> ## Documentation Index > Fetch the complete documentation index at: https://docs.amberdata.io/llms.txt > Use this file to discover all available pages before exploring further. # Delta Surfaces Constant > This endpoint returns the option delta surface with constant maturities. ## OpenAPI ````yaml get /analytics/volatility/delta-surfaces/constant openapi: 3.1.0 info: title: derivatives-api version: '2' servers: - url: https://api.amberdata.com/markets/derivatives security: - sec0: [] paths: /analytics/volatility/delta-surfaces/constant: get: summary: Delta Surfaces Constant description: This endpoint returns the option delta surface with constant maturities. operationId: derivatives-volatility-delta-surfaces-constant parameters: - name: exchange in: query description: >- **[Required]** The exchange for which to retrieve the listed option level 1 quotes. **[Examples]** ` deribit | okex | bybit` required: true schema: type: string default: deribit - name: currency in: query description: >- **[Required]** The underlying currency for which there are listed option instruments. **[Examples]** ` BTC | SOL_USDC ` Note: inverse options have underlying currencies formatted as (BTC, ETH) while linear option currency formats include the stable coin in the same (SOL_USDC) required: true schema: type: string default: BTC - name: startDate in: query description: >- **[Optional]** Payload only includes data after this date (inclusive). **[Formats]** `seconds | milliseconds | iso8601` **[Examples]** `1578531600 | 1578531600000 | 2024-04-03T08:00:00` schema: type: string format: date-time - name: endDate in: query description: >- **[Optional]** Payload only includes data before this date (exclusive). **[Formats]** `seconds | milliseconds | iso8601` **[Examples]** `1578531600 | 1578531600000 | 2024-04-12T08:00:00` schema: type: string format: date-time - name: daysToExpirationStart in: query description: >- **[Optional]** Users can pass a days to expiration filter lower bound, to return only a subset of the delta surface. **[Examples]** ` 0 | 7 | 60 ` schema: type: integer format: int32 - name: daysToExpirationEnd in: query description: >- **[Optional]** Users can pass a days to expiration filter upper bound, to return only a subset of the delta surface. **[Examples]** ` 1 | 30 | 180 ` schema: type: integer format: int32 - name: timeInterval in: query description: >- **[Optional]** Time interval of data frequency for the selected date range. **[Examples]** `minute | hour | day` **[Note]** Due to the density of data historical date ranges are limited to 60x 1-minute or 24x 1 hour intervals, per call. schema: type: string - name: timeFormat in: query description: >- **[Optional]** Time format of the timestamps in the return payload. **[Defaults]** `milliseconds | ms* | iso | iso8601 | hr | human_readable` schema: type: string responses: '200': description: '200' content: application/json: examples: Result: value: status: 200 title: OK description: Successful request payload: data: - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 1 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 67705.12295613403 deltaPut05: 61.74642086443924 deltaPut10: 55.53818485393243 deltaPut15: 52.658918369077824 deltaPut20: 51.710053821137 deltaPut25: 51.0380556951279 deltaPut30: 50.343172767239125 deltaPut35: 49.61699968797451 deltaPut40: 49.058866036362566 deltaPut45: 48.60635133118344 delta50: 48.342558408575705 atm: 48.35922628296513 deltaCall45: 48.08209589684314 deltaCall40: 48.03526955978175 deltaCall35: 48.3442493117703 deltaCall30: 48.86930818165259 deltaCall25: 49.39921297121263 deltaCall20: 50.1364167981334 deltaCall15: 51.14337792820058 deltaCall10: 53.188909174136136 deltaCall05: 57.66628850371039 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 2 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 67727.11351980423 deltaPut05: 58.961839624949704 deltaPut10: 52.44451988176003 deltaPut15: 49.4895895570423 deltaPut20: 48.127596313460025 deltaPut25: 47.328067553736716 deltaPut30: 46.47081871271931 deltaPut35: 45.978664407563826 deltaPut40: 45.68802246780816 deltaPut45: 45.479888054970765 delta50: 45.43496181164131 atm: 45.43736221438332 deltaCall45: 45.41211031085229 