[ \text{Total Income} = 4.2 \text{ million} \times 5 = 21 \text{ million} \]
Therefore, the total expected yield at the end of 5 years, in accordance with Sharia principles, is 21 million.
To calculate the expected yield of a Sukuk Al-Ijara, we need to understand how this instrument works according to Sharia principles.Sukuk Al-Ijara is a form of security that represents an interest in an underlying asset that is leased to a tenant.Investors receive income from rent payments.
In this case, we have the following information:
- **Underlying asset**: 100 million
- **Annual rental rate**: 4.2%
- **Term**: 5 years
The annual yield of Sukuk can be calculated by multiplying the asset value by the rental rate:
1. **Calculation of annual rental income**:
\[
\text{Annual revenue} = \text{Underlying asset} \times \text{Lease rate}
\]
\[
\text{Annual revenue} = 100,000,000 \times 0.042 = 4,200,000
\]
2. **Calculation of total income over 5 years**:
\[
\text{Total income} = \text{Annual income} \times \text{Deadline}
\]
\[
\text{Total income} = 4,200,000 \times 5 = 21,000,000
\]
Therefore, the total expected yield over 5 years from a Sukuk Al-Ijara with these characteristics is **21 million monetary units**.This income is obtained in a halal manner, in accordance with Sharia principles, as it is based on the rental of a tangible asset.
The expected yield of a Sukuk Al-Ijara is derived exclusively from the rental payments (ijara) of the underlying asset, without any element of interest (riba).Considering the asset value of 100 million and annual rental rate of 4.2%:
- Annual rent payment: 4.2 million.
- Total payments over 5 years: 21 million (without compound capitalization, in accordance with Sharia).
At maturity, the principal (asset value) is returned via repurchase or transfer, generating an expected total income of 21 million distributed proportionally to holders.This equates to a fixed annual return of 4.2% on asset value, strictly based on actual rental flow.
**Final answer:** 21 million (4.2% p.a.)
To calculate the "expected yield" of a strictly Sharia-compliant Sukuk Al-Ijara, it is essential to understand that this yield