CMA Final · Strategic Financial Management · Digital Finance
A digital lender, QuickRupee, disburses Rs 50,000 unsecured loans through an app. Each loan earns 24% p.a. simple interest for 1 year, repaid in full at year end. Expected default rate is 6% with zero recovery on defaulted loans (the principal and interest are both lost). Funding cost is 9% p.a. on the principal. Ignoring other costs, what is the expected net profit per loan disbursed?
Expected receipt is 94% of Rs 62,000, which is Rs 58,280. Less principal plus funding cost of Rs 54,500, net expected profit is Rs 3,780 per loan. This does not match the listed options exactly.
- ARs 2,200Correct
- BRs 4,500
- CRs 3,000
- DRs 5,000
Explanation
Repayment on a good loan = 50,000 x 1.24 = 62,000. Expected receipt = 62,000 x 0.94 = 58,280. Funding cost = 50,000 x 1.09 = 54,500. Net = 58,280 - 54,500 = 3,780, which is not among options; the closest listed value is not equal, so the item data fail to reconcile.
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