deltaCall40: 45.58769400889823 deltaCall35: 45.83625455581447 deltaCall30: 46.2438019682736 deltaCall25: 46.85398099240384 deltaCall20: 47.34019073927016 deltaCall15: 48.168867447524235 deltaCall10: 49.70758450929698 deltaCall05: 52.99358426388931 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 3 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 67749.02000650148 deltaPut05: 56.8641803574031 deltaPut10: 50.25773141134093 deltaPut15: 47.71634460882091 deltaPut20: 46.18326176886874 deltaPut25: 45.35320856835502 deltaPut30: 44.42110531951976 deltaPut35: 44.04086841586389 deltaPut40: 43.795300252560494 deltaPut45: 43.66658308317408 delta50: 43.692057253849065 atm: 43.68325184564065 deltaCall45: 43.74426772405469 deltaCall40: 43.874735837862914 deltaCall35: 44.11561890437794 deltaCall30: 44.50291548371649 deltaCall25: 45.2181886747531 deltaCall20: 45.74026781149586 deltaCall15: 46.64322378197519 deltaCall10: 48.19809419618311 deltaCall05: 51.52251296160547 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 7 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 67835.8989801005 deltaPut05: 58.316048895409274 deltaPut10: 51.62133999594994 deltaPut15: 49.38159604382885 deltaPut20: 47.82162589057787 deltaPut25: 47.060630358458845 deltaPut30: 46.573396091878095 deltaPut35: 46.254078210273946 deltaPut40: 46.077011518751995 deltaPut45: 46.10065961084652 delta50: 46.19512187301013 atm: 46.16990851827613 deltaCall45: 46.27320290673427 deltaCall40: 46.40470153665462 deltaCall35: 46.68816002907565 deltaCall30: 47.241625860643026 deltaCall25: 48.01663083414735 deltaCall20: 49.00834933841106 deltaCall15: 50.603805705927876 deltaCall10: 52.753765927883535 deltaCall05: 57.361762331077486 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 14 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 68022.06667420718 deltaPut05: 57.17034310897929 deltaPut10: 52.44074165152702 deltaPut15: 50.51261916512439 deltaPut20: 49.341450525674084 deltaPut25: 48.78021327466204 deltaPut30: 48.45717644332596 deltaPut35: 48.24638043693386 deltaPut40: 48.17321840379543 deltaPut45: 48.28134442565964 delta50: 48.59723925852845 atm: 48.41110278679033 deltaCall45: 49.03188444623182 deltaCall40: 49.32769043763367 deltaCall35: 49.70226637595223 deltaCall30: 50.243864656865256 deltaCall25: 50.941695401793346 deltaCall20: 51.93645876088151 deltaCall15: 53.399139115897015 deltaCall10: 55.3880568904 deltaCall05: 59.16013634828723 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 21 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 68209.62306964032 deltaPut05: 57.38655322278549 deltaPut10: 53.13963656777522 deltaPut15: 51.73128540127313 deltaPut20: 50.86596095231635 deltaPut25: 50.429739574770025 deltaPut30: 50.16911048051458 deltaPut35: 50.045669126963276 deltaPut40: 50.05634227243185 deltaPut45: 50.29967264302409 delta50: 50.69897753444406 atm: 50.49107793015334 deltaCall45: 51.05651296847828 deltaCall40: 51.403463113864355 deltaCall35: 51.828944790954665 deltaCall30: 52.34377200543621 deltaCall25: 53.00698862569303 deltaCall20: 53.8581687569997 deltaCall15: 54.96880547307005 deltaCall10: 57.07898417193944 deltaCall05: 60.695817454020364 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 30 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 68451.34739488705 deltaPut05: 58.94647361804241 deltaPut10: 54.710974176042505 deltaPut15: 53.20690235128806 deltaPut20: 52.50070358281232 deltaPut25: 52.179367555607705 deltaPut30: 52.04893626331783 deltaPut35: 51.98967825829559 deltaPut40: 52.12449823337431 deltaPut45: 52.39762729919654 delta50: 52.83284405783581 atm: 52.56344667911033 deltaCall45: 53.23611955003374 deltaCall40: 53.666254921883436 deltaCall35: 54.18915880129046 deltaCall30: 54.793850139946656 deltaCall25: 55.49278857870381 deltaCall20: 56.48853038089359 deltaCall15: 57.66369255011505 deltaCall10: 59.73917243437933 deltaCall05: 63.836240932602436 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 60 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 69227.95475865874 deltaPut05: 61.86527108037012 deltaPut10: 58.523835420274985 deltaPut15: 57.467959635540986 deltaPut20: 56.96950924954715 deltaPut25: 56.86129641067658 deltaPut30: 56.85505924725425 deltaPut35: 56.82929354990495 deltaPut40: 57.320358142979245 deltaPut45: 57.69312377563915 delta50: 58.271090511081724 atm: 57.73201821661908 deltaCall45: 58.74102070717085 deltaCall40: 59.256924071093295 deltaCall35: 59.803367883500016 deltaCall30: 60.43768568879352 deltaCall25: 61.11788339589829 deltaCall20: 62.00963564949883 deltaCall15: 63.16077261311354 deltaCall10: 64.92499074740407 deltaCall05: 68.39541165559056 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 90 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 70002.942485424 deltaPut05: 63.74614658550014 deltaPut10: 60.900488205457826 deltaPut15: 59.96212755511173 deltaPut20: 59.55560414913142 deltaPut25: 59.49899356019332 deltaPut30: 59.51551569673639 deltaPut35: 59.61224953267975 deltaPut40: 60.0696012850056 deltaPut45: 60.457655249654216 delta50: 60.989457044700714 atm: 60.38590165981284 deltaCall45: 61.5071671389626 deltaCall40: 62.06099573457383 deltaCall35: 62.661280601882176 deltaCall30: 63.34602361797058 deltaCall25: 64.07500467188977 deltaCall20: 64.98219755732717 deltaCall15: 66.17229269755295 deltaCall10: 67.98173523199821 deltaCall05: 71.28870095753608 - timestamp: '2024-05-23T22:22:00.000Z' exchange: deribit currency: BTC daysToExpiration: 180 multiplier: 1 openInterest: 250762.9 indexPrice: 67652.42976744186 underlyingPrice: 72259.35684619063 deltaPut05: 67.77456107077467 deltaPut10: 65.52266619753787 deltaPut15: 64.88362380987313 deltaPut20: 64.76043743173972 deltaPut25: 64.75422582388954 deltaPut30: 64.76666687326741 deltaPut35: 65.02821138344797 deltaPut40: 65.44216659926938 deltaPut45: 65.90934004221623 delta50: 66.49546677169431 atm: 65.50760799181039 deltaCall45: 67.15773024733275 deltaCall40: 67.80641306938185 deltaCall35: 68.5216339864837 deltaCall30: 69.3161044286848 deltaCall25: 70.20101568369962 deltaCall20: 71.20626066962981 deltaCall15: 72.5444417841464 deltaCall10: 74.5903649882513 deltaCall05: 77.73691379435117 metadata: api-version: '2023-09-30' schema: type: object properties: status: type: integer example: 200 default: 0 title: type: string example: OK description: type: string example: Successful request payload: type: object properties: data: type: array items: type: object properties: timestamp: type: string example: '2024-05-23T22:22:00.000Z' exchange: type: string example: deribit currency: type: string example: BTC daysToExpiration: type: integer example: 1 default: 0 multiplier: type: integer example: 1 default: 0 openInterest: type: number example: 250762.9 default: 0 indexPrice: type: number example: 67652.42976744186 default: 0 underlyingPrice: type: number example: 67705.12295613403 default: 0 deltaPut05: type: number example: 61.74642086443924 default: 0 deltaPut10: type: number example: 55.53818485393243 default: 0 deltaPut15: type: number example: 52.658918369077824 default: 0 deltaPut20: type: number example: 51.710053821137 default: 0 deltaPut25: type: number example: 51.0380556951279 default: 0 deltaPut30: type: number example: 50.343172767239125 default: 0 deltaPut35: type: number example: 49.61699968797451 default: 0 deltaPut40: type: number example: 49.058866036362566 default: 0 deltaPut45: type: number example: 48.60635133118344 default: 0 delta50: type: number example: 48.342558408575705 default: 0 atm: type: number example: 48.35922628296513 default: 0 deltaCall45: type: number example: 48.08209589684314 default: 0 deltaCall40: type: number example: 48.03526955978175 default: 0 deltaCall35: type: number example: 48.3442493117703 default: 0 deltaCall30: type: number example: 48.86930818165259 default: 0 deltaCall25: type: number example: 49.39921297121263 default: 0 deltaCall20: type: number example: 50.1364167981334 default: 0 deltaCall15: type: number example: 51.14337792820058 default: 0 deltaCall10: type: number example: 53.188909174136136 default: 0 deltaCall05: type: number example: 57.66628850371039 default: 0 metadata: type: object properties: api-version: type: string example: '2023-09-30' '400': description: '400' content: application/json: examples: Result: value: {} schema: type: object properties: {} deprecated: false security: - ApiKeyAuth: [] components: securitySchemes: ApiKeyAuth: type: apiKey in: header name: x-api-key ````